{"qid": 12200, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 6], "B": [4, -8], "C": [-1, -9], "D": [13, -14]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(9, 6)\u2192B=(4, -8); CD C=(-1, -9)\u2192D=(13, -14). Perpendicular?", "im_path": "/images_full/task_12200_perp.png", "im_dots_path": "/images/task_12200_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12201, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -5], "B": [-8, -2], "C": [-5, 1], "D": [-1, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-6, -5)\u2192B=(-8, -2); CD C=(-5, 1)\u2192D=(-1, -7). Perpendicular?", "im_path": "/images_full/task_12201_perp.png", "im_dots_path": "/images/task_12201_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12202, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, -5], "B": [-1, -5], "C": [-7, 4], "D": [10, 6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(5, -5)\u2192B=(-1, -5); CD C=(-7, 4)\u2192D=(10, 6). Perpendicular?", "im_path": "/images_full/task_12202_perp.png", "im_dots_path": "/images/task_12202_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12203, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, -4], "B": [9, 1], "C": [-4, -4], "D": [-9, 13]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-8, -4)\u2192B=(9, 1); CD C=(-4, -4)\u2192D=(-9, 13). Perpendicular?", "im_path": "/images_full/task_12203_perp.png", "im_dots_path": "/images/task_12203_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12204, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 4], "B": [-6, -4], "C": [9, -8], "D": [-9, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(0, 4)\u2192B=(-6, -4); CD C=(9, -8)\u2192D=(-9, 10). Perpendicular?", "im_path": "/images_full/task_12204_perp.png", "im_dots_path": "/images/task_12204_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12205, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, -2], "B": [7, 8], "C": [-5, 6], "D": [-15, 16]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-3, -2)\u2192B=(7, 8); CD C=(-5, 6)\u2192D=(-15, 16). Perpendicular?", "im_path": "/images_full/task_12205_perp.png", "im_dots_path": "/images/task_12205_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12206, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 4], "B": [-8, 5], "C": [2, -8], "D": [1, -18]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(2, 4)\u2192B=(-8, 5); CD C=(2, -8)\u2192D=(1, -18). Perpendicular?", "im_path": "/images_full/task_12206_perp.png", "im_dots_path": "/images/task_12206_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12207, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -2], "B": [9, -5], "C": [-7, -8], "D": [-4, 7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-6, -2)\u2192B=(9, -5); CD C=(-7, -8)\u2192D=(-4, 7). Perpendicular?", "im_path": "/images_full/task_12207_perp.png", "im_dots_path": "/images/task_12207_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12208, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, 9], "B": [-10, -8], "C": [-8, -3], "D": [9, -9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-4, 9)\u2192B=(-10, -8); CD C=(-8, -3)\u2192D=(9, -9). Perpendicular?", "im_path": "/images_full/task_12208_perp.png", "im_dots_path": "/images/task_12208_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12209, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, -1], "B": [8, -6], "C": [-6, 7], "D": [1, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(10, -1)\u2192B=(8, -6); CD C=(-6, 7)\u2192D=(1, -6). Perpendicular?", "im_path": "/images_full/task_12209_perp.png", "im_dots_path": "/images/task_12209_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12210, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -4], "B": [1, -3], "C": [-2, -1], "D": [-3, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-1, -4)\u2192B=(1, -3); CD C=(-2, -1)\u2192D=(-3, 1). Perpendicular?", "im_path": "/images_full/task_12210_perp.png", "im_dots_path": "/images/task_12210_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12211, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, 6], "B": [-3, -2], "C": [-7, -2], "D": [-5, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(1, 6)\u2192B=(-3, -2); CD C=(-7, -2)\u2192D=(-5, 5). Perpendicular?", "im_path": "/images_full/task_12211_perp.png", "im_dots_path": "/images/task_12211_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12212, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, -5], "B": [-6, 5], "C": [-7, -2], "D": [-17, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-9, -5)\u2192B=(-6, 