id string | image image | conversations list | regions string | image_size list | num_tokens int64 |
|---|---|---|---|---|---|
12 | [
{
"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 area of rhombus ABCD is 24 and the length of BD is 6, find the perimeter of rhombus ABCD, as shown in the figure where diagonal AC intersects ... | {"<|obj1|>":[0,0,139,167],"<|obj2|>":[0,14,139,167],"<|obj3|>":[0,0,139,167],"<|obj4|>":[49,77,133,161],"<|obj5|>":[7,0,139,167],"<|obj6|>":[0,7,91,133]} | [
140,
168
] | 2,635 | |
794 | [
{
"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, diamond ABCD is depicted with diagonals AC and BD intersecting at point O. If BD measures 6 units and AC measures 8 units, what is the total p... | {"<|obj1|>":[4,0,111,83],"<|obj2|>":[4,9,108,75],"<|obj3|>":[18,4,103,80],"<|obj4|>":[4,0,111,83]} | [
112,
84
] | 1,569 | |
1675 | [
{
"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 diagram featuring circle O, in which the diameter AB has a length of 15 units. Chord DE is perpendicular to AB at point C. Given that the ratio ... | {"<|obj1|>":[11,0,139,111],"<|obj2|>":[93,41,139,65],"<|obj3|>":[0,0,139,111],"<|obj4|>":[29,15,100,86]} | [
140,
112
] | 3,071 | |
1808 | [
{
"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 point E lies on the extension of segment BC in parallelogram ABCD, and angle DCE is 132°, what is the measure of angle A?\nChoices:\nA: 38°\nB: 48... | {"<|obj1|>":[0,0,195,111],"<|obj2|>":[171,7,195,24],"<|obj3|>":[89,87,123,104],"<|obj4|>":[78,0,195,111],"<|obj5|>":[57,0,195,88],"<|obj6|>":[8,0,195,111],"<|obj7|>":[81,0,180,98]} | [
196,
112
] | 2,157 | |
184 | [
{
"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 illustrating triangle ABC where AB equals 4 and AC equals 3, with AD and AE serving as its angle bisectors and medians respectively, a perpendi... | {"<|obj1|>":[5,11,135,111],"<|obj2|>":[0,35,70,111],"<|obj3|>":[81,0,139,111],"<|obj4|>":[64,35,105,101],"<|obj5|>":[64,5,111,101],"<|obj6|>":[35,41,105,111],"<|obj7|>":[58,76,94,101],"<|obj8|>":[11,58,59,83],"<|obj9|>":[64,88,88,101],"<|obj10|>":[5,35,65,106],"<|obj11|>":[52,88,76,111],"<|obj12|>":[0,82,76,111],"<|obj... | [
140,
112
] | 3,022 | |
281 | [
{
"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, BP is the angle bisector of ∠ABC, and CP is the exterior angle bisector of ∠ACB. If ∠ABP = 20.0 and ∠ACP = 50.0, what is the measure of ∠A?\... | {"<|obj1|>":[8,7,123,111],"<|obj2|>":[16,15,82,111],"<|obj3|>":[114,23,188,96],"<|obj4|>":[16,0,139,111],"<|obj5|>":[8,47,90,104],"<|obj6|>":[106,56,147,111],"<|obj7|>":[114,15,164,96],"<|obj8|>":[155,87,180,111],"<|obj9|>":[16,14,115,111]} | [
196,
112
] | 1,691 | |
1605 | [
{
"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, where three lines - a, b, and c - intersect at a common point, what is the total degree of angle 1, angle 2, and angle 3?\nChoices:\n... | {"<|obj1|>":[65,0,89,14],"<|obj2|>":[98,14,108,28],"<|obj3|>":[79,42,89,55],"<|obj4|>":[9,0,80,55],"<|obj5|>":[32,32,89,52],"<|obj6|>":[46,0,89,55],"<|obj7|>":[32,9,75,42]} | [
112,
56
] | 2,491 | |
1437 | [
{
"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 represent the degree measure of angle 2 as variable y. If angle 1 is equal to twice angle 2, what is the degree measure of angle 1... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[46,0,139,83],"<|obj3|>":[0,0,59,83],"<|obj4|>":[0,35,135,83]} | [
140,
84
] | 2,812 | |
260 | [
{
"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 representing triangle ABC, where angle ACB is a right angle (90 degrees) and the lengths of AC and BC are 3 and 4 units respectively, if an ar... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[11,88,35,106],"<|obj3|>":[11,11,35,106],"<|obj4|>":[99,0,139,111],"<|obj5|>":[29,0,139,111],"<|obj6|>":[39,5,124,90],"<|obj7|>":[64,8,135,80]} | [
