id string | image image | conversations list | regions string | image_size list | num_tokens int64 |
|---|---|---|---|---|---|
512 | [
{
"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, where AB represents the diameter of circle O and CD is a chord, determine the measure of angle ABD if angle BCD measures 24°.\nChoices:\... | {"<|obj1|>":[0,0,38,55],"<|obj2|>":[7,23,52,35],"<|obj3|>":[0,2,55,55],"<|obj4|>":[0,16,26,52],"<|obj5|>":[44,23,54,35],"<|obj6|>":[32,39,47,55],"<|obj7|>":[30,0,38,12]} | [
56,
56
] | 1,729 | |
604 | [
{
"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 B is a point on circle O, if angle AOC = 120.0, then the size of angle B is ()\nChoices:\nA: 45度\nB: 50度\nC: 60度\nD: 75度.\nPlea... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[4,0,103,98],"<|obj3|>":[4,0,98,98]} | [
112,
112
] | 1,481 | |
1326 | [
{
"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 parallelogram ABCD, the diagonals AC and BD intersect at point O, and point E is the midpoint of BC. If OE = 1.0, then the len... | {"<|obj1|>":[0,0,195,83],"<|obj2|>":[0,0,188,76],"<|obj3|>":[138,0,188,26],"<|obj4|>":[81,0,115,51],"<|obj5|>":[49,58,74,83],"<|obj6|>":[0,0,157,83]} | [
196,
84
] | 2,711 | |
1884 | [
{
"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 given diagram with the intersection of lines AB and CD at point O. Line OE bisects angle BOC. If angle AOD is measured at 68 degrees, what is th... | {"<|obj1|>":[84,77,167,161],"<|obj2|>":[0,0,147,167],"<|obj3|>":[21,21,161,154],"<|obj4|>":[7,21,147,161],"<|obj5|>":[21,21,161,161],"<|obj6|>":[14,21,167,161],"<|obj7|>":[14,21,154,154]} | [
168,
168
] | 3,517 | |
1531 | [
{
"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 ABC, as shown in the diagram, has DE parallel to BC and the ratio of AD to DB is 1:2. If the perimeter of triangle ADE is 9 units, what is the perim... | {"<|obj1|>":[9,56,66,111],"<|obj2|>":[4,0,111,98],"<|obj3|>":[28,28,94,52],"<|obj4|>":[9,88,28,98],"<|obj5|>":[14,0,111,108],"<|obj6|>":[4,32,66,108]} | [
112,
112
] | 2,139 | |
2315 | [
{
"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 set of triangular plates are placed as shown in the figure below, and the degree of angle 1 is smaller than the degree of angle 2 by 20.0, then the degree ... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[0,0,111,111],"<|obj3|>":[0,0,111,111],"<|obj4|>":[0,0,108,108]} | [
112,
112
] | 1,324 | |
1194 | [
{
"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 circle O with diameter AB, along with points C and D situated on the circle. Provided that angle ABD equals 55.0 degrees, ascertain the measure of a... | {"<|obj1|>":[11,0,70,95],"<|obj2|>":[11,35,65,106],"<|obj3|>":[87,0,123,36],"<|obj4|>":[58,76,88,111],"<|obj5|>":[29,11,123,89],"<|obj6|>":[58,15,129,86],"<|obj7|>":[29,11,123,83],"<|obj8|>":[0,26,70,97],"<|obj9|>":[11,0,123,83],"<|obj10|>":[0,26,70,97],"<|obj11|>":[35,11,135,111],"<|obj12|>":[0,0,139,111],"<|obj13|>":... | [
140,
112
] | 3,468 | |
1332 | [
{
"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 provided figure AB is parallel to CD and angle 1 measures 105 degrees, what is the degree measure of angle 2?\nChoices:\nA: 105°\nB: 85°\nC: 75°\nD... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[35,0,139,111],"<|obj3|>":[58,0,139,111]} | [
140,
112
] | 1,704 | |
1937 | [
{
"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, Xiaoming is faced with the challenge of measuring the distance between pond A and B using a ruler that lacks the capability to measure ... | {"<|obj1|>":[31,0,63,51],"<|obj2|>":[10,71,137,111],"<|obj3|>":[101,0,251,111],"<|obj4|>":[94,20,251,111],"<|obj5|>":[220,30,242,61],"<|obj6|>":[73,0,251,111]} | [
252,
112
] | 2,111 | |
1209 | [
{
"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 cross section of a sewage pipe is shown. The radius of the cross section, OB, is given as 5.0, and the distance from the center O... | {"<|obj1|>":[0,9,108,111],"<|obj2|>":[9,65,70,111],"<|obj3|>":[0,0,111,111],"<|obj4|>":[46,28,70,61],"<|obj5|>":[32,51,61,89]} | [
112,
112
] | 1,811 | |
658 | [
{
"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, A, B, and C are positioned on circle O, with the angle O measuring 70 degrees. What is the measure of angle C?\nChoices:\nA: 40°\nB: 35°\nC: 3... | {"<|obj1|>":[0,5,117,65],"<|obj2|>":[5,76,35,111],"<|obj3|>":[81,82,105,111],"<|obj4|>":[110,5,135,53],"<|obj5|>":[35,11,139,101],"<|obj6|>":[29,17,94,101],"<|obj7|>":[40,26,111,97],"<|obj8|>":[5,58,111,111]} | [
140,
112
] | 1,809 | |
1078 | [
{
"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 illustrating triangle ABC, where the midpoints of BC, AD, and CE are labeled as D, E, and F, respectively. If the area of triangle ABC is... | {"<|obj1|>":[0,0,111,139],"<|obj2|>":[35,122,53,139],"<|obj3|>":[35,0,111,135],"<|obj4|>":[15,64,86,135],"<|obj5|>":[0,0,111,123],"<|obj6|>":[5,11,89,139],"<|obj7|>":[28,0,111,84],"<|obj8|>":[11,11,111,139]} | [