5); CD C=(-7, -2)\u2192D=(-17, 1). Perpendicular?", "im_path": "/images_full/task_12212_perp.png", "im_dots_path": "/images/task_12212_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12213, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, -5], "B": [1, -10], "C": [-3, -4], "D": [2, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-8, -5)\u2192B=(1, -10); CD C=(-3, -4)\u2192D=(2, 5). Perpendicular?", "im_path": "/images_full/task_12213_perp.png", "im_dots_path": "/images/task_12213_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12214, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 8], "B": [7, 6], "C": [7, -3], "D": [7, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-8, 8)\u2192B=(7, 6); CD C=(7, -3)\u2192D=(7, 7). Perpendicular?", "im_path": "/images_full/task_12214_perp.png", "im_dots_path": "/images/task_12214_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12215, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, 0], "B": [2, -10], "C": [5, 10], "D": [-2, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-9, 0)\u2192B=(2, -10); CD C=(5, 10)\u2192D=(-2, -2). Perpendicular?", "im_path": "/images_full/task_12215_perp.png", "im_dots_path": "/images/task_12215_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12216, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, -3], "B": [4, 2], "C": [-10, -10], "D": [-15, -11]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(5, -3)\u2192B=(4, 2); CD C=(-10, -10)\u2192D=(-15, -11). Perpendicular?", "im_path": "/images_full/task_12216_perp.png", "im_dots_path": "/images/task_12216_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12217, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -10], "B": [3, -10], "C": [-4, -5], "D": [6, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-1, -10)\u2192B=(3, -10); CD C=(-4, -5)\u2192D=(6, 5). Perpendicular?", "im_path": "/images_full/task_12217_perp.png", "im_dots_path": "/images/task_12217_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12218, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, -7], "B": [10, 6], "C": [4, -10], "D": [-9, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(3, -7)\u2192B=(10, 6); CD C=(4, -10)\u2192D=(-9, -3). Perpendicular?", "im_path": "/images_full/task_12218_perp.png", "im_dots_path": "/images/task_12218_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12219, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, 0], "B": [3, -2], "C": [-2, -2], "D": [-8, -5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-7, 0)\u2192B=(3, -2); CD C=(-2, -2)\u2192D=(-8, -5). Perpendicular?", "im_path": "/images_full/task_12219_perp.png", "im_dots_path": "/images/task_12219_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12220, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, 10], "B": [-10, 3], "C": [-1, 10], "D": [5, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-5, 10)\u2192B=(-10, 3); CD C=(-1, 10)\u2192D=(5, 8). Perpendicular?", "im_path": "/images_full/task_12220_perp.png", "im_dots_path": "/images/task_12220_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12221, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 3], "B": [-8, -3], "C": [3, -7], "D": [8, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(2, 3)\u2192B=(-8, -3); CD C=(3, -7)\u2192D=(8, -7). Perpendicular?", "im_path": "/images_full/task_12221_perp.png", "im_dots_path": "/images/task_12221_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12222, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, 10], "B": [6, -7], "C": [5, 8], "D": [22, 15]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-1, 10)\u2192B=(6, -7); CD C=(5, 8)\u2192D=(22, 15). Perpendicular?", "im_path": "/images_full/task_12222_perp.png", "im_dots_path": "/images/task_12222_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12223, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, -4], "B": [8, 1], "C": [-7, -7], "D": [6, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-5, -4)\u2192B=(8, 1); CD C=(-7, -7)\u2192D=(6, -9). Perpendicular?", "im_path": "/images_full/task_12223_perp.png", "im_dots_path": "/images/task_12223_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12224, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, 6], "B": [-5, 8], "C": [2, 4], "D": [0, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-6, 6)\u2192B=(-5, 8); CD C=(2, 4)\u2192D=(0, 5). Perpendicular?", "im_path": "/images_full/task_12224_perp.png", "im_dots_path": "/images/task_12224_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12225, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, 