id string | image image | conversations list | regions string | image_size list | num_tokens int64 |
|---|---|---|---|---|---|
1178 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, PA and PB are the tangents of circle O, and the point C is on circle O. If angle P = 50.0, then angle ACB is equal to ()\nChoices:\nA... | {"<|obj1|>":[7,35,14,70],"<|obj2|>":[77,14,161,98],"<|obj3|>":[133,35,161,70],"<|obj4|>":[0,42,63,111],"<|obj5|>":[91,0,167,105],"<|obj6|>":[49,28,84,111],"<|obj7|>":[63,0,98,42]} | [
168,
112
] | 2,605 | |
921 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the final answer at the end.\nQuestion: Summarize the features presented in the diagram..\nPlease answer the question using a long-chain reasoning style and think step by step."
},
{
"from": "gpt",
"value": "So I'... | {"<|obj1|>":[0,0,83,83],"<|obj2|>":[0,0,83,83],"<|obj3|>":[0,7,81,81],"<|obj4|>":[0,0,81,81]} | [
84,
84
] | 2,443 | |
11534 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the diagram, ABparallel CD, angle AEC = 50°, and CB bisects angle DCE. The degree measure of angle ABC is ().\nChoices:\nA: 25°\nB: 30°\nC: 35°\n... | {"<|obj1|>":[94,0,137,83],"<|obj2|>":[168,63,210,83],"<|obj3|>":[52,0,251,74],"<|obj4|>":[94,0,242,74],"<|obj5|>":[94,0,137,83]} | [
252,
84
] | 1,785 | |
1872 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the final answer at the end.\nQuestion: Portray the details depicted in the figure..\nPlease answer the question using a long-chain reasoning style and think step by step."
},
{
"from": "gpt",
"value": "Let's see ... | {"<|obj1|>":[0,0,223,27],"<|obj2|>":[18,0,168,27],"<|obj3|>":[28,0,84,27],"<|obj4|>":[65,0,223,27]} | [
224,
28
] | 1,805 | |
1925 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Xiao Ming is aiming to enhance awareness of vision protection by making a small visual acuity chart with a test distance of 3.0, based on the large visual ac... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[0,0,167,83],"<|obj3|>":[0,0,35,42]} | [
168,
84
] | 1,916 | |
1630 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given figure, the perimeter of diamond ABCD is 48 cm. Diagonals AC and BD intersect at point O. E is the midpoint of AD. If we connect OE, what is the... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[5,11,139,78],"<|obj3|>":[5,17,139,78],"<|obj4|>":[52,29,76,66],"<|obj5|>":[70,0,100,42]} | [
140,
84
] | 2,434 | |
877 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In parallelogram ABCD, given that AC is 12 units long. If the perimeter of triangle ABC is 44 units, then what is the perimeter of the parallelogram?\nChoice... | {"<|obj1|>":[14,7,167,83],"<|obj2|>":[14,21,161,83],"<|obj3|>":[14,21,98,70]} | [
168,
84
] | 1,756 | |
1633 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the provided figure, rhombus ABCD has diagonals AC and BD that intersect at point O. If the perimeter of the rhombus is 20 units and the length of BD is k... | {"<|obj1|>":[11,0,139,95],"<|obj2|>":[0,0,139,111],"<|obj3|>":[0,29,135,101],"<|obj4|>":[64,38,135,109],"<|obj5|>":[0,0,139,111],"<|obj6|>":[39,5,124,90]} | [
140,
112
] | 2,088 | |
1161 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the diagram, the diagonals AC and BD of diamond ABCD intersect at point O. A line perpendicular to BC is drawn from point A, intersecting BC at p... | {"<|obj1|>":[0,0,195,64],"<|obj2|>":[40,0,188,64],"<|obj3|>":[49,0,195,96],"<|obj4|>":[89,47,123,72],"<|obj5|>":[40,0,82,96],"<|obj6|>":[49,87,82,111]} | [
196,
112
] | 2,968 | |
1457 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the diagram shown, if point AB intersects point CD at point O and angle AOE and angle AOC are complementary angles with angle AOE measuring 20°, what is t... | {"<|obj1|>":[5,0,139,139],"<|obj2|>":[0,64,30,88],"<|obj3|>":[0,0,139,139],"<|obj4|>":[0,0,139,139]} | [
140,
140
] | 1,709 | |
985 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, points D and E lie on sides AB and AC respectively, forming a parallel line to side BC. Given that AD = 0.5 × DB and the area of triangle AD... | {"<|obj1|>":[70,15,139,86],"<|obj2|>":[29,35,65,95],"<|obj3|>":[99,5,129,106]} | [
140,
112
] | 1,793 | |
359 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the diamond-shaped figure ABCD, the diagonals AC and BD intersect at point O. Given that BD measures 6 units and AC measures 8 units, what is the perimete... | {"<|obj1|>":[0,0,103,83],"<|obj2|>":[0,9,108,83],"<|obj3|>":[23,4,108,52],"<|obj4|>":[23,9,111,80],"<|obj5|>":[0,0,111,83]} | [
112,
84
] | 1,420 | |
1079 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given diagram, quadrilateral ABCD is a rhombus. The length of diagonal AC is represented by the variable 'x' (x = 8cm) and the length of diagonal BD i... | {"<|obj1|>":[14,0,167,83],"<|obj2|>":[49,14,77,83],"<|obj3|>":[0,42,63,83],"<|obj4|>":[0,0,77,83],"<|obj5|>":[0,0,167,83],"<|obj6|>":[67,0,167,83],"<|obj7|>":[0,42,42,70],"<|obj8|>":[119,7,167,83],"<|obj9|>":[49,21,126,83],"<|obj10|>":[21,0,147,56],"<|obj11|>":[21,21,98,83]} | [
