sample_index stringlengths 1 4 | problem_index stringclasses 788 values | problem_version stringclasses 5 values | question stringlengths 0 1.31k | image imagewidth (px) 63 6.84k | answer stringclasses 340 values | question_type stringclasses 2 values | metadata dict | query_wo stringlengths 101 1.41k | query_cot stringlengths 138 1.45k | question_for_eval stringlengths 7 1.31k |
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3901 | 781 | Text Dominant | 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 polygon ABCDE?
Choices:
A.4
B.5
C.6
D.7
E.8 | B | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 polygon ABCDE?
Choices:
A.4
B.5
C.6
D.7
E.8 | 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 polygon ABCDE?
Choices:
A.4
B.5
C.6
D.7
E.8 | 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 polygon ABCDE?
Choices:
A.4
B.5
C.6
D.7
E.8 | |
3902 | 781 | Text Lite | 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 | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 | 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 | 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 | |
3903 | 781 | Vision Intensive | 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 | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 | 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 | 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 | |
3904 | 781 | Vision Dominant | 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 | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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
| 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
| 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
| |
3905 | 781 | Vision Only | B | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | 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. | 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
| ||
3906 | 782 | Text Dominant | 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 is length BC?
Choices:
A.6
B.8
C.2*x
D.4*x
E.4*x^2 | B | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 is length BC?
Choices:
A.6
B.8
C.2*x
D.4*x
E.4*x^2 | 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 is length BC?
Choices:
A.6
B.8
C.2*x
D.4*x
E.4*x^2 | 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 is length BC?
Choices:
A.6
B.8
C.2*x
D.4*x
E.4*x^2 | |
3907 | 782 | Text Lite | 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 | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 | 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 | 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 | |
3908 | 782 | Vision Intensive | 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 | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 | 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 | 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 | |
3909 | 782 | Vision Dominant | 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 | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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
| 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
| 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
| |
3910 | 782 | Vision Only | B | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | 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. | 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
| ||
3911 | 783 | Text Dominant | 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:
A.60
B.70
C.80
D.90
E.100 | B | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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:
A.60
B.70
C.80
D.90
E.100 | 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:
A.60
B.70
C.80
D.90
E.100 | 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:
A.60
B.70
C.80
D.90
E.100 | |
3912 | 783 | Text Lite | 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 | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 | 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 | 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 | |
3913 | 783 | Vision Intensive | 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 | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 | 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 | 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 | |
3914 | 783 | Vision Dominant | What is the value of z?
Choices:
A.60
B.70
C.80
D.90
E.100
| B | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: What is the value of z?
Choices:
A.60
B.70
C.80
D.90
E.100
| 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
| What is the value of z?
Choices:
A.60
B.70
C.80
D.90
E.100
| |
3915 | 783 | Vision Only | B | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | 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. | What is the value of z?
Choices:
A.60
B.70
C.80
D.90
E.100
| ||
3916 | 784 | Text Dominant | 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 large circle, what is the length of the darkened arc?
Choices:
A.10
B.8
C.6
D.4
E.2 | D | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 large circle, what is the length of the darkened arc?
Choices:
A.10
B.8
C.6
D.4
E.2 | 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 large circle, what is the length of the darkened arc?
Choices:
A.10
B.8
C.6
D.4
E.2 | 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 large circle, what is the length of the darkened arc?
Choices:
A.10
B.8
C.6
D.4
E.2 | |
3917 | 784 | Text Lite | 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:
A.10
B.8
C.6
D.4
E.2 | D | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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:
A.10
B.8
C.6
D.4
E.2 | 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:
A.10
B.8
C.6
D.4
E.2 | 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:
A.10
B.8
C.6
D.4
E.2 | |
3918 | 784 | Vision Intensive | 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 | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 | 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 | 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 | |
3919 | 784 | Vision Dominant | 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:
A.10
B.8
C.6
D.4
E.2
| D | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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:
A.10
B.8
C.6
D.4
E.2
| 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:
A.10
B.8
C.6
D.4
E.2
| 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:
A.10
B.8
C.6
D.4
E.2
| |
3920 | 784 | Vision Only | D | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | 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. | 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:
A.10
B.8
C.6
D.4
E.2
| ||
3921 | 785 | Text Dominant | 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 = 80, how many sides does the polygon have?