112,
140
] | 2,830 | |
1398 | [
{
"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 of parallel lines a and b, if the measure of angle 1 is 100°, what is the measure of angle 2? Represent the measure of angle 2 as θ.\nCh... | {"<|obj1|>":[58,17,135,83],"<|obj2|>":[58,11,135,83],"<|obj3|>":[58,0,139,83],"<|obj4|>":[0,0,123,83],"<|obj5|>":[52,0,123,71]} | [
140,
84
] | 1,693 | |
1099 | [
{
"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 diagram depicting points A and B separated by a pond, a point C is chosen outside of AB to construct line segments AC and BC. The midpoints of AC a... | {"<|obj1|>":[147,0,161,133],"<|obj2|>":[91,0,112,35],"<|obj3|>":[0,105,21,126],"<|obj4|>":[63,112,84,139],"<|obj5|>":[0,49,84,133],"<|obj6|>":[21,0,167,139],"<|obj7|>":[0,49,84,133],"<|obj8|>":[0,14,98,139],"<|obj9|>":[7,42,167,139],"<|obj10|>":[0,49,84,133]} | [
168,
140
] | 3,524 | |
1237 | [
{
"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 ABD is depicted in the figure, with angle D equal to 80 degrees. Point C is situated on side BD, resulting in the formation of line segment AC. When... | {"<|obj1|>":[11,0,139,83],"<|obj2|>":[40,65,59,78],"<|obj3|>":[11,0,135,83],"<|obj4|>":[32,0,131,83],"<|obj5|>":[11,0,129,83],"<|obj6|>":[5,0,129,83],"<|obj7|>":[5,0,139,83],"<|obj8|>":[35,0,129,78],"<|obj9|>":[17,0,129,83],"<|obj10|>":[11,0,139,83],"<|obj11|>":[51,0,136,83],"<|obj12|>":[32,0,131,83]} | [
140,
84
] | 2,507 | |
1507 | [
{
"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 in the provided figure, OE is the bisector of angle AOB, CD is parallel to OB, and angle ACD is measured at 40 degrees, what is the degree measure... | {"<|obj1|>":[4,65,28,94],"<|obj2|>":[65,4,98,28],"<|obj3|>":[98,98,108,111],"<|obj4|>":[28,28,70,108],"<|obj5|>":[79,51,94,70],"<|obj6|>":[98,28,103,52],"<|obj7|>":[65,4,98,28],"<|obj8|>":[84,88,111,111],"<|obj9|>":[60,51,98,75],"<|obj10|>":[0,23,111,111]} | [
112,
112
] | 2,041 | |
1355 | [
{
"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, let's denote the length of diagonal BD as variable x and the length of DC as variable y. If angle AOB is represented by the variable z (... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[46,28,103,83],"<|obj3|>":[84,56,103,83],"<|obj4|>":[14,0,103,83]} | [
112,
84
] | 3,297 | |
255 | [
{
"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, circle O has diameter AB and chord BC. If the measure of angle OBC is 60.0 degrees, what is the degree measure of angle BAC?\nChoices... | {"<|obj1|>":[0,0,103,111],"<|obj2|>":[51,32,111,108],"<|obj3|>":[51,14,108,70],"<|obj4|>":[9,0,111,111],"<|obj5|>":[32,0,103,111]} | [
112,
112
] | 2,166 | |
343 | [
{
"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 diagram with AD identified as the median of side BC, and in triangle ACD, CE is the median of side AD, then what is the area ... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[33,5,118,90],"<|obj3|>":[5,76,30,89],"<|obj4|>":[11,0,139,111],"<|obj5|>":[0,5,139,106],"<|obj6|>":[11,0,139,101]} | [
140,
112
] | 2,298 | |
1460 | [
{
"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, quadrilateral ABCD is a rhombus. AC = 8cm and DB = 6cm. DH is perpendicular to AB at H. The value of DH is ()\nChoices:\nA: 3.6\nB: ... | {"<|obj1|>":[17,0,139,111],"<|obj2|>":[11,0,139,111],"<|obj3|>":[0,0,139,111],"<|obj4|>":[0,11,100,111],"<|obj5|>":[11,0,139,111]} | [
140,
112
] | 3,293 | |
565 | [
{
"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: Let the measure of angle A in triangle ABC be denoted by the variable 'w', where w = 80°. If point O is the incenter of triangle ABC, what is the value of th... | {"<|obj1|>":[0,0,223,111],"<|obj2|>":[84,46,103,84],"<|obj3|>":[18,0,223,111]} | [
224,
112
] | 2,442 | |
1316 | [
{
"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 OAB in circle O if angle ACB is 70 degrees and points A, B, and C are all depicted on the figure?\nChoices:\nA: 10°\nB: 20°\nC: ... | {"<|obj1|>":[0,0,139,139],"<|obj2|>":[0,70,70,139],"<|obj3|>":[58,5,105,30],"<|obj4|>":[99,17,129,53],"<|obj5|>":[11,11,139,135],"<|obj6|>":[11,0,139,129]} | [
140,
140
] | 2,488 | |
22 | [
{
"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, triangle ABC is displayed with side lengths AB = 5 units, BC = 3 units, and AC = 4 units. If a circle centered at C is tangent to si... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[23,32,89,111]} | [
112,
112
] | 2,283 | |
663 | [
{
"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 triangle ruler and its central projection under the illumination of the light form a similar figure, and their similarity ratio i... | {"<|obj1|>":[16,16,131,68],"<|obj2|>":[130,0,180,59],"<|obj3|>":[0,42,33,59]} | [
196,
84
] | 1,061 | |
1529 | [
{