140,
112
] | 2,882 | |
1387 | [
{
"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 DB is 4.0 units, what is the value of DE/BC?\nChoices:\nA: \\frac{2}{3}\nB: \\frac{1}{4}\nC: \\... | {"<|obj1|>":[60,0,89,33],"<|obj2|>":[28,32,98,52],"<|obj3|>":[51,0,108,56]} | [
112,
112
] | 1,433 | |
773 | [
{
"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, AD is the median of side BC, and CE is the median of side AD in triangle ACD. If the area of triangle ABC is 20, th... | {"<|obj1|>":[11,5,139,111],"<|obj2|>":[52,5,117,89],"<|obj3|>":[17,5,139,111],"<|obj4|>":[52,41,117,89]} | [
140,
112
] | 1,735 | |
958 | [
{
"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: Provided that AC and BD serve as the diagonals in parallelogram ABCD shown in the figure, where BC has a length of 3.0 and the height on the side of BC is 2.... | {"<|obj1|>":[0,0,195,111],"<|obj2|>":[0,0,195,111],"<|obj3|>":[0,7,172,104],"<|obj4|>":[0,79,49,111],"<|obj5|>":[0,0,195,111],"<|obj6|>":[0,0,195,111],"<|obj7|>":[0,0,195,111],"<|obj8|>":[8,0,195,111],"<|obj9|>":[8,0,195,111]} | [
196,
112
] | 1,973 | |
670 | [
{
"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 parallel CD, CB perpendicular DB, angle D = 65.0, then the size of angle ABC is ()\nChoices:\nA: 25°\nB: 35°\nC: 50°\nD: 65°.\nP... | {"<|obj1|>":[0,0,111,55],"<|obj2|>":[0,0,75,24],"<|obj3|>":[4,28,94,55],"<|obj4|>":[0,0,111,55],"<|obj5|>":[23,0,103,55],"<|obj6|>":[4,0,98,55],"<|obj7|>":[51,9,89,55],"<|obj8|>":[65,9,89,24],"<|obj9|>":[28,9,94,52],"<|obj10|>":[28,4,103,55]} | [
112,
56
] | 1,579 | |
1619 | [
{
"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, it is noted that line AB runs parallel to line CD. Points E and F indicate the intersections of line EF with lines AB and CD respect... | {"<|obj1|>":[28,46,178,103],"<|obj2|>":[65,0,223,111],"<|obj3|>":[196,18,223,38],"<|obj4|>":[0,65,223,111],"<|obj5|>":[28,0,140,103],"<|obj6|>":[84,0,168,47],"<|obj7|>":[28,0,223,111]} | [
224,
112
] | 2,989 | |
1631 | [
{
"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 triangle ABC is congruent to triangle DEF, angle A measures 80°, and angle B measures 60°, what is the measure of angle F?\nChoices:\nA: 30°\nB: 4... | {"<|obj1|>":[0,7,77,55],"<|obj2|>":[84,35,161,55],"<|obj3|>":[7,0,42,35],"<|obj4|>":[0,28,14,49],"<|obj5|>":[56,35,77,55],"<|obj6|>":[105,0,161,55],"<|obj7|>":[84,42,98,55],"<|obj8|>":[147,35,161,55]} | [
168,
56
] | 1,525 | |
1693 | [
{
"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 intersection of straight lines 'm' and 'n' at point O, what is the measure of angle 2 when angle 1 is 35.0? Represent the measure of angle 2 as 'w'... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[0,0,111,83],"<|obj3|>":[0,0,94,83],"<|obj4|>":[0,0,98,83],"<|obj5|>":[65,0,108,66]} | [
112,
84
] | 1,500 | |
1038 | [
{
"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 length of DE is known to be 18m, what is the length of line AB if point C is taken on the same side of line AB to measure the distance between points ... | {"<|obj1|>":[0,0,167,167],"<|obj2|>":[0,21,167,161],"<|obj3|>":[0,119,161,161]} | [
168,
168
] | 2,351 | |
1382 | [
{
"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 points A, B, and C lie on circle O and angle BOC measures 130 degrees, what is the measure of angle A?\nChoices:\nA: 65°\nB: 60°\nC: 55°\nD: 50°.\nPlease ... | {"<|obj1|>":[4,0,111,111],"<|obj2|>":[42,4,66,24],"<|obj3|>":[4,46,28,70],"<|obj4|>":[88,65,103,89],"<|obj5|>":[9,0,98,103]} | [
112,
112
] | 1,640 | |
1772 | [
{
"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: At 9.0 in the morning, a boat starts from point A and sails northward at a speed of 10.0 nautical miles/hour, and arrives at point B at 11.0. Looking at ligh... | {"<|obj1|>":[3,45,21,83],"<|obj2|>":[3,10,42,83],"<|obj3|>":[35,3,49,21]} | [