9], "B": [4, 1], "C": [-10, -2], "D": [10, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-1, 9)\u2192B=(4, 1); CD C=(-10, -2)\u2192D=(10, 7). Perpendicular?", "im_path": "/images_full/task_12225_perp.png", "im_dots_path": "/images/task_12225_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12226, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, 0], "B": [7, 10], "C": [7, -10], "D": [-3, 2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-5, 0)\u2192B=(7, 10); CD C=(7, -10)\u2192D=(-3, 2). Perpendicular?", "im_path": "/images_full/task_12226_perp.png", "im_dots_path": "/images/task_12226_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12227, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 1], "B": [-10, 8], "C": [-5, 0], "D": [-12, -13]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(3, 1)\u2192B=(-10, 8); CD C=(-5, 0)\u2192D=(-12, -13). Perpendicular?", "im_path": "/images_full/task_12227_perp.png", "im_dots_path": "/images/task_12227_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12228, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, -8], "B": [-3, 2], "C": [5, -4], "D": [-10, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-3, -8)\u2192B=(-3, 2); CD C=(5, -4)\u2192D=(-10, -2). Perpendicular?", "im_path": "/images_full/task_12228_perp.png", "im_dots_path": "/images/task_12228_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12229, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 10], "B": [-2, 4], "C": [-9, -8], "D": [8, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(3, 10)\u2192B=(-2, 4); CD C=(-9, -8)\u2192D=(8, -2). Perpendicular?", "im_path": "/images_full/task_12229_perp.png", "im_dots_path": "/images/task_12229_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12230, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 0], "B": [3, -8], "C": [3, 6], "D": [-8, 6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(4, 0)\u2192B=(3, -8); CD C=(3, 6)\u2192D=(-8, 6). Perpendicular?", "im_path": "/images_full/task_12230_perp.png", "im_dots_path": "/images/task_12230_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12231, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, 9], "B": [8, 3], "C": [-4, -5], "D": [3, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-6, 9)\u2192B=(8, 3); CD C=(-4, -5)\u2192D=(3, -3). Perpendicular?", "im_path": "/images_full/task_12231_perp.png", "im_dots_path": "/images/task_12231_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12232, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -3], "B": [5, 8], "C": [-4, -4], "D": [6, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-6, -3)\u2192B=(5, 8); CD C=(-4, -4)\u2192D=(6, -3). Perpendicular?", "im_path": "/images_full/task_12232_perp.png", "im_dots_path": "/images/task_12232_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12233, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, 7], "B": [6, -9], "C": [-7, -3], "D": [9, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-2, 7)\u2192B=(6, -9); CD C=(-7, -3)\u2192D=(9, 5). Perpendicular?", "im_path": "/images_full/task_12233_perp.png", "im_dots_path": "/images/task_12233_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12234, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, -6], "B": [-7, -8], "C": [4, 5], "D": [3, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(6, -6)\u2192B=(-7, -8); CD C=(4, 5)\u2192D=(3, 10). Perpendicular?", "im_path": "/images_full/task_12234_perp.png", "im_dots_path": "/images/task_12234_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12235, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, -8], "B": [2, -7], "C": [-4, -3], "D": [-5, -8]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(7, -8)\u2192B=(2, -7); CD C=(-4, -3)\u2192D=(-5, -8). Perpendicular?", "im_path": "/images_full/task_12235_perp.png", "im_dots_path": "/images/task_12235_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12236, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, -6], "B": [4, -7], "C": [1, -7], "D": [0, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(7, -6)\u2192B=(4, -7); CD C=(1, -7)\u2192D=(0, -2). Perpendicular?", "im_path": "/images_full/task_12236_perp.png", "im_dots_path": "/images/task_12236_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12237, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, 6], "B": [-7, -4], "C": [-1, -3], "D": [9, -1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-9, 