Choices:
A.Ten
B.Nine
C.Eight
D.Seven
E.Six | B | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Applied"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 = 80, how many sides does the polygon have?
Choices:
A.Ten
B.Nine
C.Eight
D.Seven
E.Six | 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 = 80, how many sides does the polygon have?
Choices:
A.Ten
B.Nine
C.Eight
D.Seven
E.Six | 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 = 80, how many sides does the polygon have?
Choices:
A.Ten
B.Nine
C.Eight
D.Seven
E.Six | |
3922 | 785 | Text Lite | 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 have?
Choices:
A.Ten
B.Nine
C.Eight
D.Seven
E.Six | B | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Applied"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 have?
Choices:
A.Ten
B.Nine
C.Eight
D.Seven
E.Six | 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 have?
Choices:
A.Ten
B.Nine
C.Eight
D.Seven
E.Six | 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 have?
Choices:
A.Ten
B.Nine
C.Eight
D.Seven
E.Six | |
3923 | 785 | Vision Intensive | 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.Ten
B.Nine
C.Eight
D.Seven
E.Six | B | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Applied"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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.Ten
B.Nine
C.Eight
D.Seven
E.Six | 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.Ten
B.Nine
C.Eight
D.Seven
E.Six | 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.Ten
B.Nine
C.Eight
D.Seven
E.Six | |
3924 | 785 | Vision Dominant | 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 have?
Choices:
A.Ten
B.Nine
C.Eight
D.Seven
E.Six
| B | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Applied"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 have?
Choices:
A.Ten
B.Nine
C.Eight
D.Seven
E.Six
| 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 have?
Choices:
A.Ten
B.Nine
C.Eight
D.Seven
E.Six
| 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 have?
Choices:
A.Ten
B.Nine
C.Eight
D.Seven
E.Six
| |
3925 | 785 | Vision Only | B | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Applied"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | 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. | 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 have?
Choices:
A.Ten
B.Nine
C.Eight
D.Seven
E.Six
| ||
3926 | 786 | Text Dominant | 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 4, what is the radius of the smaller circle?
Choices:
A.1
B.2
C.4
D.8
E.16 | B | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 4, what is the radius of the smaller circle?
Choices:
A.1
B.2
C.4
D.8
E.16 | 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 4, what is the radius of the smaller circle?
Choices:
A.1
B.2
C.4
D.8
E.16 | 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 4, what is the radius of the smaller circle?
Choices:
A.1
B.2
C.4
D.8
E.16 | |
3927 | 786 | Text Lite | 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 | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 | 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 | 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 | |
3928 | 786 | Vision Intensive | 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 | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 | 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 | 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 | |
3929 | 786 | Vision Dominant | In the figure above. What is the radius of the smaller circle?
Choices:
A.1
B.2
C.4
D.8
E.16
| B | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure above. What is the radius of the smaller circle?
Choices:
A.1
B.2
C.4
D.8
E.16
| 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
| In the figure above. What is the radius of the smaller circle?
Choices:
A.1
B.2
C.4
D.8
E.16
| |
3930 | 786 | Vision Only | B | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | 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. | In the figure above. What is the radius of the smaller circle?
Choices:
A.1
B.2
C.4
D.8
E.16
| ||
3931 | 787 | Text Dominant | 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 center of the larger circle. 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 | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 center of the larger circle. What is the perimeter of the shaded region?
Choices:
A.6*\pi
B.8*\pi
C.9*\pi
D.12*\pi
E.15*\pi | 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 center of the larger circle. What is the perimeter of the shaded region?