168,
84
] | 2,231 | |
833 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If lines a and b intersect at point O in the given diagram, and the sum of angle 1 and angle 2 is 100°, what is the measure of angle 3?\nChoices:\nA: 50°\nB:... | {"<|obj1|>":[7,16,32,49],"<|obj2|>":[56,0,96,49],"<|obj3|>":[15,49,111,195],"<|obj4|>":[15,0,111,195],"<|obj5|>":[14,98,111,195],"<|obj6|>":[47,57,111,195]} | [
112,
196
] | 7,010 | |
1388 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, circle O has diameter AB. If angle AOC is 130 degrees, what is the degree measure of angle D?\nChoices:\nA: 20°\nB: 25°\nC: 40°\nD: 5... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[0,42,111,103],"<|obj3|>":[28,70,56,111],"<|obj4|>":[0,0,103,111]} | [
112,
112
] | 1,945 | |
1559 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given figure, it is known that AB is the string of circle O, OC is perpendicular to AB, and the foot of the perpendicular is C. If OA = 20.0, AB = 32.... | {"<|obj1|>":[0,4,111,70],"<|obj2|>":[46,28,66,66],"<|obj3|>":[0,0,111,111],"<|obj4|>":[46,28,66,89],"<|obj5|>":[9,0,111,103],"<|obj6|>":[4,4,111,111]} | [
112,
112
] | 2,493 | |
1557 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As depicted in the figure, AB is parallel to CD. EF intersects AB at point G and CD at point H. If the measure of angle AGE is 100°, what is the degree measu... | {"<|obj1|>":[84,21,167,105],"<|obj2|>":[28,91,49,111],"<|obj3|>":[35,0,161,111],"<|obj4|>":[63,28,147,111],"<|obj5|>":[49,70,84,91],"<|obj6|>":[56,0,167,111],"<|obj7|>":[28,0,161,105],"<|obj8|>":[28,0,154,105],"<|obj9|>":[56,7,147,98]} | [
168,
112
] | 3,234 | |
1221 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If in the parallelogram ABCD, demonstrated in the diagram, point E is marked as the midpoint of side AB and the diagonal DE intersects the diagonal AC at poi... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[0,0,139,83],"<|obj3|>":[5,0,139,72],"<|obj4|>":[35,23,59,78],"<|obj5|>":[10,0,95,83],"<|obj6|>":[11,0,139,72]} | [
140,
84
] | 3,100 | |
240 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, given that DE is parallel to BC, and the ratio of AD to DB is 3:2, and DE is 3 units long, what is the length of BC?\nChoices:\nA: 5.0\nB: 5... | {"<|obj1|>":[4,0,111,83],"<|obj2|>":[9,23,84,47],"<|obj3|>":[9,70,24,80],"<|obj4|>":[9,28,24,80],"<|obj5|>":[70,23,84,47]} | [
112,
84
] | 1,400 | |
1049 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As depicted in the figure, line PQ runs parallel to line MN, with point C lying on line MN. Line segment CE intersects line PQ at point A, and line segment C... | {"<|obj1|>":[171,39,195,72],"<|obj2|>":[0,79,195,111],"<|obj3|>":[81,79,107,111],"<|obj4|>":[0,0,195,111],"<|obj5|>":[89,0,164,96],"<|obj6|>":[49,23,74,56],"<|obj7|>":[114,23,139,56],"<|obj8|>":[0,0,172,111],"<|obj9|>":[73,0,172,88]} | [
196,
112
] | 2,957 | |
1784 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given figure, circle O circumscribes triangle ABC. If angle OCB measures 40.0 degrees, then what is the measure of angle A in degrees? Let's represent... | {"<|obj1|>":[0,7,81,81],"<|obj2|>":[0,0,77,77],"<|obj3|>":[31,0,77,63],"<|obj4|>":[21,0,77,63],"<|obj5|>":[7,0,81,83],"<|obj6|>":[38,7,81,49]} | [
84,
84
] | 1,686 | |
303 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown, in triangle ABC, AD is the median on BC, BE is the median on AD in triangle ABD. If the area of triangle ABC is 20, the area of triangle ABE is ().... | {"<|obj1|>":[49,7,180,88],"<|obj2|>":[81,14,180,111],"<|obj3|>":[8,47,131,104],"<|obj4|>":[40,15,139,88],"<|obj5|>":[40,7,195,96],"<|obj6|>":[81,79,107,111],"<|obj7|>":[106,31,131,72]} | [
196,
112
] | 2,521 | |
171 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Angle AOC is measured at 72 degrees in the given figure, where points A, B, and C lie on the circumference of circle O. What is the measure of angle ABC?\nCh... | {"<|obj1|>":[14,0,167,139],"<|obj2|>":[56,14,77,35],"<|obj3|>":[14,49,35,70],"<|obj4|>":[126,21,161,56],"<|obj5|>":[21,0,167,139],"<|obj6|>":[7,0,167,133],"<|obj7|>":[14,0,167,139],"<|obj8|>":[21,0,119,119],"<|obj9|>":[35,21,154,139]} | [
168,
140
] | 2,492 | |
1470 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, in triangle ABC, AC = 6cm, BC = 8cm, AB = 10cm. D, E, F are respectively the midpoints of AB, BC, and CA. The area of triangle DEF is... | {"<|obj1|>":[38,0,137,83],"<|obj2|>":[52,65,65,78],"<|obj3|>":[81,17,100,30],"<|obj4|>":[11,17,53,78],"<|obj5|>":[5,0,139,83],"<|obj6|>":[29,0,129,42]} | [
140,
84
] | 4,239 | |
479 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given figure, the length of the short arm of the railroad crossing railing is 4.0 and the length of the long arm is 48.0. When the end of the short ar... | {"<|obj1|>":[0,0,139,55],"<|obj2|>":[0,0,135,55],"<|obj3|>":[46,0,135,55],"<|obj4|>":[10,0,95,55]} | [
140,
56
] | 2,872 | |