6)\u2192B=(-7, -4); CD C=(-1, -3)\u2192D=(9, -1). Perpendicular?", "im_path": "/images_full/task_12237_perp.png", "im_dots_path": "/images/task_12237_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12238, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 5], "B": [0, 5], "C": [-9, 0], "D": [-6, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-8, 5)\u2192B=(0, 5); CD C=(-9, 0)\u2192D=(-6, 2). Perpendicular?", "im_path": "/images_full/task_12238_perp.png", "im_dots_path": "/images/task_12238_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12239, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, -9], "B": [-6, -3], "C": [-3, -2], "D": [-9, -17]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(9, -9)\u2192B=(-6, -3); CD C=(-3, -2)\u2192D=(-9, -17). Perpendicular?", "im_path": "/images_full/task_12239_perp.png", "im_dots_path": "/images/task_12239_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12240, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 5], "B": [10, -8], "C": [0, 5], "D": [3, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-8, 5)\u2192B=(10, -8); CD C=(0, 5)\u2192D=(3, 3). Perpendicular?", "im_path": "/images_full/task_12240_perp.png", "im_dots_path": "/images/task_12240_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12241, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, -9], "B": [1, -4], "C": [-2, 6], "D": [5, 9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(4, -9)\u2192B=(1, -4); CD C=(-2, 6)\u2192D=(5, 9). Perpendicular?", "im_path": "/images_full/task_12241_perp.png", "im_dots_path": "/images/task_12241_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12242, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 3], "B": [9, 8], "C": [-4, 8], "D": [-1, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(10, 3)\u2192B=(9, 8); CD C=(-4, 8)\u2192D=(-1, -3). Perpendicular?", "im_path": "/images_full/task_12242_perp.png", "im_dots_path": "/images/task_12242_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12243, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, 2], "B": [-9, -9], "C": [1, 4], "D": [12, 4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-9, 2)\u2192B=(-9, -9); CD C=(1, 4)\u2192D=(12, 4). Perpendicular?", "im_path": "/images_full/task_12243_perp.png", "im_dots_path": "/images/task_12243_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12244, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 5], "B": [0, 10], "C": [1, -5], "D": [-4, -9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(4, 5)\u2192B=(0, 10); CD C=(1, -5)\u2192D=(-4, -9). Perpendicular?", "im_path": "/images_full/task_12244_perp.png", "im_dots_path": "/images/task_12244_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12245, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 8], "B": [-3, -9], "C": [7, 6], "D": [24, -2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(5, 8)\u2192B=(-3, -9); CD C=(7, 6)\u2192D=(24, -2). Perpendicular?", "im_path": "/images_full/task_12245_perp.png", "im_dots_path": "/images/task_12245_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12246, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 3], "B": [9, 6], "C": [8, -2], "D": [0, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(0, 3)\u2192B=(9, 6); CD C=(8, -2)\u2192D=(0, -10). Perpendicular?", "im_path": "/images_full/task_12246_perp.png", "im_dots_path": "/images/task_12246_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12247, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, 3], "B": [9, 4], "C": [-3, -2], "D": [5, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(7, 3)\u2192B=(9, 4); CD C=(-3, -2)\u2192D=(5, 1). Perpendicular?", "im_path": "/images_full/task_12247_perp.png", "im_dots_path": "/images/task_12247_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12248, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, -7], "B": [-7, 1], "C": [4, -2], "D": [-4, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-10, -7)\u2192B=(-7, 1); CD C=(4, -2)\u2192D=(-4, 1). Perpendicular?", "im_path": "/images_full/task_12248_perp.png", "im_dots_path": "/images/task_12248_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12249, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 4], "B": [4, -7], "C": [-6, 5], "D": [1, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-8, 4)\u2192B=(4, -7); CD C=(-6, 5)\u2192D=(1, 3). Perpendicular?", "im_path": "/images_full/task_12249_perp.png", "im_dots_path": "/images/task_12249_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12250, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 