"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 square ABCD, with a side length of 4.0 units, point P is located on side CD. If CP measures 3.0 units, and Q is the midpoint of BP, with QM perpendicular ... | {"<|obj1|>":[0,0,111,139],"<|obj2|>":[0,0,95,139],"<|obj3|>":[0,105,95,139],"<|obj4|>":[82,122,101,139],"<|obj5|>":[82,5,111,53],"<|obj6|>":[82,35,101,59],"<|obj7|>":[35,75,65,105],"<|obj8|>":[17,11,77,111],"<|obj9|>":[0,0,101,139],"<|obj10|>":[47,35,106,59]} | [
112,
140
] | 2,356 | |
196 | [
{
"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, a method for estimating the width of a river involves the selection of a target point A on the opposite bank and the marking of three... | {"<|obj1|>":[0,0,139,139],"<|obj2|>":[0,0,65,35],"<|obj3|>":[35,70,105,139],"<|obj4|>":[99,87,129,123],"<|obj5|>":[99,128,117,139],"<|obj6|>":[75,75,123,139],"<|obj7|>":[35,64,105,139],"<|obj8|>":[75,87,135,123],"<|obj9|>":[99,87,123,139],"<|obj10|>":[0,0,139,129],"<|obj11|>":[11,5,139,139]} | [
140,
140
] | 1,567 | |
420 | [
{
"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, lines AD, BE, and CF are parallel, with points A, B, C, D, E, and F intersecting these lines. If AB is 8.0 units, BC is 12.0 units, and DE is ... | {"<|obj1|>":[0,0,161,91],"<|obj2|>":[28,28,161,42],"<|obj3|>":[7,28,126,119],"<|obj4|>":[0,56,84,139],"<|obj5|>":[0,0,167,139],"<|obj6|>":[7,0,154,70]} | [
168,
140
] | 2,274 | |
1966 | [
{
"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 triangle ABC, where the lengths of sides AB, AC, and BC are given as 7, 6, and 5 respectively. Let D and E denote the midpoints of sides AB and AC r... | {"<|obj1|>":[9,0,111,108],"<|obj2|>":[4,32,103,103],"<|obj3|>":[88,46,103,66],"<|obj4|>":[28,42,103,66]} | [
112,
112
] | 3,642 | |
950 | [
{
"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 presented figure, the similarity figure consists of a protractor and its projected image under light. If the scale factor of similarity is denoted as ... | {"<|obj1|>":[57,7,188,64],"<|obj2|>":[147,7,180,111],"<|obj3|>":[0,39,25,88]} | [
196,
112
] | 1,673 | |
674 | [
{
"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 cylindrical oil tank with a diameter of 'd' units (d = 650.0), the oil surface forms the cross-section shown in the figure. If the width of the oil surf... | {"<|obj1|>":[0,0,139,111]} | [
140,
112
] | 1,649 | |
167 | [
{
"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 is the circumcircle of triangle ABC. If angle C measures 40.0 degrees, what is the measure of angle ABO? Represent the measure ... | {"<|obj1|>":[0,0,70,98],"<|obj2|>":[14,4,111,111],"<|obj3|>":[60,4,108,108]} | [
112,
112
] | 1,308 | |
1596 | [
{
"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, DE is parallel to BC. If AD = 8.0, DB = 12.0, and AE = 6.0, what is the value of AC?\nChoices:\nA: 9.0\nB: 11.0\nC: 13.0\nD: 15.0.\nPlease a... | {"<|obj1|>":[42,51,66,75],"<|obj2|>":[4,23,66,47],"<|obj3|>":[4,60,14,75],"<|obj4|>":[88,46,111,75],"<|obj5|>":[14,4,84,70],"<|obj6|>":[51,23,108,80]} | [
112,
84
] | 2,179 | |
1569 | [
{
"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, in triangle ABC, points D, E, and F are the midpoints of BC, AB, and AC respectively. If the perimeter of triangle ABC is 20, then t... | {"<|obj1|>":[5,0,117,106],"<|obj2|>":[58,88,82,111],"<|obj3|>":[35,35,76,111],"<|obj4|>":[110,35,123,53],"<|obj5|>":[33,16,118,101]} | [
140,
112
] | 2,878 | |
1175 | [
{
"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, triangle ABC is shown with D and E marking the midpoints of sides BC and AD respectively. If the area of triangle ABC is determined ... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[37,88,66,108],"<|obj3|>":[60,46,75,66],"<|obj4|>":[18,14,111,89]} | [
112,
112
] | 2,351 | |
588 | [
{
"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: Known: As shown in the figure, if the diagonal AC of parallelogram ABCD is 3.0, the perimeter of triangle ABC is 10.0, and the perimeter of □ABCD is ()\nChoi... | {"<|obj1|>":[0,7,167,83],"<|obj2|>":[7,0,167,83]} | [
168,
84
] | 1,736 | |
61 | [
{
"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 parallelogram ABCD, if angle A = 30.0, the height on the AB side is 8.0, then the length of BC is ()\nChoices:\nA: 16\nB: 8\nC: 8√{2}\nD: 8√{3}.\nPlea... | {"<|obj1|>":[0,0,251,83],"<|obj2|>":[101,0,251,83]} | [
252,
84
] | 2,560 | |
714 | [
{
"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, C is a point on circle O (excluding points A and B), and angle BOD measures 44.0 degrees in the accompanying figure, what ... | {"<|obj1|>":[5,5,88,135],"<|obj2|>":[0,58,70,129],"<|obj3|>":[81,0,111,53],"<|obj4|>":[11,5,135,139],"<|obj5|>":[11,11,129,139]} | [
140,
140
] | 3,770 | |
1703 | [
{
"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 railway crossing, if the length of the shorter arm of the railing is 'p' units (p = 1.0) and the length of the longer arm is 'q' units (q = 12.0), what ... | {"<|obj1|>":[0,0,94,51],"<|obj2|>":[23,11,41,51]} | [