1259 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In order to measure the distance between points A and B, a point C outside AB is selected and AC and BC are connected. The midpoints of AC and BC are E and F... | {"<|obj1|>":[52,0,111,18],"<|obj2|>":[122,65,135,78],"<|obj3|>":[0,59,65,83],"<|obj4|>":[29,17,70,83],"<|obj5|>":[46,65,65,83]} | [
140,
84
] | 3,854 | |
1132 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If the line DE is parallel to BF, with the vertex B of right triangle ABC located on BF, and angle CBF measures 20°, what is the size of angle ADE?\nChoices:... | {"<|obj1|>":[0,21,84,105],"<|obj2|>":[35,35,126,77],"<|obj3|>":[0,105,126,154],"<|obj4|>":[7,0,126,167],"<|obj5|>":[28,105,49,154],"<|obj6|>":[14,77,98,161]} | [
140,
168
] | 2,324 | |
1845 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, if angle A equals 30 degrees, what is the total degree of angle 1 plus angle 2?\nChoices:\nA: 210°\nB: 110°\nC: 150°\nD: 100°.\nPlease answe... | {"<|obj1|>":[0,56,75,103],"<|obj2|>":[18,56,75,103],"<|obj3|>":[84,0,223,94],"<|obj4|>":[130,18,223,111]} | [
224,
112
] | 3,966 | |
1073 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given diagram, triangle ABC is depicted with AB equal to AC. The altitude AD is drawn on BC, and point E serves as the midpoint of AC. By connecting D... | {"<|obj1|>":[0,0,167,167],"<|obj2|>":[63,7,98,42],"<|obj3|>":[98,63,147,105],"<|obj4|>":[98,7,167,167],"<|obj5|>":[77,63,147,154]} | [
168,
168
] | 2,584 | |
71 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, in triangle ABC, D and E are on edges AB and AC respectively, DE parallel BC, BD = 2.0 AD, if DE = 2.0, then BC = ()\nChoices:\nA: 3... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[0,23,28,111],"<|obj3|>":[51,0,111,108],"<|obj4|>":[28,28,89,52],"<|obj5|>":[4,88,14,103],"<|obj6|>":[28,28,98,89],"<|obj7|>":[0,32,94,111],"<|obj8|>":[0,0,111,111],"<|obj9|>":[4,0,111,111],"<|obj10|>":[4,0,108,111],"<|obj11|>":[14,0,103,111],"<|obj12|>":[9,0,111,111],"<|obj13|>":[7... | [
112,
112
] | 2,126 | |
326 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given that angle AOB equals 110 degrees and points A, B, and C are on circle O, what is the measure of angle ACB? \nChoices:\nA: 50°\nB: 55°\nC: 70°\nD: 110°... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[4,46,24,61],"<|obj3|>":[60,0,80,24],"<|obj4|>":[88,23,103,42],"<|obj5|>":[14,0,111,103],"<|obj6|>":[9,0,111,111]} | [
112,
112
] | 2,042 | |
1475 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given that the diameter AB of circle O is 10.0 and the chord AC is 6.0, what is the length BC?\nChoices:\nA: 6cm\nB: 8cm\nC: 10cm\nD: 2√{34}cm.\nPlease answe... | {"<|obj1|>":[4,4,111,111],"<|obj2|>":[0,42,108,111],"<|obj3|>":[0,32,108,66],"<|obj4|>":[0,32,66,66]} | [
112,
112
] | 2,894 | |
1515 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, points A, B, and P are points on O, if angle APB = 15.0, then angle AOB = ()\nChoices:\nA: 15°\nB: 20°\nC: 30°\nD: 45°.\nPlease answe... | {"<|obj1|>":[0,5,117,65],"<|obj2|>":[40,35,76,59],"<|obj3|>":[5,82,35,101],"<|obj4|>":[87,88,105,101],"<|obj5|>":[99,35,123,77],"<|obj6|>":[11,23,111,106],"<|obj7|>":[11,0,139,106]} | [
140,
112
] | 2,313 | |
99 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the diagram, an equilateral triangle paper ABC has a perimeter of 6. Trisecting points E and F lie on side BC. If cuts are made parallel to BA and CA thro... | {"<|obj1|>":[0,0,167,112],"<|obj2|>":[42,119,70,139],"<|obj3|>":[98,105,161,139],"<|obj4|>":[0,105,161,133],"<|obj5|>":[0,7,91,133],"<|obj6|>":[140,105,161,133],"<|obj7|>":[70,70,105,126]} | [
168,
140
] | 3,862 | |
51 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Xiao Ming created a conical funnel model with a bottom radius of 6.0 units and a height of 8.0 units. Determine the lateral area of this conical funnel and r... | {"<|obj1|>":[0,0,139,167],"<|obj2|>":[14,126,139,161],"<|obj3|>":[14,14,119,133],"<|obj4|>":[49,14,98,105]} | [
140,
168
] | 1,608 | |
401 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Points A, B, and C are on circle O, and angle AOB is measured at 72 degrees. What is the degree measure of angle ACB?\nChoices:\nA: 18°\nB: 30°\nC: 36°\nD: 7... | {"<|obj1|>":[0,0,98,103],"<|obj2|>":[18,84,94,111],"<|obj3|>":[84,88,94,103],"<|obj4|>":[88,14,103,38],"<|obj5|>":[9,9,108,111],"<|obj6|>":[4,4,108,111],"<|obj7|>":[14,14,98,111]} | [
112,
112
] | 1,763 | |
1126 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In a triangle LMN, if angle LMN measures 90.0° and angle L is 50.0°, what is the measure of angle N?\nChoices:\nA: 50°\nB: 40°\nC: 30°\nD: 45°.\nPlease answe... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[0,0,147,83],"<|obj3|>":[35,14,98,83],"<|obj4|>":[35,35,98,83]} | [
168,
84
] | 1,297 | |
6920 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the picture, quadrilateral ABCD is a diamond shape. Diagonals AC and BD intersect at point O. E is the midpoint of AD. If OE=3.5, then the perime... | {"<|obj1|>":[0,0,167,111],"<|obj2|>":[0,0,167,111],"<|obj3|>":[7,35,154,70],"<|obj4|>":[63,49,91,70],"<|obj5|>":[77,14,140,98],"<|obj6|>":[7,0,167,111]} | [