56,
84
] | 2,793 | |
540 | [
{
"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 line AB intersects line CD at point O and ray OM bisects angle AOC, what is the value of angle MOC if angle AOD is 104°?\nChoices:\nA: 38°\nB: 37°\nC: 36°... | {"<|obj1|>":[84,51,103,75],"<|obj2|>":[42,51,98,108],"<|obj3|>":[0,0,111,111],"<|obj4|>":[4,14,38,47],"<|obj5|>":[14,4,98,108],"<|obj6|>":[4,0,111,111]} | [
112,
112
] | 2,232 | |
56 | [
{
"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, point A and point B are positioned on line l1, while point C and point D are positioned on line l2. The lines l1 and l2 are parallel.... | {"<|obj1|>":[116,5,139,30],"<|obj2|>":[75,59,139,83],"<|obj3|>":[0,0,129,54],"<|obj4|>":[75,0,105,36],"<|obj5|>":[29,59,88,83],"<|obj6|>":[75,59,94,83],"<|obj7|>":[29,11,53,72],"<|obj8|>":[35,13,105,83]} | [
140,
84
] | 1,564 | |
1650 | [
{
"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 side AB in diamond ABCD measures 5 units and side AC measures 8 units, what would be the area of the diamond?\nChoices:\nA: 40\nB: 20\nC: 48\nD: 24.\nPlea... | {"<|obj1|>":[0,0,195,167],"<|obj2|>":[16,0,195,167],"<|obj3|>":[24,0,195,152]} | [
196,
168
] | 1,835 | |
204 | [
{
"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 large parasol can be approximately regarded as a conical shape when the surface of umbrella is stretched. As shown in the figure, the length of its generat... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[52,0,139,71],"<|obj3|>":[58,5,105,53],"<|obj4|>":[0,58,82,111]} | [
140,
112
] | 1,574 | |
770 | [
{
"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, where DE serves as the perpendicular bisector of AC. If AC has a measurement of 6.0 units and the perimeter o... | {"<|obj1|>":[8,15,98,111],"<|obj2|>":[106,23,147,111],"<|obj3|>":[16,0,195,111],"<|obj4|>":[40,0,107,40],"<|obj5|>":[106,71,123,111],"<|obj6|>":[0,0,82,88],"<|obj7|>":[0,63,49,104],"<|obj8|>":[0,47,49,111],"<|obj9|>":[0,0,195,111],"<|obj10|>":[65,0,82,24],"<|obj11|>":[114,23,147,48]} | [
196,
112
] | 3,911 | |
1154 | [
{
"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 points A, B, and C all lie on circle O and angle C is 50.0 degrees, what is the measure of angle OAB?\nChoices:\nA: 50°\nB: 40°\nC: 25°\nD: 100°.\... | {"<|obj1|>":[9,0,111,111],"<|obj2|>":[60,84,98,111],"<|obj3|>":[9,84,42,108],"<|obj4|>":[0,4,56,61],"<|obj5|>":[14,14,103,108],"<|obj6|>":[14,14,108,103],"<|obj7|>":[23,0,103,111]} | [
112,
112
] | 1,831 | |
5319 | [
{
"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 area of the diamond-shaped flower bed shown in the figure is 12 square meters, and a pathway is constructed with a length of 4 meters along the diagon... | {"<|obj1|>":[0,0,223,112],"<|obj2|>":[9,0,223,139],"<|obj3|>":[9,0,223,139]} | [
224,
140
] | 2,123 | |
1188 | [
{
"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 B in quadrilateral ABCD, which is inscribed in circle O, measures 72°, what is the degree measure of angle D?\nChoices:\nA: 18°\nB: 72°\nC: 100°\nD:... | {"<|obj1|>":[0,0,139,167],"<|obj2|>":[14,21,139,167],"<|obj3|>":[14,0,139,161]} | [
140,
168
] | 1,431 | |
677 | [
{
"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 ABC is inscribed in circle O where AB is the diameter and CD is a chord. If angle ADC measures 55.0 degrees, determine the meas... | {"<|obj1|>":[0,0,139,123],"<|obj2|>":[11,0,135,135],"<|obj3|>":[29,40,135,135],"<|obj4|>":[58,0,100,30],"<|obj5|>":[52,105,70,135],"<|obj6|>":[40,52,82,105],"<|obj7|>":[11,0,135,135],"<|obj8|>":[11,5,123,123],"<|obj9|>":[29,11,123,111],"<|obj10|>":[11,11,135,123],"<|obj11|>":[11,0,135,123],"<|obj12|>":[23,5,123,59],"<|... | [