140,
56
] | 2,016 | |
562 | [
{
"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 is the circumcircle of triangle ABC. If angle A measures 80.0 degrees, what is the measure of angle BOC? Express the measure of... | {"<|obj1|>":[9,4,98,83],"<|obj2|>":[14,0,111,83],"<|obj3|>":[14,4,108,83]} | [
112,
84
] | 1,945 | |
491 | [
{
"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, the rhombus ABCD has a diagonal BD with a length of 4, and the length of AC is three times the length of BD. What is the area of rhom... | {"<|obj1|>":[37,9,206,103],"<|obj2|>":[9,0,140,56],"<|obj3|>":[0,0,223,111]} | [
224,
112
] | 2,627 | |
587 | [
{
"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 A plus angle B in pentagon ABCDE is equal to 215°, and angles 1, 2, and 3 are three exterior angles of the pentagon, what is the total measure of an... | {"<|obj1|>":[0,21,147,167],"<|obj2|>":[126,49,154,77],"<|obj3|>":[49,0,91,42],"<|obj4|>":[0,77,35,105]} | [
168,
168
] | 3,434 | |
547 | [
{
"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: Considering triangle ABC with BD as the angle bisector, how many degrees does angle C measure if angle DBA is 30 degrees and angle ADB is 80 degrees as depic... | {"<|obj1|>":[3,3,83,83],"<|obj2|>":[35,17,77,60],"<|obj3|>":[0,0,83,83],"<|obj4|>":[7,10,81,83]} | [
84,
84
] | 1,599 | |
941 | [
{
"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 triangle ABC, the perpendicular bisector of AB intersects the perpendicular bisector of BC at point O. If angle BAC measures 70.0 degrees, what is the... | {"<|obj1|>":[35,7,167,119],"<|obj2|>":[7,0,167,139],"<|obj3|>":[56,49,98,98],"<|obj4|>":[0,0,167,139],"<|obj5|>":[0,39,101,139]} | [
168,
140
] | 3,760 | |
738 | [
{
"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, point D is located at the intersection of BD and BC, where BD is perpendicular to BC. If angle 1 is equal to 40 degrees and AB is parall... | {"<|obj1|>":[0,0,66,55],"<|obj2|>":[88,32,108,55],"<|obj3|>":[51,0,94,42],"<|obj4|>":[4,28,52,55],"<|obj5|>":[4,0,111,52],"<|obj6|>":[0,9,33,19],"<|obj7|>":[4,42,24,55]} | [
112,
56
] | 2,984 | |
1493 | [
{
"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 D is within triangle ABC, with BD perpendicular to CD, and lengths of AD, BD, and CD at 6, 4, and 3, and E, F, G, H as midpoints of AB, AC, CD, BD, what w... | {"<|obj1|>":[0,0,83,139],"<|obj2|>":[29,64,72,135],"<|obj3|>":[5,99,48,129],"<|obj4|>":[41,64,72,135],"<|obj5|>":[0,0,36,88],"<|obj6|>":[59,58,83,82],"<|obj7|>":[29,87,72,139],"<|obj8|>":[23,105,54,129],"<|obj9|>":[0,64,71,135],"<|obj10|>":[0,17,54,135],"<|obj11|>":[0,70,71,139],"<|obj12|>":[17,58,83,88],"<|obj13|>":[3... | [
84,
140
] | 3,782 | |
806 | [
{
"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 radius of circle O is 2.5 units. AB is a chord, OC is perpendicular to AB, and C is the foot of the perpendicular. If OC is 1.5 unit... | {"<|obj1|>":[18,0,111,84],"<|obj2|>":[0,0,111,111],"<|obj3|>":[51,56,61,84]} | [
112,
112
] | 1,885 | |
1298 | [
{
"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, let's denote the length of AB as variable k, where k = 3. What is the diameter of the disc, represented as variable n, in terms of k?\nC... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[0,0,139,83],"<|obj3|>":[70,0,139,83],"<|obj4|>":[35,47,65,83]} | [
140,
84
] | 2,415 | |
1970 | [
{
"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: Considering the given diagram depicting triangle ABC, with point D representing the midpoint of side BC and point E representing the midpoint of side BA, if ... | {"<|obj1|>":[93,11,135,65],"<|obj2|>":[58,82,82,106],"<|obj3|>":[52,35,94,59],"<|obj4|>":[5,20,76,91]} | [
140,
112
] | 1,802 | |
997 | [
{
"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 ABC is shown in the figure, where AD is the altitude on side BC. The angle bisectors of angle BAC and angle ABC are AE and BF respectively, and they... | {"<|obj1|>":[5,5,70,135],"<|obj2|>":[75,11,94,82],"<|obj3|>":[29,11,139,139],"<|obj4|>":[11,5,111,139],"<|obj5|>":[29,0,100,111],"<|obj6|>":[23,0,123,139],"<|obj7|>":[58,70,88,94],"<|obj8|>":[29,11,100,117],"<|obj9|>":[11,0,129,139]} | [
140,
140
] | 2,987 | |
366 | [
{
"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: Suppose in the figure, points A, B, and C lie on circle O. Given that angle AOB is measured at 70.0 degrees, what would be the measure of angle ACB?\nChoices... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[9,74,84,111],"<|obj3|>":[70,79,84,111],"<|obj4|>":[79,14,111,98],"<|obj5|>":[42,32,61,61],"<|obj6|>":[9,0,111,111],"<|obj7|>":[23,9,108,98],"<|obj8|>":[23,0,111,111]} | [
112,
112
] | 2,026 | |
1001 | [
{