168,
112
] | 3,432 | |
1837 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Depicted in the figure, triangle ABC is a right-angled triangle with its right angle located at vertex C along line b. If the measure of angle 1 is 50 degree... | {"<|obj1|>":[4,0,94,111],"<|obj2|>":[0,70,61,111],"<|obj3|>":[88,70,98,80],"<|obj4|>":[84,42,98,52],"<|obj5|>":[9,0,98,111]} | [
112,
112
] | 2,270 | |
735 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given figure, triangle ADE is known to be similar to triangle ACB. If AB measures 10.0 units, AC measures 8.0 units, and AD measures 4.0 units, determ... | {"<|obj1|>":[11,0,139,139],"<|obj2|>":[11,58,82,129],"<|obj3|>":[0,58,70,129],"<|obj4|>":[87,11,139,135],"<|obj5|>":[17,0,135,135],"<|obj6|>":[75,35,123,135],"<|obj7|>":[40,35,105,65],"<|obj8|>":[5,105,18,123]} | [
140,
140
] | 2,119 | |
1081 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: What is the measure of angle BAC if angle BOC is 72.0 degrees and points A, B, and C are on circle O?\nChoices:\nA: 72°\nB: 36°\nC: 18°\nD: 54°.\nPlease answ... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[23,9,111,111],"<|obj3|>":[14,4,111,94]} | [
112,
112
] | 1,941 | |
1347 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given an inscribed circle O containing quadrilateral ABCD, where AB = AD and the measurement of angle C is 120.0 degrees, find the perimeter of triangle ABD ... | {"<|obj1|>":[0,11,111,139],"<|obj2|>":[35,29,106,135],"<|obj3|>":[0,11,111,139],"<|obj4|>":[17,11,111,129],"<|obj5|>":[11,11,111,135],"<|obj6|>":[11,11,111,135],"<|obj7|>":[41,105,65,129],"<|obj8|>":[38,11,109,82],"<|obj9|>":[35,11,101,59],"<|obj10|>":[0,11,111,139]} | [
112,
140
] | 4,160 | |
1485 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In parallelogram ABCD, with angle BAC measuring 90 degrees, AC measuring 6 units, and BD measuring 12 units, what is the length of side AB?\nChoices:\nA: 3√{... | {"<|obj1|>":[0,0,279,111],"<|obj2|>":[23,0,105,67],"<|obj3|>":[46,0,269,90],"<|obj4|>":[46,0,279,90],"<|obj5|>":[116,44,152,79],"<|obj6|>":[11,0,152,111]} | [
280,
112
] | 3,148 | |
1732 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given a conical funnel model made by Xiao Ming, with the bottom radius represented by 'r' units (r = 6.0) and height by 'h' units (h = 8.0), what is the late... | {"<|obj1|>":[0,0,133,133],"<|obj2|>":[0,126,139,161],"<|obj3|>":[35,14,119,98]} | [
140,
168
] | 2,342 | |
837 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, the point D is on the edge AB, BD is twice the length of AD, DE is parallel to BC, and it intersects AC at the point E. If the length of DE ... | {"<|obj1|>":[0,0,108,111],"<|obj2|>":[0,0,75,111],"<|obj3|>":[0,4,111,108],"<|obj4|>":[28,28,103,84],"<|obj5|>":[70,28,103,52],"<|obj6|>":[4,79,14,108],"<|obj7|>":[4,0,111,111]} | [
112,
112
] | 2,594 | |
251 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Consider the figure, which shows triangle ABC. D and E are the midpoints of sides AB and AC respectively. If DE is equal to 4 units, what is the value of BC?... | {"<|obj1|>":[0,0,147,133],"<|obj2|>":[7,7,91,91],"<|obj3|>":[133,63,147,91],"<|obj4|>":[35,63,147,91],"<|obj5|>":[14,112,154,139]} | [
168,
140
] | 2,696 | |
1606 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, PA is tangent to circle O at A, the radius of circle O is 3.0, OP = 5.0, then the length of the tangent PA is ()\nChoices:\nA: 6\nB: ... | {"<|obj1|>":[77,14,167,70],"<|obj2|>":[0,7,70,111],"<|obj3|>":[70,7,105,35],"<|obj4|>":[42,0,147,98],"<|obj5|>":[70,0,147,105],"<|obj6|>":[21,0,167,111],"<|obj7|>":[91,21,167,111]} | [
168,
112
] | 2,370 | |
1756 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, D and F are on the edge of AB, E and G are on the edge of AC, DE parallel FG parallel BC, and AD:DF:FB = 1.5:1.0:0.5. If AG = 7.5, what is t... | {"<|obj1|>":[11,0,101,135],"<|obj2|>":[32,23,103,94],"<|obj3|>":[88,35,101,65],"<|obj4|>":[5,81,36,135],"<|obj5|>":[88,35,101,105],"<|obj6|>":[29,35,101,70],"<|obj7|>":[11,87,101,105],"<|obj8|>":[88,122,101,139],"<|obj9|>":[88,35,101,105]} | [
112,
140
] | 3,018 | |
369 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the provided figure of triangle ABC, where the measure of angle C is 90.0 degrees and the measure of angle A is 30.0 degrees, if the bisector of angle ABC... | {"<|obj1|>":[8,8,66,76],"<|obj2|>":[89,0,195,76],"<|obj3|>":[8,0,195,83],"<|obj4|>":[49,8,195,83],"<|obj5|>":[89,0,180,76],"<|obj6|>":[40,0,195,83],"<|obj7|>":[8,0,131,83],"<|obj8|>":[57,16,115,51]} | [
196,
84
] | 2,753 | |
1779 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Triangle ABE and triangle ACD, as shown in the diagram, are congruent to each other. With angle A measuring 65 degrees and angle C measuring 25 degrees, how ... | {"<|obj1|>":[3,0,83,83],"<|obj2|>":[3,3,81,83],"<|obj3|>":[17,3,81,83],"<|obj4|>":[7,3,83,83],"<|obj5|>":[28,52,83,83],"<|obj6|>":[3,38,83,77],"<|obj7|>":[7,0,83,83],"<|obj8|>":[7,0,83,83]} | [