3], "B": [4, -3], "C": [-10, 0], "D": [-4, -4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(8, 3)\u2192B=(4, -3); CD C=(-10, 0)\u2192D=(-4, -4). Perpendicular?", "im_path": "/images_full/task_12250_perp.png", "im_dots_path": "/images/task_12250_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12251, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, -5], "B": [-8, 5], "C": [-1, 0], "D": [10, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(8, -5)\u2192B=(-8, 5); CD C=(-1, 0)\u2192D=(10, 3). Perpendicular?", "im_path": "/images_full/task_12251_perp.png", "im_dots_path": "/images/task_12251_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12252, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 6], "B": [-3, 4], "C": [7, -8], "D": [9, -14]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(3, 6)\u2192B=(-3, 4); CD C=(7, -8)\u2192D=(9, -14). Perpendicular?", "im_path": "/images_full/task_12252_perp.png", "im_dots_path": "/images/task_12252_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12253, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -8], "B": [7, 1], "C": [3, 0], "D": [-6, 8]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-1, -8)\u2192B=(7, 1); CD C=(3, 0)\u2192D=(-6, 8). Perpendicular?", "im_path": "/images_full/task_12253_perp.png", "im_dots_path": "/images/task_12253_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12254, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, 6], "B": [-8, 1], "C": [-6, 7], "D": [-1, 3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-4, 6)\u2192B=(-8, 1); CD C=(-6, 7)\u2192D=(-1, 3). Perpendicular?", "im_path": "/images_full/task_12254_perp.png", "im_dots_path": "/images/task_12254_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12255, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, 7], "B": [10, 1], "C": [-2, -1], "D": [10, 9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-10, 7)\u2192B=(10, 1); CD C=(-2, -1)\u2192D=(10, 9). Perpendicular?", "im_path": "/images_full/task_12255_perp.png", "im_dots_path": "/images/task_12255_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12256, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -9], "B": [-5, -9], "C": [3, 10], "D": [3, 6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-1, -9)\u2192B=(-5, -9); CD C=(3, 10)\u2192D=(3, 6). Perpendicular?", "im_path": "/images_full/task_12256_perp.png", "im_dots_path": "/images/task_12256_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12257, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -4], "B": [10, 7], "C": [-10, 9], "D": [-21, 19]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(0, -4)\u2192B=(10, 7); CD C=(-10, 9)\u2192D=(-21, 19). Perpendicular?", "im_path": "/images_full/task_12257_perp.png", "im_dots_path": "/images/task_12257_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12258, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, 3], "B": [4, 4], "C": [5, 4], "D": [4, 9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-1, 3)\u2192B=(4, 4); CD C=(5, 4)\u2192D=(4, 9). Perpendicular?", "im_path": "/images_full/task_12258_perp.png", "im_dots_path": "/images/task_12258_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12259, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -6], "B": [7, -8], "C": [1, -1], "D": [3, 7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-1, -6)\u2192B=(7, -8); CD C=(1, -1)\u2192D=(3, 7). Perpendicular?", "im_path": "/images_full/task_12259_perp.png", "im_dots_path": "/images/task_12259_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12260, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, -2], "B": [2, 0], "C": [-8, -8], "D": [-10, -8]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(2, -2)\u2192B=(2, 0); CD C=(-8, -8)\u2192D=(-10, -8). Perpendicular?", "im_path": "/images_full/task_12260_perp.png", "im_dots_path": "/images/task_12260_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12261, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -7], "B": [10, 5], "C": [2, -6], "D": [-3, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(0, -7)\u2192B=(10, 5); CD C=(2, -6)\u2192D=(-3, 4). Perpendicular?", "im_path": "/images_full/task_12261_perp.png", "im_dots_path": "/images/task_12261_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12262, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 0], "B": [-1, -9], "C": [5, -10], "D": [3, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(5, 0)\u2192B=(-1, -9); CD