"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, the tangents PA and PB touch circle O at points A and B, respectively, with C as a point on arc ACB. If angle C measures 64.0 degrees, ... | {"<|obj1|>":[0,0,167,111],"<|obj2|>":[0,21,84,105],"<|obj3|>":[35,84,140,111],"<|obj4|>":[70,0,167,98],"<|obj5|>":[14,0,147,98],"<|obj6|>":[91,84,140,111],"<|obj7|>":[98,0,161,28],"<|obj8|>":[70,0,167,49],"<|obj9|>":[7,0,126,105],"<|obj10|>":[7,0,161,98],"<|obj11|>":[98,84,140,105],"<|obj12|>":[7,0,167,91]} | [
168,
112
] | 4,188 | |
395 | [
{
"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, AD is 2 units long, DB is 3 units long, and AE is 1.5 units long, what is the value of AC?\nChoices:\nA: 2.... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[18,9,70,42],"<|obj3|>":[4,0,103,75],"<|obj4|>":[0,51,47,83],"<|obj5|>":[51,9,70,42]} | [
112,
84
] | 1,499 | |
1835 | [
{
"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 ABC is shown in the given diagram, with angle A measuring 50° and angle C measuring 60°. If BD bisects angle ABC and DE is a line parallel to BC tha... | {"<|obj1|>":[0,0,195,139],"<|obj2|>":[49,41,195,139],"<|obj3|>":[73,65,123,139],"<|obj4|>":[81,8,195,124],"<|obj5|>":[16,24,195,139],"<|obj6|>":[73,32,195,139]} | [
196,
140
] | 2,618 | |
1864 | [
{
"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 Changqing District Government is preparing to build an overpass with a height of AB = 12.0 in the University City. It is known that the angle between the... | {"<|obj1|>":[57,0,98,40],"<|obj2|>":[73,7,156,40],"<|obj3|>":[0,31,33,48],"<|obj4|>":[8,0,195,55]} | [
196,
56
] | 1,816 | |
2000 | [
{
"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 context of a practical activity class, Xiaoming undertakes the task of measuring the distance between two points, B and C, on a pond. To accomplis... | {"<|obj1|>":[0,35,41,66],"<|obj2|>":[75,0,100,18],"<|obj3|>":[110,0,129,83],"<|obj4|>":[0,5,30,66],"<|obj5|>":[5,11,76,83],"<|obj6|>":[58,53,70,78],"<|obj7|>":[5,11,70,83]} | [
140,
84
] | 1,766 | |
1013 | [
{
"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 quadrilateral ABCD is inscribed in circle O, and it is known that angle ADC = 140.0, then the size of angle AOC is ()\nChoices:\n... | {"<|obj1|>":[0,11,111,139],"<|obj2|>":[0,46,111,129],"<|obj3|>":[35,58,59,135],"<|obj4|>":[11,0,111,139],"<|obj5|>":[29,17,89,105],"<|obj6|>":[11,0,111,139],"<|obj7|>":[17,5,89,35]} | [
112,
140
] | 3,335 | |
1818 | [
{
"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: Let CD be the chord of circle O in the provided figure, and angle ADC be measured at 35.0 degrees. What is the degree measure of angle CBA?\nChoices:\nA: 35°... | {"<|obj1|>":[14,7,167,139],"<|obj2|>":[14,42,167,91],"<|obj3|>":[14,42,167,139],"<|obj4|>":[14,14,167,139]} | [
168,
140
] | 2,482 | |
1680 | [
{
"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 triangle ABC with angle B measuring 65.0 degrees and line CD parallel to line AB, with angle ACD at 40.0 degrees, what is the degree measure of ang... | {"<|obj1|>":[0,0,195,111],"<|obj2|>":[114,56,188,104],"<|obj3|>":[24,7,139,64],"<|obj4|>":[155,71,180,104],"<|obj5|>":[81,0,147,111],"<|obj6|>":[49,47,188,111]} | [
196,
112
] | 2,662 | |
155 | [
{
"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, DE is parallel to BC. If AD is 2.0 units and BD is 4.0 units, what is the value of DE/BC?\nChoices:\nA: \\frac{1}{2}\nB: \\frac{1}{3}\nC: \\... | {"<|obj1|>":[99,5,129,36],"<|obj2|>":[75,41,123,59],"<|obj3|>":[11,82,59,111],"<|obj4|>":[35,35,123,59],"<|obj5|>":[110,35,135,59],"<|obj6|>":[39,5,124,90],"<|obj7|>":[0,0,129,106],"<|obj8|>":[17,0,129,101],"<|obj9|>":[17,0,129,106],"<|obj10|>":[11,0,139,111]} | [
140,
112
] | 1,781 | |
595 | [
{
"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: Presented in the diagram is quadrilateral ABCD, with E and F serving as the midpoints of AB and AD respectively. If the length of EF is 6, BC measures 13, an... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[5,29,35,54],"<|obj3|>":[52,5,82,30],"<|obj4|>":[11,59,129,83],"<|obj5|>":[11,53,135,78]} | [
140,
84
] | 1,679 | |
1184 | [
{
"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 figure represents the cross section of a water pipe in the shape of a cylinder, with the area shaded to indicate the water inside. If the radius of the c... | {"<|obj1|>":[0,0,111,70],"<|obj2|>":[0,0,111,111],"<|obj3|>":[46,32,61,52],"<|obj4|>":[0,65,24,89],"<|obj5|>":[88,65,111,89],"<|obj6|>":[0,0,111,111],"<|obj7|>":[14,0,111,75],"<|obj8|>":[28,98,56,111]} | [
112,
112
] | 1,975 | |
853 | [
{
"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, let's denote the central angle AOC as variable h, where h = 126°. What is the measure of angle CDB, expressed as variable k in terms of ... | {"<|obj1|>":[0,5,76,111],"<|obj2|>":[5,41,35,65],"<|obj3|>":[35,17,105,95],"<|obj4|>":[39,16,124,101]} | [
140,
112
] | 1,905 | |
857 | [
{
"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, points D, E, and F are the midpoints of the sides AB, BC, and CA of triangle ABC, respectively. Connecting DE, EF, and FD forms triangle... | {"<|obj1|>":[5,0,139,83],"<|obj2|>":[5,0,139,83],"<|obj3|>":[0,11,88,83],"<|obj4|>":[35,35,94,83],"<|obj5|>":[33,0,118,83]} | [