84,
84
] | 1,777 | |
5259 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, point D and point E are the midpoints of AB and AC respectively, and DE=3. The distance between B and C is ().\nChoices:\nA: 3\nB: 6\... | {"<|obj1|>":[114,8,139,25],"<|obj2|>":[147,107,172,124],"<|obj3|>":[0,0,82,132],"<|obj4|>":[16,41,98,124],"<|obj5|>":[65,98,98,124],"<|obj6|>":[40,41,98,124],"<|obj7|>":[0,16,74,132]} | [
196,
140
] | 3,003 | |
283 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, let D and E lie on sides AB and AC, respectively, such that DE is parallel to BC. If AD/AB = 2/3 and AC = 6.0, what is the length of AE? Rep... | {"<|obj1|>":[4,0,89,108],"<|obj2|>":[14,46,28,66],"<|obj3|>":[84,46,111,66],"<|obj4|>":[14,46,98,80],"<|obj5|>":[9,84,24,103]} | [
112,
112
] | 1,837 | |
1719 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If circle O is the circumscribed circle of triangle ABC, and the measure of angle B is 'p' degrees, what is the measure of angle OAC represented by 'q' degre... | {"<|obj1|>":[0,0,108,98],"<|obj2|>":[0,9,42,103],"<|obj3|>":[18,9,94,108],"<|obj4|>":[88,9,98,33],"<|obj5|>":[13,31,81,99],"<|obj6|>":[9,4,94,89],"<|obj7|>":[14,4,89,89],"<|obj8|>":[9,4,111,111],"<|obj9|>":[14,4,98,108]} | [
112,
112
] | 2,799 | |
1807 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, in order to measure the distance between points A and B along the pond's edge, a point C is taken on the same side of line AB. Line C... | {"<|obj1|>":[0,0,167,167],"<|obj2|>":[35,70,70,98],"<|obj3|>":[105,70,140,98],"<|obj4|>":[77,7,105,42],"<|obj5|>":[0,119,35,154],"<|obj6|>":[147,133,161,161],"<|obj7|>":[147,133,161,161],"<|obj8|>":[56,70,147,119]} | [
168,
168
] | 3,457 | |
89 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, points D and E are the midpoints of AB and AC respectively. If DE = 6, then what is the length of BC?\nChoices:\nA: 8.0\nB: 10.0\nC: 12.0\nD... | {"<|obj1|>":[4,0,111,83],"<|obj2|>":[45,8,111,76],"<|obj3|>":[79,28,108,80],"<|obj4|>":[14,23,103,47],"<|obj5|>":[4,60,111,80]} | [
112,
84
] | 2,928 | |
1147 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, AB is the chord of O, the radius OC perpendicular AB at point D, and AB = 8.0, OC = 5.0, then the length of DC is ()\nChoices:\nA: 2... | {"<|obj1|>":[4,0,94,108],"<|obj2|>":[0,60,33,108],"<|obj3|>":[0,0,111,111],"<|obj4|>":[9,0,111,108]} | [
112,
112
] | 1,852 | |
1885 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the figure depicting quadrilateral ABCD, it is given that angles A and C add up to 110 degrees. What is the degree measure of angle B with this informatio... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[7,49,126,83],"<|obj3|>":[49,0,167,83],"<|obj4|>":[0,21,119,83],"<|obj5|>":[98,28,161,83],"<|obj6|>":[21,0,119,83],"<|obj7|>":[42,0,167,83],"<|obj8|>":[42,0,167,83]} | [
168,
84
] | 1,451 | |
478 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: When following the steps illustrated in the diagram, Tongtong sets off from point A and advances 3m to reach point B. Subsequently, she makes a right turn of... | {"<|obj1|>":[0,0,84,55],"<|obj2|>":[49,0,84,14],"<|obj3|>":[91,21,161,55],"<|obj4|>":[77,0,167,55]} | [
168,
56
] | 1,453 | |
621 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If AB is the diameter of circle O and points C and D are located on the circle, what is the measure of angle ADC when angle CAB measures 50 degrees?\nChoices... | {"<|obj1|>":[11,0,129,111],"<|obj2|>":[35,5,100,48],"<|obj3|>":[17,17,53,42],"<|obj4|>":[29,11,82,48],"<|obj5|>":[29,8,100,80],"<|obj6|>":[35,11,82,36],"<|obj7|>":[5,0,139,111],"<|obj8|>":[11,41,82,111]} | [
140,
112
] | 1,883 | |
929 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the illustration provided, to ascertain the distance between points A and B across a pond, a point C is chosen outside the line segment AB. Subsequently, ... | {"<|obj1|>":[0,0,139,195],"<|obj2|>":[0,57,42,156],"<|obj3|>":[0,0,139,195],"<|obj4|>":[8,24,66,195]} | [
140,
196
] | 3,762 | |
597 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Consider the figure depicting parallelogram ABCD with intersecting diagonals at point O. If AB measures 6.0 and the perimeter of triangle OCD is 23.0, what w... | {"<|obj1|>":[7,7,161,83],"<|obj2|>":[70,35,98,63],"<|obj3|>":[46,0,164,83],"<|obj4|>":[0,7,63,83],"<|obj5|>":[21,7,154,83],"<|obj6|>":[28,0,119,83]} | [
168,
84
] | 2,171 | |
898 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Use a sector with a radius of 3.0 and a central angle of 120.0 to form the lateral surface of a cone, then the radius of the bottom of the cone is ()\nChoice... | {"<|obj1|>":[0,0,83,111],"<|obj2|>":[42,46,83,108],"<|obj3|>":[23,9,83,98],"<|obj4|>":[0,0,80,98]} | [
84,
112
] | 1,506 | |