C=(5, -10)\u2192D=(3, 4). Perpendicular?", "im_path": "/images_full/task_12262_perp.png", "im_dots_path": "/images/task_12262_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12263, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 4], "B": [1, -9], "C": [4, -2], "D": [17, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(2, 4)\u2192B=(1, -9); CD C=(4, -2)\u2192D=(17, -3). Perpendicular?", "im_path": "/images_full/task_12263_perp.png", "im_dots_path": "/images/task_12263_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12264, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, -7], "B": [6, 8], "C": [-8, -2], "D": [-23, 6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-2, -7)\u2192B=(6, 8); CD C=(-8, -2)\u2192D=(-23, 6). Perpendicular?", "im_path": "/images_full/task_12264_perp.png", "im_dots_path": "/images/task_12264_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12265, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, 10], "B": [9, 3], "C": [-9, 8], "D": [-2, 23]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-6, 10)\u2192B=(9, 3); CD C=(-9, 8)\u2192D=(-2, 23). Perpendicular?", "im_path": "/images_full/task_12265_perp.png", "im_dots_path": "/images/task_12265_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12266, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 2], "B": [-4, -7], "C": [5, 10], "D": [-9, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-8, 2)\u2192B=(-4, -7); CD C=(5, 10)\u2192D=(-9, -7). Perpendicular?", "im_path": "/images_full/task_12266_perp.png", "im_dots_path": "/images/task_12266_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12267, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 10], "B": [-4, 2], "C": [9, -4], "D": [1, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(2, 10)\u2192B=(-4, 2); CD C=(9, -4)\u2192D=(1, -6). Perpendicular?", "im_path": "/images_full/task_12267_perp.png", "im_dots_path": "/images/task_12267_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12268, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, -10], "B": [-5, 7], "C": [-5, -1], "D": [-8, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(1, -10)\u2192B=(-5, 7); CD C=(-5, -1)\u2192D=(-8, 4). Perpendicular?", "im_path": "/images_full/task_12268_perp.png", "im_dots_path": "/images/task_12268_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12269, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, 4], "B": [-4, -6], "C": [10, -10], "D": [5, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-3, 4)\u2192B=(-4, -6); CD C=(10, -10)\u2192D=(5, -6). Perpendicular?", "im_path": "/images_full/task_12269_perp.png", "im_dots_path": "/images/task_12269_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12270, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 10], "B": [9, 7], "C": [4, -9], "D": [-3, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(3, 10)\u2192B=(9, 7); CD C=(4, -9)\u2192D=(-3, -8). Perpendicular?", "im_path": "/images_full/task_12270_perp.png", "im_dots_path": "/images/task_12270_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12271, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -3], "B": [3, -7], "C": [-6, 9], "D": [1, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(0, -3)\u2192B=(3, -7); CD C=(-6, 9)\u2192D=(1, -10). Perpendicular?", "im_path": "/images_full/task_12271_perp.png", "im_dots_path": "/images/task_12271_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12272, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, -1], "B": [-3, 6], "C": [-9, -9], "D": [-7, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(7, -1)\u2192B=(-3, 6); CD C=(-9, -9)\u2192D=(-7, 5). Perpendicular?", "im_path": "/images_full/task_12272_perp.png", "im_dots_path": "/images/task_12272_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12273, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 7], "B": [6, -9], "C": [1, -1], "D": [-5, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(9, 7)\u2192B=(6, -9); CD C=(1, -1)\u2192D=(-5, 5). Perpendicular?", "im_path": "/images_full/task_12273_perp.png", "im_dots_path": "/images/task_12273_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12274, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, -8], "B": [-9, 8], "C": [1, -1], "D": [-15, -5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-5, -8)\u2192B=(-9, 8); CD C=(1, -1)\u2192D=(-15, -5). Perpendicular?", "im_path": "/images_full/task_12274_perp.png", "im_dots_path": "/images/task_12274_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12275, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 