140,
84
] | 3,386 | |
795 | [
{
"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, DE is parallel to BC and intersects AB at point D and AC at point E. If AD measures 3.0, DB measures 2.0, and BC measures 6.0, then what is ... | {"<|obj1|>":[4,0,111,111],"<|obj2|>":[0,42,84,66],"<|obj3|>":[9,0,111,108]} | [
112,
112
] | 2,263 | |
1825 | [
{
"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 and triangle DEF, AB = DE, BC = EF, and angle B + angle E = 180°. If the area of triangle ABC is 48cm2, then the area... | {"<|obj1|>":[11,0,152,111],"<|obj2|>":[151,22,279,111]} | [
280,
112
] | 2,237 | |
1076 | [
{
"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 right triangle ABC, given that angle C is 90 degrees, AB is 20 units long, and AC is 12 units long, D, E, and F are the midpoints of the three sides of tr... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[40,0,88,36],"<|obj3|>":[11,0,123,83],"<|obj4|>":[58,59,76,83],"<|obj5|>":[40,0,111,78]} | [
140,
84
] | 3,672 | |
890 | [
{
"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 context of circle O, points A, B, and C lie on the circumference. If angle ACB measures 20.0 degrees, what is the measure of angle BAO? Represent the ... | {"<|obj1|>":[0,0,103,47],"<|obj2|>":[42,14,70,42],"<|obj3|>":[0,37,24,83],"<|obj4|>":[28,65,42,75],"<|obj5|>":[84,42,98,61],"<|obj6|>":[9,9,66,66],"<|obj7|>":[9,14,66,70],"<|obj8|>":[42,23,61,52],"<|obj9|>":[46,23,61,52],"<|obj10|>":[9,4,61,66],"<|obj11|>":[13,0,81,67],"<|obj12|>":[13,0,81,67]} | [
112,
84
] | 2,135 | |
603 | [
{
"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 provided diagram, where lines AB and CD intersect at point O and angle BOD is 70 degrees, what is the measure of angle AOE if angle AOC is bisected... | {"<|obj1|>":[70,0,129,48],"<|obj2|>":[5,59,111,78],"<|obj3|>":[40,0,139,83],"<|obj4|>":[11,0,139,83],"<|obj5|>":[75,5,139,66],"<|obj6|>":[46,5,139,83],"<|obj7|>":[17,0,139,83],"<|obj8|>":[52,5,139,83],"<|obj9|>":[35,5,105,83]} | [
140,
84
] | 2,206 | |
393 | [
{
"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 scenario where trees are to be planted along a hilledge with an inclination angle θ of 30.0 degrees, the horizontal distance between two adjacent trees ... | {"<|obj1|>":[0,82,88,111],"<|obj2|>":[23,0,82,111]} | [
140,
112
] | 1,382 | |
1369 | [
{
"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 circle O, angle BOC = 80.0, then angle BAC is equal to ()\nChoices:\nA: 80°\nB: 50°\nC: 40°\nD: 25°.\nPlease answer the question u... | {"<|obj1|>":[0,0,83,111],"<|obj2|>":[4,0,83,108],"<|obj3|>":[4,0,70,103],"<|obj4|>":[0,9,83,111],"<|obj5|>":[4,0,80,111],"<|obj6|>":[4,18,80,108],"<|obj7|>":[4,0,70,98],"<|obj8|>":[9,0,83,108]} | [
84,
112
] | 1,820 | |
31 | [
{
"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: Find the degree of angle FAG in the provided picture when line AB is parallel to line CD, line AG bisects angle BAE, and angle CEF is 62°.\nChoices:\nA: 159°... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[46,23,98,42],"<|obj3|>":[84,70,98,80],"<|obj4|>":[28,4,84,83],"<|obj5|>":[32,0,103,66],"<|obj6|>":[23,4,98,66],"<|obj7|>":[14,0,84,83]} | [
112,
84
] | 2,076 | |
1063 | [
{
"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 parallelogram ABCD shown in the figure, and CE perpendicular to AB at point E, find the measure of angle BCE if angle A measures 125.0 degrees. Den... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[11,17,100,78],"<|obj3|>":[11,17,53,54],"<|obj4|>":[11,23,100,72],"<|obj5|>":[5,3,76,74],"<|obj6|>":[0,0,139,83],"<|obj7|>":[11,23,53,54]} | [
140,
84
] | 2,713 | |
1513 | [
{
"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, point C is a point on the line segment AB, point M is the midpoint of AC, and point N is the midpoint of BC. If MC is longer than NC by ... | {"<|obj1|>":[0,0,70,27],"<|obj2|>":[154,0,167,27],"<|obj3|>":[91,0,119,27],"<|obj4|>":[42,0,70,27],"<|obj5|>":[119,7,140,27]} | [
168,
28
] | 1,339 | |
1187 | [
{
"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 BOC in the given figure is measured at 50.0 degrees and points A, B, and C lie on circle O, what is the measure of angle A?\nChoices:\nA: 25°\nB: 20... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[88,32,111,66],"<|obj3|>":[70,88,89,111],"<|obj4|>":[0,65,28,111],"<|obj5|>":[42,32,61,61],"<|obj6|>":[23,9,98,94],"<|obj7|>":[23,32,80,89],"<|obj8|>":[9,32,66,89]} | [
112,
112
] | 2,718 | |
6101 | [
{
"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, CE is the bisector of the exterior angle angle ACD of triangle ABC. If angle B = 35° and angle ACE = 60°, then angle A = ().\nChoice... | {"<|obj1|>":[18,9,103,111],"<|obj2|>":[18,65,66,103],"<|obj3|>":[121,0,178,84],"<|obj4|>":[121,0,187,84]} | [