1689 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given triangle XYZ where point Q lies on the extension of side YZ, and angle Y = 40.0, angle XQZ = 120.0, what is the measure of angle X?\nChoices:\nA: 20°\n... | {"<|obj1|>":[0,0,119,83],"<|obj2|>":[0,0,167,63],"<|obj3|>":[7,0,167,77],"<|obj4|>":[7,0,167,83],"<|obj5|>":[0,0,167,83]} | [
168,
84
] | 2,026 | |
784 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, the known straight line a parallel b parallel c, the straight line, n and a, b, c intersect at points A, C, E, B, D, F respectively... | {"<|obj1|>":[122,23,139,42],"<|obj2|>":[122,47,135,65],"<|obj3|>":[99,82,139,111],"<|obj4|>":[52,0,82,65],"<|obj5|>":[64,0,105,36],"<|obj6|>":[40,17,65,36],"<|obj7|>":[81,11,117,48],"<|obj8|>":[5,5,47,59],"<|obj9|>":[81,11,117,83],"<|obj10|>":[0,64,18,111],"<|obj11|>":[99,64,117,83]} | [
140,
112
] | 2,660 | |
1979 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the provided diagram, let's denote angle 1 as variable u (u = 69°) and angle 3 as variable v. If a is parallel to b and angle 2 is equal to 2 times angle ... | {"<|obj1|>":[7,63,154,139],"<|obj2|>":[0,0,140,119],"<|obj3|>":[91,0,167,84],"<|obj4|>":[126,70,154,84],"<|obj5|>":[0,0,154,139]} | [
168,
140
] | 4,568 | |
1547 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the provided figure, the diagonals AC and BD of parallelogram ABCD intersect at point O. If AB is perpendicular to AC and has a length of 8, while BD meas... | {"<|obj1|>":[14,0,133,83],"<|obj2|>":[8,33,58,76],"<|obj3|>":[8,0,195,83],"<|obj4|>":[16,0,195,83],"<|obj5|>":[8,0,139,83],"<|obj6|>":[40,0,139,83]} | [
196,
84
] | 2,557 | |
1103 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the diagram shown, point O is located on line CD. OC bisects the angle AOB, and ray OE passes through O, creating angle AOE which measures 90°. Given that... | {"<|obj1|>":[133,21,154,42],"<|obj2|>":[126,119,147,133],"<|obj3|>":[126,14,161,133],"<|obj4|>":[0,42,147,139],"<|obj5|>":[14,0,63,70],"<|obj6|>":[49,63,91,98],"<|obj7|>":[112,105,154,139],"<|obj8|>":[49,0,167,139],"<|obj9|>":[14,0,161,139],"<|obj10|>":[14,0,147,49],"<|obj11|>":[0,0,167,139],"<|obj12|>":[84,14,154,139]... | [
168,
140
] | 3,337 | |
1463 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If angle ACB is equal to 22.0 degrees and points A, B, and C are on circle O, what is the measure of angle AOB?\nChoices:\nA: 11°\nB: 22°\nC: 44°\nD: 66°.\nP... | {"<|obj1|>":[0,0,111,103],"<|obj2|>":[9,4,108,108]} | [
112,
112
] | 936 | |
501 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, the four vertices A, B, C, and D are all on circle O, if OC perpendicular AB, angle AOC = 50.0, then the degree of angel angle D is ... | {"<|obj1|>":[0,0,111,70],"<|obj2|>":[0,51,56,108],"<|obj3|>":[88,14,103,94],"<|obj4|>":[42,88,66,111],"<|obj5|>":[79,0,108,24],"<|obj6|>":[42,28,66,98],"<|obj7|>":[60,70,111,108],"<|obj8|>":[23,0,103,89],"<|obj9|>":[9,0,108,111]} | [
112,
112
] | 2,472 | |
1690 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the diagram shown, if angle 1 equals 89 degrees, angle 2 equals 91 degrees, and angle 3 equals 88 degrees, then what is the value of angle 4?\nChoices:\nA... | {"<|obj1|>":[112,35,139,63],"<|obj2|>":[14,84,98,167],"<|obj3|>":[21,0,105,84],"<|obj4|>":[84,21,91,49],"<|obj5|>":[28,0,112,105],"<|obj6|>":[28,0,112,105],"<|obj7|>":[28,14,139,167],"<|obj8|>":[35,0,139,91],"<|obj9|>":[35,0,139,167]} | [
140,
168
] | 2,570 | |
90 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given the figure where point C is situated within angle BAD, connecting CB and CD, and with angle A measuring 80°, angle B measuring 10°, and angle D measuri... | {"<|obj1|>":[58,11,76,24],"<|obj2|>":[0,64,30,106],"<|obj3|>":[35,64,76,101],"<|obj4|>":[122,76,135,106],"<|obj5|>":[5,17,135,106],"<|obj6|>":[11,64,41,95],"<|obj7|>":[5,76,135,106]} | [
140,
112
] | 2,282 | |
1180 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, to estimate the width of a river, a target point A is selected on the opposite bank of the river, and three points B, C, and D are ta... | {"<|obj1|>":[0,0,139,129],"<|obj2|>":[0,0,65,35],"<|obj3|>":[29,70,100,139],"<|obj4|>":[93,87,129,123],"<|obj5|>":[99,105,123,139],"<|obj6|>":[0,11,117,117],"<|obj7|>":[29,64,139,139],"<|obj8|>":[93,87,123,139],"<|obj9|>":[75,52,123,139]} | [
140,
140
] | 1,507 | |
200 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, if the length of the generatrix of a cone is l=6 and the radius of the base circle is r=2, then the central angle θ of the developed ... | {"<|obj1|>":[0,5,111,123],"<|obj2|>":[29,105,106,139],"<|obj3|>":[0,0,111,139]} | [
112,
140
] | 1,637 | |
1917 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given figure, in a right triangle ABC with angle BAC equal to 90 degrees, AB measuring 3, and AC measuring 4, if point P moves on side BC and PE is pe... | {"<|obj1|>":[130,56,195,104],"<|obj2|>":[57,0,90,40],"<|obj3|>":[0,0,90,104],"<|obj4|>":[163,79,188,104],"<|obj5|>":[147,79,188,111],"<|obj6|>":[49,87,66,111],"<|obj7|>":[0,0,58,72],"<|obj8|>":[89,15,139,48],"<|obj9|>":[57,47,90,72],"<|obj10|>":[65,15,82,56]} | [