1], "B": [-10, 2], "C": [-8, -6], "D": [-5, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(2, 1)\u2192B=(-10, 2); CD C=(-8, -6)\u2192D=(-5, -7). Perpendicular?", "im_path": "/images_full/task_12275_perp.png", "im_dots_path": "/images/task_12275_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12276, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, 0], "B": [6, -5], "C": [-4, -10], "D": [1, 2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-6, 0)\u2192B=(6, -5); CD C=(-4, -10)\u2192D=(1, 2). Perpendicular?", "im_path": "/images_full/task_12276_perp.png", "im_dots_path": "/images/task_12276_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12277, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 0], "B": [-9, 9], "C": [1, -9], "D": [-2, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(2, 0)\u2192B=(-9, 9); CD C=(1, -9)\u2192D=(-2, 10). Perpendicular?", "im_path": "/images_full/task_12277_perp.png", "im_dots_path": "/images/task_12277_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12278, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -8], "B": [-5, -8], "C": [4, 4], "D": [8, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-6, -8)\u2192B=(-5, -8); CD C=(4, 4)\u2192D=(8, -1). Perpendicular?", "im_path": "/images_full/task_12278_perp.png", "im_dots_path": "/images/task_12278_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12279, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, 1], "B": [0, 4], "C": [8, -4], "D": [5, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-1, 1)\u2192B=(0, 4); CD C=(8, -4)\u2192D=(5, -3). Perpendicular?", "im_path": "/images_full/task_12279_perp.png", "im_dots_path": "/images/task_12279_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12280, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, -7], "B": [2, 5], "C": [4, 10], "D": [3, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-2, -7)\u2192B=(2, 5); CD C=(4, 10)\u2192D=(3, 3). Perpendicular?", "im_path": "/images_full/task_12280_perp.png", "im_dots_path": "/images/task_12280_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12281, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, -10], "B": [8, 2], "C": [-7, 2], "D": [-8, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(6, -10)\u2192B=(8, 2); CD C=(-7, 2)\u2192D=(-8, 4). Perpendicular?", "im_path": "/images_full/task_12281_perp.png", "im_dots_path": "/images/task_12281_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12282, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, 5], "B": [-5, -4], "C": [0, 0], "D": [9, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-10, 5)\u2192B=(-5, -4); CD C=(0, 0)\u2192D=(9, 5). Perpendicular?", "im_path": "/images_full/task_12282_perp.png", "im_dots_path": "/images/task_12282_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12283, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, -2], "B": [7, -10], "C": [-9, -2], "D": [2, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-10, -2)\u2192B=(7, -10); CD C=(-9, -2)\u2192D=(2, -1). Perpendicular?", "im_path": "/images_full/task_12283_perp.png", "im_dots_path": "/images/task_12283_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12284, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, 10], "B": [-4, 5], "C": [7, 5], "D": [12, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(7, 10)\u2192B=(-4, 5); CD C=(7, 5)\u2192D=(12, -6). Perpendicular?", "im_path": "/images_full/task_12284_perp.png", "im_dots_path": "/images/task_12284_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12285, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, -7], "B": [-5, 4], "C": [-1, -6], "D": [-12, -16]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(5, -7)\u2192B=(-5, 4); CD C=(-1, -6)\u2192D=(-12, -16). Perpendicular?", "im_path": "/images_full/task_12285_perp.png", "im_dots_path": "/images/task_12285_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12286, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, -5], "B": [-4, -3], "C": [-10, 6], "D": [2, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-4, -5)\u2192B=(-4, -3); CD C=(-10, 6)\u2192D=(2, -6). Perpendicular?", "im_path": "/images_full/task_12286_perp.png", "im_dots_path": "/images/task_12286_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12287, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, -4], "B": [-8, 10], "C": [3, -1], "D": [-11, -18]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(9, -4)\u2192B=(-8, 10); CD