224,
112
] | 1,547 | |
221 | [
{
"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, the rectangle ABCD is the inscribed quadrilateral of circle O. Given that AB is 32 units and BC is 24 units, what is the diameter of circle O?... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[9,0,111,111],"<|obj3|>":[9,70,111,94],"<|obj4|>":[84,9,111,94]} | [
112,
112
] | 2,129 | |
437 | [
{
"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 consider the diagram, there is a ray labeled OA that is directed towards N20°E and a ray labeled OB that is directed towards S50°W. What is the degree ... | {"<|obj1|>":[35,49,77,161],"<|obj2|>":[35,0,139,98],"<|obj3|>":[7,28,63,167],"<|obj4|>":[63,0,126,49],"<|obj5|>":[98,77,126,112],"<|obj6|>":[7,140,77,167],"<|obj7|>":[0,70,35,119]} | [
140,
168
] | 3,150 | |
392 | [
{
"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 triangle ABC shown in the diagram, where point D lies on the edge AB, with the condition that angle ACD equals angle B, AD equals 1.0, and AC equals 2... | {"<|obj1|>":[21,0,154,105],"<|obj2|>":[77,35,98,63],"<|obj3|>":[70,28,154,111],"<|obj4|>":[133,77,154,105],"<|obj5|>":[63,7,147,91],"<|obj6|>":[77,28,154,105],"<|obj7|>":[7,77,154,105],"<|obj8|>":[7,84,77,105]} | [
168,
112
] | 4,168 | |
162 | [
{
"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 of circle O, let's denote the radius as variable 'r' (r = 10) and the length of chord AB as variable 'x' (x = 12). What is the minimu... | {"<|obj1|>":[4,0,108,84],"<|obj2|>":[0,0,111,111],"<|obj3|>":[14,28,66,84],"<|obj4|>":[42,28,61,84],"<|obj5|>":[14,18,98,94]} | [
112,
112
] | 3,421 | |
1315 | [
{
"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 visual representation, it is apparent that a towering tree snapped and toppled amidst a strong typhoon, causing it to hover above the ground at a h... | {"<|obj1|>":[0,0,215,83],"<|obj2|>":[0,0,223,83]} | [
224,
84
] | 2,957 | |
1277 | [
{
"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: With point D as the midpoint of segment AB and point E as the midpoint of segment AC in the given figure, if the length of DE is established as 3 units, what... | {"<|obj1|>":[0,0,107,124],"<|obj2|>":[8,41,107,124],"<|obj3|>":[73,98,90,124],"<|obj4|>":[49,41,98,124],"<|obj5|>":[114,8,139,33]} | [
196,
140
] | 1,778 | |
9817 | [
{
"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 coordinates of point P in the Cartesian coordinate system are (2,4). The angle between OP and the positive x-axis is α. The value of sinα is ().\nChoices... | {"<|obj1|>":[0,0,195,195],"<|obj2|>":[89,0,195,131],"<|obj3|>":[171,147,195,180],"<|obj4|>":[16,0,49,25],"<|obj5|>":[0,0,195,195],"<|obj6|>":[0,0,195,195]} | [
196,
196
] | 2,638 | |
1391 | [
{
"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 given figure line segments a and b are parallel and angle 1 measures 73 degrees, what is the measurement of angle 2 in degrees?\nChoices:\nA: 73°\n... | {"<|obj1|>":[0,4,98,108],"<|obj2|>":[84,4,98,28],"<|obj3|>":[56,79,98,111],"<|obj4|>":[0,0,98,111],"<|obj5|>":[51,0,98,84]} | [
112,
112
] | 2,331 | |
975 | [
{
"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 straight lines a and b are intersected by the straight line c. If a is parallel to b and angle 1 is represented by the variable 'x' ... | {"<|obj1|>":[99,29,123,47],"<|obj2|>":[105,81,129,100],"<|obj3|>":[35,5,123,47],"<|obj4|>":[11,0,129,139],"<|obj5|>":[17,0,129,117]} | [
140,
140
] | 3,536 | |
242 | [
{
"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, with line segment a being parallel to line segment b and angle 1 equaling 52°, what is the measure of angle 2 in degrees?\nChoices:\nA: 52°\n... | {"<|obj1|>":[155,41,195,58],"<|obj2|>":[171,90,188,116],"<|obj3|>":[24,49,58,75],"<|obj4|>":[49,0,147,98],"<|obj5|>":[24,29,123,128]} | [
196,
140
] | 2,867 | |
1117 | [
{
"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 right triangle ABC with right angle at C and point D lying on AC, if DA = DB = 15 and the area of triangle ABD is 90, what is the length of side AC? Rep... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[0,0,167,83],"<|obj3|>":[0,0,167,83]} | [
168,
84
] | 3,180 | |
1283 | [
{
"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 an equilateral triangle paper ABC with a perimeter of 12, points E and F are trisecting points on side BC. If we make a cut through points E and F along t... | {"<|obj1|>":[0,0,167,139],"<|obj2|>":[0,105,21,133],"<|obj3|>":[0,105,28,139],"<|obj4|>":[140,105,167,133],"<|obj5|>":[70,70,119,126],"<|obj6|>":[17,0,167,139]} | [
168,
140
] | 4,046 | |
1447 | [
{
"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 ABC is depicted in the diagram with AD and BE as its medians and angle bisectors respectively. Given that AB is equal to AC and angle CAD is 20°, wh... | {"<|obj1|>":[0,0,83,75],"<|obj2|>":[14,0,83,111],"<|obj3|>":[0,0,83,111],"<|obj4|>":[9,0,83,111],"<|obj5|>":[0,0,83,90]} | [