196,
112
] | 2,741 | |
357 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If the diagonals of rhombus ABCD intersect at point O, and the lengths of AC and BD are 8 and 6 respectively, what is the total distance around the rhombus?\... | {"<|obj1|>":[11,0,139,111],"<|obj2|>":[17,15,88,86],"<|obj3|>":[0,0,129,111],"<|obj4|>":[58,58,88,77],"<|obj5|>":[58,26,129,97]} | [
140,
112
] | 1,810 | |
121 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If triangle ABC is shown in the figure, with DE being parallel to BC and the ratio of AD to BD as 2:3, and if the length of DE is 4, what is the magnitude of... | {"<|obj1|>":[14,0,167,139],"<|obj2|>":[63,42,105,70],"<|obj3|>":[147,105,154,133],"<|obj4|>":[42,0,70,35],"<|obj5|>":[0,42,35,139],"<|obj6|>":[77,42,98,63],"<|obj7|>":[42,7,161,35],"<|obj8|>":[42,0,167,126],"<|obj9|>":[42,0,167,126],"<|obj10|>":[42,0,167,126],"<|obj11|>":[126,0,167,56],"<|obj12|>":[42,0,70,35]} | [
168,
140
] | 2,483 | |
358 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If the perimeter of triangle ABC is 22 cm and the angle bisectors of angle ABC and angle ACB intersect at point O, where OD is perpendicular to BC at point D... | {"<|obj1|>":[5,0,135,83],"<|obj2|>":[5,35,105,83],"<|obj3|>":[11,29,129,83],"<|obj4|>":[75,29,105,54],"<|obj5|>":[75,35,105,83],"<|obj6|>":[5,35,35,78]} | [
140,
84
] | 1,760 | |
909 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: What is the length of side AB in the rhombus ABCD, as shown in the figure, with point O being the intersection of AC and BD? AO measures 4 and BO measures 3.... | {"<|obj1|>":[0,0,103,111],"<|obj2|>":[9,0,111,111],"<|obj3|>":[0,0,103,111]} | [
112,
112
] | 2,049 | |
198 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If we rotate right triangle ABC, with BC measuring 4.0, AB measuring 5.0, and angle ACB measuring 90.0 degrees, around the line where BC is located, what wil... | {"<|obj1|>":[42,28,83,167],"<|obj2|>":[0,0,83,167],"<|obj3|>":[14,21,83,161],"<|obj4|>":[35,126,77,154],"<|obj5|>":[14,35,83,140]} | [
84,
168
] | 1,974 | |
1042 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: A tunnel needs to be opened in a certain place, and the length of tunnel AB cannot be directly measured. As shown in the figure, take a point C on the ground... | {"<|obj1|>":[0,32,47,94],"<|obj2|>":[84,28,108,80],"<|obj3|>":[65,88,84,108],"<|obj4|>":[28,65,52,80],"<|obj5|>":[65,56,103,94],"<|obj6|>":[28,65,94,89],"<|obj7|>":[0,32,28,89]} | [
112,
112
] | 2,327 | |
1841 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: The picture shows the cross section of the river embankment, the height of the embankment BC = 5.0, and the length of the front water slope AB is 10.0, then ... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[0,0,84,83],"<|obj3|>":[147,0,161,21],"<|obj4|>":[133,49,167,83],"<|obj5|>":[21,0,161,77]} | [
168,
84
] | 1,306 | |
1341 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, AB is the diameter of circle O. Point C is on circle O. Connect OC and AC. If angle OCA = 26°, then angle BOC = ().\nChoices:\nA: 60°... | {"<|obj1|>":[0,4,111,75],"<|obj2|>":[0,4,111,103],"<|obj3|>":[70,84,98,111],"<|obj4|>":[32,46,89,103],"<|obj5|>":[79,4,94,28],"<|obj6|>":[28,4,111,98],"<|obj7|>":[28,0,111,84],"<|obj8|>":[0,4,111,94],"<|obj9|>":[0,23,89,108],"<|obj10|>":[28,4,111,84],"<|obj11|>":[28,4,84,61],"<|obj12|>":[28,4,111,84],"<|obj13|>":[28,4,... | [
112,
112
] | 2,325 | |
13533 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, in triangle ABC, AD is the median of BC, BE is the median of side AD in triangle ABD. If the area of triangle ABC is 20, then the are... | {"<|obj1|>":[16,0,195,111],"<|obj2|>":[40,7,180,96],"<|obj3|>":[73,0,147,80],"<|obj4|>":[8,79,188,104],"<|obj5|>":[8,31,147,104]} | [
196,
112
] | 2,095 | |
711 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: When the length of the generatrix is 10.0 and the expanded figure of the lateral surface is a sector with a central angle of 216.0 degrees, what value can be... | {"<|obj1|>":[0,0,161,167],"<|obj2|>":[0,0,167,133]} | [
168,
168
] | 1,951 | |
971 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the figure provided, if angle AOB measures 84 degrees and points A, B, and C are positioned on circle O, what is the measure of angle ACB?\nChoices:\nA: 4... | {"<|obj1|>":[0,4,111,98],"<|obj2|>":[0,70,103,111],"<|obj3|>":[88,65,103,89],"<|obj4|>":[3,0,71,67],"<|obj5|>":[42,32,98,89]} | [
112,
112
] | 1,439 | |
1886 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, points A, B, and C are on circle O, if angle ABC = 52.0, then the degree of angle AOC is ()\nChoices:\nA: 128°\nB: 104°\nC: 50°\nD: 5... | {"<|obj1|>":[0,0,103,111],"<|obj2|>":[28,28,108,108],"<|obj3|>":[23,0,111,111],"<|obj4|>":[9,32,94,111]} | [
112,
112
] | 2,066 | |
