| # | images | texts | source | formatting_ratings | formatting_min | visual_dependency_ratings | visual_dependency_min | image_correspondence_ratings | image_correspondence_min | relevance_ratings | relevance_min |
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[
{
"user": "<image>\nDescribe what you see in the figure.",
"assistant": "The diagram consists of a triangle ABC. Line segment ED is drawn perpendicular to BC and bisects it. Point D is the intersection of ED and BC, while point E is the intersection of ED and AB. Line segment EC is equal in length to line segment EB, and line segment BC is twice the length of line segment BD. The perimeter of triangle AEC is given as 20."
}
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4
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5
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5
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[
{
"user": "<image>\nIllustrate the components visible in the figure.",
"assistant": "In the given diagram, we can see two parallel lines labeled DE and BC. Point B is connected to points E and C."
}
]
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visualwebinstruct(filtered)
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4
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4
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[
5
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5
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[
5
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[
3
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3
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3
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"user": "<image>\nFirst perform reasoning, then finally select the question from the choices in the following format: Answer: xxx.\nQuestion: In the given figure, points A and B are separated by a pond. Point C is chosen outside AB to connect AC and BC. The midpoints of AC and DC are marked as D and E respectively, and they are connected to form DE. If DE measures 40.0, what is the distance between A and B?\nChoices:\nA: 20.0\nB: 30.0\nC: 40.0\nD: 50.0",
"assistant": "Since D and E are the midpoints of AC and DC respectively, we have AB = 2DE = 80m. Therefore, the distance between A and B is 80 units. Therefore, the correct answer is C.\nAnswer:C"
}
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"user": "<image>\nFirst perform reasoning, then finally select the question from the choices in the following format: Answer: xxx.\nQuestion: In triangle ABC, as depicted in the figure, DE is parallel to AC. Given that the ratio of BD to DA is 1:2 and DE measures 3, what is the length of AC? \nChoices:\nA: 3\nB: 4\nC: 6\nD: 9",
"assistant": "Solution: Given that $frac {BD}{DA}=frac {1}{2}$, it follows that $frac {DB}{AB}=frac {1}{3}$. Also, since $DE\\parallel AC$, we have $\\triangle BDE\\sim \\triangle BAC$. Hence, $frac {ED}{AC}=frac {BD}{BA}$, which implies $frac {3}{AC}=frac {1}{3}$. Solving for $AC$, we get $AC=9$. Therefore, the answer is D.\nAnswer:D"
}
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[
{
"user": "<image>\nPoint out the elements visible in the diagram.",
"assistant": "The diagram depicts a circle denoted as circle O. There are two points on the circumference of this circle, labeled as A and B. Additionally, there is another point, C, on the circumference, distinct from points A and B. One side of a chord, AC, is formed between points A and C. Another line, EF, is drawn and intersects AB at point F, creating a right angle with AB."
}
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"user": "<image>\nFirst perform reasoning, then finally select the question from the choices in the following format: Answer: xxx.\nQuestion: In parallelogram ABCD, given that EF is parallel to AB, DE:DA is 2:u, and EF is 4 units long, what is the length of CD?\nChoices:\nA: 7.0\nB: 11.0\nC: 5.0\nD: 22.0",
"assistant": "Given that the length of CD is 10, and EF is parallel to AB, we can use the property of similar triangles to find the value of the unknown variable u. Since triangle DEF is similar to triangle DAB, we know that DE/DA = EF/AB. Substituting the given values, we have 2/u = 4/10. Cross-multiplying and solving for u, we get u = 20. Therefore, the value of the unknown variable u is 20. Therefore, the answer is option C.\nAnswer:C"
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"user": "<image>\nFirst perform reasoning, then finally select the question from the choices in the following format: Answer: xxx.\nQuestion: Circle O is depicted in the diagram, with lines PA and PB intersecting it at points A and B, respectively. Line CD intersects circle O at point E and intersects lines PA and PB at points C and D. If the length of PA is 12, what is the measurement of the perimeter of triangle PCD?\nChoices:\nA: 12\nB: 18\nC: 24\nD: 30",
"assistant": "Since PA and PB intersect at points A and B respectively on circle O, and CD intersects circle O at point E, therefore PA = PB = 12, AC = EC, BD = ED, thus PC+CD+PD = PC+CE+DE+PD = PA+AC+PD+BD = PA+PB = 12+12 = 24, so the perimeter of triangle PCD is 24. Therefore the correct answer is: C.\nAnswer:C"
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"user": "<image>\nFirst perform reasoning, then finally select the question from the choices in the following format: Answer: xxx.\nQuestion: In a scenario where trees are planted along a hilledge with an incline angle represented by '\u03b1' degrees and a horizontal spacing 'x' units between two adjacent trees, express the slope distance 'y' units between the trees as a function of '\u03b1' and 'x'.\nChoices:\nA: \\frac{4}{3}\u221a{3}\nB: \\frac{2}{3}\u221a{3}\nC: 1\nD: 4",
"assistant": "To obtain the slope distance 'y' between the trees, we utilize the right-angled triangle and trigonometric relations. Applying the equation for the cosine of the angle '\u03b1', cos(\u03b1) = x/y, we solve for 'y' to get y = x/cos(\u03b1). Substituting the given values, we find y = 2/(cos(30\u00b0)) = 2/(\u221a3/2) = 4/(3\u221a3) units. Thus, the slope distance between the trees is 4/(3\u221a3) units. Therefore, the answer is option A.\nAnswer:A"
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"user": "<image>\nFirst perform reasoning, then finally select the question from the choices in the following format: Answer: xxx.\nQuestion: If the perimeter of parallelogram ABCD is 16.0 and the intersection point of AC and BD is labeled as O, with OE being the perpendicular to AC and intersecting AD at point E, what is the perimeter of triangle DCE, as depicted in the figure?\nChoices:\nA: 4cm\nB: 6cm\nC: 8cm\nD: 10cm",
"assistant": "Solution: since Quadrilateral ABCD is a parallelogram, therefore, AD=BC, AB=CD, OA=OC. since The perimeter of quadrilateral ABCD is 16cm, therefore, AD+CD=8cm. since OA=OC, OEperpendicular AC, therefore, EC=AE. therefore, The perimeter of triangle DCE is DE+EC+CD=DE+AE+CD=AD+CD=8(cm)\uff0eTherefore, the correct option is C.\nAnswer:C"
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[
{
"user": "<image>\nSummarize the features presented in the diagram.",
"assistant": "In this diagram, there are two rulers, one of which is a 45\u00b0 angle ruler. The rulers are arranged in a way that results in an angle \u03b1 between a line segment and the 45\u00b0 angle ruler. The vertex of angle \u03b1 is located at point E. Point B is positioned on the 45\u00b0 angle ruler, while point C lies on the line segment. Another angle, \u03b2, is formed between the line segment and the 45\u00b0 angle ruler. Point A is connected to points B and C. Additionally, there is a parallel line labeled CD that runs parallel to line AB."
}
]
|
visualwebinstruct(filtered)
|
[
4
]
|
4
|
[
5
]
|
5
|
[
5
]
|
5
|
[
4
]
|
4
|