84,
112
] | 1,908 | |
741 | [
{
"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, let's denote angle DBA as 'x' (x = 30°) and angle ADB as 'y' (y = 80°). If BD is the angle bisector of triangle ABC, what is the measure... | {"<|obj1|>":[0,0,83,83],"<|obj2|>":[0,0,83,83],"<|obj3|>":[10,0,74,83],"<|obj4|>":[7,0,70,83]} | [
84,
84
] | 3,341 | |
897 | [
{
"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 triangle ABC, segment MN runs parallel to side BC, intersecting sides AB and AC at points M and N respectively. With AM = 1.0, MB = 2.0, and BC = 3.0,... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[40,0,65,18],"<|obj3|>":[0,76,129,106],"<|obj4|>":[110,88,129,106],"<|obj5|>":[11,29,82,48],"<|obj6|>":[11,64,129,106],"<|obj7|>":[11,29,82,53],"<|obj8|>":[64,29,82,48],"<|obj9|>":[0,0,139,111],"<|obj10|>":[11,11,139,83],"<|obj11|>":[11,0,139,111],"<|obj12|>":[105,35,135,106],"<|obj... | [
140,
112
] | 2,483 | |
306 | [
{
"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 distance from point O to the three edges of triangle ABC is uniform and angle A is 40.0 degrees, what is the degree measure of angle BOC in the triang... | {"<|obj1|>":[11,0,129,111],"<|obj2|>":[29,52,100,101],"<|obj3|>":[5,0,129,111],"<|obj4|>":[23,52,105,95],"<|obj5|>":[5,29,94,106],"<|obj6|>":[11,47,123,106],"<|obj7|>":[29,8,100,80],"<|obj8|>":[10,16,95,101],"<|obj9|>":[11,0,129,106]} | [
140,
112
] | 3,039 | |
150 | [
{
"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 DE parallel to BC and the length ratio of AD to DB is 1:2. If the perimeter of triangle ADE is 9 units, w... | {"<|obj1|>":[14,65,89,103],"<|obj2|>":[4,0,111,98],"<|obj3|>":[28,28,94,52],"<|obj4|>":[9,88,28,98],"<|obj5|>":[65,0,94,108],"<|obj6|>":[4,70,66,108],"<|obj7|>":[65,14,80,24],"<|obj8|>":[65,0,94,47]} | [
112,
112
] | 1,453 | |
871 | [
{
"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 ABC with a 90-degree angle at B and side lengths AB = 12 units and BC = 5 units, point D moves along side AC. At point E, DE is perpendicular ... | {"<|obj1|>":[0,0,111,103],"<|obj2|>":[0,0,111,111],"<|obj3|>":[0,0,111,111],"<|obj4|>":[0,0,111,111],"<|obj5|>":[9,51,66,111]} | [
112,
112
] | 2,518 | |
1771 | [
{
"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 rhombus ABCD, E and F are the midpoints of AB and AC respectively. If EF = 8, then the perimeter of the rhombus ABCD is ()\nChoices:\nA: 96.0\nB: 64.0... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[4,23,61,80],"<|obj3|>":[51,23,80,80],"<|obj4|>":[28,4,103,83],"<|obj5|>":[4,9,70,75]} | [
112,
84
] | 1,744 | |
1336 | [
{
"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 expanded figure of the lateral surface of a cone forms a sector with a radius of 3.0 and a central angle of 90.0 degrees. What is... | {"<|obj1|>":[0,0,84,83],"<|obj2|>":[102,0,223,83]} | [
224,
84
] | 1,073 | |
1542 | [
{
"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 points on edges BC and AC respectively. If DE is connected and triangle EDC is similar to triangle ABC, and AE is 2 units... | {"<|obj1|>":[0,0,117,111],"<|obj2|>":[11,0,129,95],"<|obj3|>":[105,35,123,53],"<|obj4|>":[70,29,139,106],"<|obj5|>":[99,23,129,59],"<|obj6|>":[105,35,123,59]} | [
140,
112
] | 2,369 | |
1696 | [
{
"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 AD/DB = 1/2, if AE = 1 and EC is unknown, what is the length of EC?\nChoices:\nA: 0.5\nB: 1.0\nC: 1.5\nD... | {"<|obj1|>":[9,0,111,111],"<|obj2|>":[37,28,94,52],"<|obj3|>":[4,84,103,108]} | [
112,
112
] | 1,190 | |
421 | [
{
"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, when the ruler and the right triangle are placed as indicated, and angle 1 is determined to be 30.0 degrees, what is the degree measu... | {"<|obj1|>":[0,11,35,54],"<|obj2|>":[5,0,139,83],"<|obj3|>":[58,13,129,83],"<|obj4|>":[56,0,139,83],"<|obj5|>":[75,35,123,60]} | [
140,
84
] | 1,970 | |
1775 | [
{
"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 geometric figure, let's denote the measure of angle 1 as variable p, where p = 65°. What is the value of angle 2, represented by variable q, in ... | {"<|obj1|>":[64,82,129,111],"<|obj2|>":[0,8,70,80],"<|obj3|>":[75,88,88,106],"<|obj4|>":[58,29,100,111],"<|obj5|>":[35,5,82,111],"<|obj6|>":[64,52,94,111],"<|obj7|>":[35,41,105,111],"<|obj8|>":[11,0,123,106]} | [
140,
112
] | 3,316 | |
1676 | [
{
"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, C, and D are on circle O, C is the midpoint of arc AB, angle CDB = 25.0, and the degree of angle AOB is ()\nChoices:\nA:... | {"<|obj1|>":[0,0,89,98],"<|obj2|>":[0,60,28,84],"<|obj3|>":[84,60,108,75],"<|obj4|>":[42,88,56,108],"<|obj5|>":[70,4,108,33],"<|obj6|>":[42,32,70,52],"<|obj7|>":[9,28,66,84],"<|obj8|>":[28,28,108,75],"<|obj9|>":[13,31,81,99],"<|obj10|>":[60,4,111,103],"<|obj11|>":[4,60,94,108],"<|obj12|>":[4,56,47,108],"<|obj13|>":[0,3... | [
112,
112
] | 1,918 |