96 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, points D and E lie on the sides AB and AC respectively. If DE is parallel to BC, and the ratio of AE to AC is 3:4, with AD measuring 6.0, wh... | {"<|obj1|>":[0,0,167,111],"<|obj2|>":[7,7,91,91],"<|obj3|>":[147,42,167,84],"<|obj4|>":[0,0,161,111]} | [
168,
112
] | 1,431 | |
667 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Roll a sector with a radius of 36.0 and a central angle of 480.0 into a cone (without overlap) as shown in the figure, then the radius of the bottom circle o... | {"<|obj1|>":[0,0,83,83],"<|obj2|>":[0,0,81,35]} | [
84,
84
] | 2,177 | |
128 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Within the provided diagram, triangle ABC is depicted with AD functioning as the median on side BC, and in triangle ABD, BE serves as the median on side AD. ... | {"<|obj1|>":[8,0,195,111],"<|obj2|>":[40,0,180,111],"<|obj3|>":[8,47,131,104],"<|obj4|>":[47,0,165,111],"<|obj5|>":[49,0,195,111],"<|obj6|>":[16,14,115,111]} | [
196,
112
] | 2,837 | |
1481 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the provided diagram, a diamond ABCD is displayed with its diagonal lines AC and BD. If AC measures 6.0 units and BD measures 8.0 units, what is the area ... | {"<|obj1|>":[14,0,139,83],"<|obj2|>":[0,0,139,83],"<|obj3|>":[0,0,139,83],"<|obj4|>":[11,0,123,78]} | [
140,
84
] | 3,439 | |
1766 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the provided scenario, consider the distance between points A and B as variable z. Xiao Ming aims to measure this distance using a rope, but the rope fall... | {"<|obj1|>":[14,0,56,21],"<|obj2|>":[7,91,28,111],"<|obj3|>":[140,35,161,63],"<|obj4|>":[77,7,98,56],"<|obj5|>":[70,70,98,91]} | [
168,
112
] | 2,301 | |
1091 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given a parallelogram ABCD in the figure, with AE being perpendicular to BC at point E and AF being perpendicular to CD at point F, if angle ABC is measured ... | {"<|obj1|>":[0,0,195,139],"<|obj2|>":[0,0,195,139],"<|obj3|>":[0,0,139,99]} | [
196,
140
] | 3,120 | |
533 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given diagram, triangle ABC has a right angle at C and three squares are constructed outside the triangle using the sides of triangle ABC as their edg... | {"<|obj1|>":[46,5,139,111],"<|obj2|>":[11,5,117,95],"<|obj3|>":[0,0,139,111],"<|obj4|>":[64,8,135,80],"<|obj5|>":[0,0,139,111],"<|obj6|>":[0,0,135,111],"<|obj7|>":[40,47,123,111],"<|obj8|>":[5,5,100,53]} | [
140,
112
] | 2,734 | |
692 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given the parallel lines AB and CD, and the ratio frac {AO}{OD}=frac {2.0}{3.0}, determine the ratio of the areas of triangle AOB to triangle DOC. Express th... | {"<|obj1|>":[16,12,75,72],"<|obj2|>":[31,7,77,25],"<|obj3|>":[45,24,67,42],"<|obj4|>":[17,3,83,63],"<|obj5|>":[63,63,74,74]} | [
84,
84
] | 863 | |
1583 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given diagram, line segment AB is tangent to circle O at point C. If both OA and OB are measured at 10 centimeters and AB measures 16 centimeters, wha... | {"<|obj1|>":[29,0,129,77],"<|obj2|>":[0,0,139,111],"<|obj3|>":[11,76,30,101],"<|obj4|>":[110,0,135,101],"<|obj5|>":[58,35,88,59],"<|obj6|>":[35,38,105,109],"<|obj7|>":[0,11,139,111],"<|obj8|>":[105,0,139,106]} | [
140,
112
] | 1,805 | |
454 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the provided diagram, if two protractors are placed on top of each other, what is the degree measure of angle α?\nChoices:\nA: 55°\nB: 60°\nC: 65°\nD: 75°... | {"<|obj1|>":[0,0,167,111],"<|obj2|>":[0,0,161,111]} | [
168,
112
] | 3,018 | |
1505 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the provided figure, Xiaoming embarks on a journey from point A. He walks in a straight line for a distance of 10.0 units and then turns left by an angle ... | {"<|obj1|>":[0,41,70,111],"<|obj2|>":[0,0,88,111],"<|obj3|>":[0,0,139,111]} | [
140,
112
] | 1,475 | |
1459 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the equilateral triangle triangle ABC shown in the figure, let's denote the length of DE as variable w. If DE = 2, what is the numerical value of the peri... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[42,70,70,111],"<|obj3|>":[14,42,61,108],"<|obj4|>":[46,84,94,108],"<|obj5|>":[56,14,108,108]} | [
112,
112
] | 3,197 | |
1688 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, in the quadrilateral ABCD, angle A = angle B = 2.0 angle C = 90.0, then the degree of angle D is ()\nChoices:\nA: 120°\nB: 125°\nC: 1... | {"<|obj1|>":[0,4,111,83],"<|obj2|>":[0,0,111,83],"<|obj3|>":[0,0,111,83],"<|obj4|>":[84,4,108,80],"<|obj5|>":[28,18,103,83]} | [
112,
84
] | 1,761 | |
816 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given diagram, AC is perpendicular to BC and the line EF passes through point C. If angle 1 measures 35 degrees, what is the measure of angle 2?\nChoi... | {"<|obj1|>":[14,0,139,111],"<|obj2|>":[40,5,139,111],"<|obj3|>":[58,0,88,106],"<|obj4|>":[0,52,70,101],"<|obj5|>":[52,0,123,106],"<|obj6|>":[0,41,70,111],"<|obj7|>":[52,5,123,106]} | [
140,
112
] | 1,669 |