Choices:
A.6*\pi
B.8*\pi
C.9*\pi
D.12*\pi
E.15*\pi | 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 center of the larger circle. What is the perimeter of the shaded region?
Choices:
A.6*\pi
B.8*\pi
C.9*\pi
D.12*\pi
E.15*\pi | |
3932 | 787 | Text Lite | 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 perimeter of the shaded region?
Choices:
A.6*\pi
B.8*\pi
C.9*\pi
D.12*\pi
E.15*\pi | D | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 perimeter of the shaded region?
Choices:
A.6*\pi
B.8*\pi
C.9*\pi
D.12*\pi
E.15*\pi | 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 perimeter of the shaded region?
Choices:
A.6*\pi
B.8*\pi
C.9*\pi
D.12*\pi
E.15*\pi | 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 perimeter of the shaded region?
Choices:
A.6*\pi
B.8*\pi
C.9*\pi
D.12*\pi
E.15*\pi | |
3933 | 787 | Vision Intensive | 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 | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 | 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 | 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 | |
3934 | 787 | Vision Dominant | 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 region?
Choices:
A.6*\pi
B.8*\pi
C.9*\pi
D.12*\pi
E.15*\pi
| D | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 region?
Choices:
A.6*\pi
B.8*\pi
C.9*\pi
D.12*\pi
E.15*\pi
| 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 region?
Choices:
A.6*\pi
B.8*\pi
C.9*\pi
D.12*\pi
E.15*\pi
| 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 region?
Choices:
A.6*\pi
B.8*\pi
C.9*\pi
D.12*\pi
E.15*\pi
| |
3935 | 787 | Vision Only | D | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | 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. | 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 region?
Choices:
A.6*\pi
B.8*\pi
C.9*\pi
D.12*\pi
E.15*\pi
| ||
3936 | 788 | Text Dominant | 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 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 + 50
C.25*a^2 + 100
D.125*a^2 + 250
E.cannot be determined | D | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 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 + 50
C.25*a^2 + 100
D.125*a^2 + 250
E.cannot be determined | 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 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 + 50
C.25*a^2 + 100
D.125*a^2 + 250
E.cannot be determined | 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 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 + 50
C.25*a^2 + 100
D.125*a^2 + 250
E.cannot be determined | |
3937 | 788 | Text Lite | 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 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 + 50
C.25*a^2 + 100
D.125*a^2 + 250
E.cannot be determined | D | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 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 + 50
C.25*a^2 + 100
D.125*a^2 + 250
E.cannot be determined | 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 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 + 50
C.25*a^2 + 100
D.125*a^2 + 250
E.cannot be determined | 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 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 + 50
C.25*a^2 + 100
D.125*a^2 + 250
E.cannot be determined | |
3938 | 788 | Vision Intensive | 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 + 50
C.25*a^2 + 100
D.125*a^2 + 250
E.cannot be determined | D | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 + 50
C.25*a^2 + 100
D.125*a^2 + 250
E.cannot be determined | 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 + 50
C.25*a^2 + 100
D.125*a^2 + 250
E.cannot be determined | 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 + 50
C.25*a^2 + 100
D.125*a^2 + 250
E.cannot be determined | |
3939 | 788 | Vision Dominant | 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 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 + 50
C.25*a^2 + 100
D.125*a^2 + 250
E.cannot be determined
| D | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
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 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 + 50
C.25*a^2 + 100
D.125*a^2 + 250
E.cannot be determined
| 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 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 + 50
C.25*a^2 + 100
D.125*a^2 + 250
E.cannot be determined
| 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 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 + 50
C.25*a^2 + 100
D.125*a^2 + 250
E.cannot be determined
| |
3940 | 788 | Vision Only | D | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Area"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | 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. | 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 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 + 50
C.25*a^2 + 100
D.125*a^2 + 250
E.cannot be determined
|
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