images images listlengths 1 1 | problem stringlengths 145 1.46k | answer stringclasses 340
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<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, the figure consists of a quadrilateral and a triangle. CDE is an equilateral triangle and ABCE is a square with an area of 1. What is the perimeter of p... | B | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, CDE is an equilateral triangle and ABCE is a square with an area of 1. What is the perimeter of polygon ABCDE?
Choices:
A.4
B.5
C.6
D.7
E.8 | B | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, area of ABCE is 1. What is the perimeter of polygon ABCDE?
Choices:
A.4
B.5
C.6
D.7
E.8 | B | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, CDE is an equilateral triangle and ABCE is a square with an area of 1. What is the perimeter of polygon ABCDE?
Choices:
A.4
B.5
C.6
D.7
E.8
| B | |
<image>According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | B | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In triangle ABC above, AB = AC,point E lies on line AB, point D lies on lien AC, E is the midpoint of line AB, and D is the midpoint of line AC. If AE = x and ED = 4, what i... | B | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, AB = AC, E is the midpoint of line AB, and D is the midpoint of line AC. If AE = x and ED = 4, what is length BC?
Choices:
A.6
B.8
C.2*x
D.4*x
E.4*x^2 | B | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above. If AE = x and ED = 4, what is length BC?
Choices:
A.6
B.8
C.2*x
D.4*x
E.4*x^2 | B | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In triangle ABC above, AB = AC, E is the midpoint of line AB, and D is the midpoint of line AC. If AE = x, what is length BC?
Choices:
A.6
B.8
C.2*x
D.4*x
E.4*x^2
| B | |
<image>According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | B | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: The degrees of each angle are shown in the figure, two of the angles are the same and both are x. If x = 20 and y = 30 in the figure above, what is the value of z?
Choices:
... | B | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: If x = 20 and y = 30 in the figure above, what is the value of z?
Choices:
A.60
B.70
C.80
D.90
E.100 | B | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: If x = 20 and y = 30 in the figure above, what is the value of z?
Choices:
A.60
B.70
C.80
D.90
E.100 | B | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: What is the value of z?
Choices:
A.60
B.70
C.80
D.90
E.100
| B | |
<image>According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | B | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Point O is the center of both circles in the figure above. If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the lar... | D | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?
Choices:... | D | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: If the circumference of the large circle is 36, what is the length of the darkened arc?
Choices:
A.10
B.8
C.6
D.4
E.2 | D | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?
Choices:... | D | |
<image>According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | D | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, a shaded polygon which has equal sides and equal angles is partially covered with a sheet of blank paper, only one quadrilateral is showing. If x + y = ... | B | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, a shaded polygon which has equal sides and equal angles is partially covered with a sheet of blank paper. If x + y = 80, how many sides does the polygon... | B | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, a shaded polygon which has equal sides is partially covered with a sheet of blank paper. If x + y = 80, how many sides does the polygon have?
Choices:
A... | B | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, a shaded polygon which has equal sides and equal angles is partially covered with a sheet of blank paper. If x + y = 80, how many sides does the polygon... | B | |
<image>According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | B | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, P, Q, and R lie on the same line. P is the center of the larger circle, and Q is the center of the smaller circle. If the radius of the larger circle is... | B | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above. If the radius of the larger circle is 4, what is the radius of the smaller circle?
Choices:
A.1
B.2
C.4
D.8
E.16 | B | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above. If the radius of the larger circle is 4, what is the radius of the smaller circle?
Choices:
A.1
B.2
C.4
D.8
E.16 | B | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above. What is the radius of the smaller circle?
Choices:
A.1
B.2
C.4
D.8
E.16
| B | |
<image>According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | B | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, the smaller circles each have radius 3. They are tangent to the larger circle at points A and C, and are tangent to each other at point B, which is the ... | D | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, the smaller circles each have radius 3. They are tangent to the larger circle at points A and C, and are tangent to each other at point B. What is the p... | D | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, the smaller circles each have radius 3. What is the perimeter of the shaded region?
Choices:
A.6*\pi
B.8*\pi
C.9*\pi
D.12*\pi
E.15*\pi | D | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, the smaller circles are tangent to the larger circle at points A and C, and are tangent to each other at point B. What is the perimeter of the shaded re... | D | |
<image>According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | D | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the diagram above, There are two triangles ABC an BDE, where BE is on AB. Angle A is congruent to angle BED, and angle C is congruent to angle D. If the ratio of the leng... | D | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the diagram above, angle A is congruent to angle BED, and angle C is congruent to angle D. If the ratio of the length of AB to the length of EB is 5:1, and the area of th... | D | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: If the ratio of the length of AB to the length of EB is 5:1, and the area of the triangle BED is 5*a^2 + 10, what is the area of triangle ABC?
Choices:
A.5*a^2 + 10
B.25*a^2... | D | |
<image>Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the diagram above, angle A is congruent to angle BED, and angle C is congruent to angle D. If the ratio of the length of AB to the length of EB is 5:1, and the area of th... | D | |
<image>According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | D |
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