C=(3, -1)\u2192D=(-11, -18). Perpendicular?", "im_path": "/images_full/task_12287_perp.png", "im_dots_path": "/images/task_12287_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12288, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 6], "B": [4, 0], "C": [2, 7], "D": [8, 3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(8, 6)\u2192B=(4, 0); CD C=(2, 7)\u2192D=(8, 3). Perpendicular?", "im_path": "/images_full/task_12288_perp.png", "im_dots_path": "/images/task_12288_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12289, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, -5], "B": [8, 1], "C": [0, -10], "D": [-6, 2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-4, -5)\u2192B=(8, 1); CD C=(0, -10)\u2192D=(-6, 2). Perpendicular?", "im_path": "/images_full/task_12289_perp.png", "im_dots_path": "/images/task_12289_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12290, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, 1], "B": [10, 2], "C": [-6, 7], "D": [-7, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-10, 1)\u2192B=(10, 2); CD C=(-6, 7)\u2192D=(-7, -9). Perpendicular?", "im_path": "/images_full/task_12290_perp.png", "im_dots_path": "/images/task_12290_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12291, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -10], "B": [-5, -5], "C": [-9, -3], "D": [-14, -2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-6, -10)\u2192B=(-5, -5); CD C=(-9, -3)\u2192D=(-14, -2). Perpendicular?", "im_path": "/images_full/task_12291_perp.png", "im_dots_path": "/images/task_12291_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12292, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, -10], "B": [-8, -4], "C": [2, 7], "D": [0, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-7, -10)\u2192B=(-8, -4); CD C=(2, 7)\u2192D=(0, -8). Perpendicular?", "im_path": "/images_full/task_12292_perp.png", "im_dots_path": "/images/task_12292_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12293, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 1], "B": [-4, 0], "C": [0, 4], "D": [-10, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(9, 1)\u2192B=(-4, 0); CD C=(0, 4)\u2192D=(-10, 10). Perpendicular?", "im_path": "/images_full/task_12293_perp.png", "im_dots_path": "/images/task_12293_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12294, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, -5], "B": [3, -2], "C": [-9, -8], "D": [-8, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-2, -5)\u2192B=(3, -2); CD C=(-9, -8)\u2192D=(-8, -6). Perpendicular?", "im_path": "/images_full/task_12294_perp.png", "im_dots_path": "/images/task_12294_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12295, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, -7], "B": [9, 10], "C": [7, -4], "D": [-2, 6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(10, -7)\u2192B=(9, 10); CD C=(7, -4)\u2192D=(-2, 6). Perpendicular?", "im_path": "/images_full/task_12295_perp.png", "im_dots_path": "/images/task_12295_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12296, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, 8], "B": [-7, -2], "C": [-3, -10], "D": [5, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(7, 8)\u2192B=(-7, -2); CD C=(-3, -10)\u2192D=(5, 3). Perpendicular?", "im_path": "/images_full/task_12296_perp.png", "im_dots_path": "/images/task_12296_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12297, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, -2], "B": [0, 5], "C": [-5, 7], "D": [-12, 9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-2, -2)\u2192B=(0, 5); CD C=(-5, 7)\u2192D=(-12, 9). Perpendicular?", "im_path": "/images_full/task_12297_perp.png", "im_dots_path": "/images/task_12297_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12298, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, -10], "B": [-9, -9], "C": [-7, -4], "D": [-9, 9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(10, -10)\u2192B=(-9, -9); CD C=(-7, -4)\u2192D=(-9, 9). Perpendicular?", "im_path": "/images_full/task_12298_perp.png", "im_dots_path": "/images/task_12298_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12299, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -4], "B": [8, 2], "C": [-5, 10], "D": [9, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(0, -4)\u2192B=(8, 2); CD C=(-5, 10)\u2192D=(9, 10). Perpendicular?", "im_path": "/images_full/task_12299_perp.png", "im_dots_path": "/images/task_12299_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}