140,
140
] | 3,116 | |
1908 | [
{
"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 OAC in triangle ABC measures 40° and O is the center of the incircle, what is the degree of angle BOC?\nChoices:\nA: 80°\nB: 100°\nC: 130°\nD: 140°.... | {"<|obj1|>":[7,0,83,55],"<|obj2|>":[6,0,57,51]} | [
84,
56
] | 2,014 | |
14663 | [
{
"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, it is known that AB=AC, AB=10, BC=6. Taking points A and B as the centers, arcs with a length greater than 0.5×AB are drawn. The two ... | {"<|obj1|>":[17,0,139,139],"<|obj2|>":[0,0,94,94],"<|obj3|>":[45,56,130,139],"<|obj4|>":[35,23,129,135]} | [
140,
140
] | 2,049 | |
1454 | [
{
"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 diamond ABCD, the points E and F are the midpoints of AB and AC respectively. If EF = 4.0, the length of AD is ()\nChoices:\nA... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[14,0,63,77],"<|obj3|>":[70,28,105,56]} | [
168,
84
] | 1,524 | |
768 | [
{
"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 city government is planning to construct an overpass with a height AB of 24.0. It is known that angle ACB is the angle between the s... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[11,0,111,83],"<|obj3|>":[0,0,111,83],"<|obj4|>":[0,65,42,83]} | [
112,
84
] | 1,651 | |
1931 | [
{
"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, ABparallel ED and CDparallel EF. If angle 1 = 145°, then the degree of angle 2 is ().\nChoices:\nA: 35°\nB: 40°\nC: 45°\nD: 60°.\nPle... | {"<|obj1|>":[29,0,139,139],"<|obj2|>":[35,75,65,111],"<|obj3|>":[5,0,129,65],"<|obj4|>":[64,64,135,135],"<|obj5|>":[35,0,139,135],"<|obj6|>":[70,110,94,139]} | [
140,
140
] | 4,258 | |
671 | [
{
"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 inscribed in circle O with angle BOC measuring 80.0 degrees. Determine the measure of angle A. Let the measure of angle... | {"<|obj1|>":[28,9,83,66],"<|obj2|>":[4,4,80,111],"<|obj3|>":[23,0,83,103],"<|obj4|>":[4,0,80,103]} | [
84,
112
] | 1,837 | |
378 | [
{
"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, AD is the median on side BC. CE is the median on side AD in triangle ACD. If the area of triangle ABC is 20, then t... | {"<|obj1|>":[5,0,139,111],"<|obj2|>":[11,5,117,95],"<|obj3|>":[0,38,70,109],"<|obj4|>":[58,41,129,111],"<|obj5|>":[17,0,139,111],"<|obj6|>":[17,0,129,111],"<|obj7|>":[11,11,117,89],"<|obj8|>":[38,13,137,111]} | [
140,
112
] | 4,378 | |
192 | [
{
"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 image, the areas of two squares are 25 and 169. What area is denoted by letter B?\nChoices:\nA: 12\nB: 13\nC: 144\nD: 194.\nPlease answer the question... | {"<|obj1|>":[4,0,111,47],"<|obj2|>":[0,0,111,111],"<|obj3|>":[70,32,111,75],"<|obj4|>":[0,0,111,111]} | [
112,
112
] | 2,014 | |
350 | [
{
"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 scenario, when the triangular ruler is projected from its center under light, it forms a similar figure to the original ruler. The similarity ra... | {"<|obj1|>":[57,0,188,83],"<|obj2|>":[8,42,33,59],"<|obj3|>":[130,25,195,83]} | [
196,
84
] | 1,441 | |
476 | [
{
"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 indicated in the figure, the strongest typhoon \"Mangosteen\" in 2018 landed in Shenzhen, Guangdong at 11 AM on the morning of the 16th. This caused signi... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[0,0,111,83],"<|obj3|>":[9,65,70,83],"<|obj4|>":[14,0,111,83]} | [
112,
84
] | 2,176 | |
1888 | [
{
"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 where points D and E lie on line segment AB and AC, respectively, and DE is parallel to BC, determine the length of AD given that AE/CE = 3... | {"<|obj1|>":[42,9,98,66],"<|obj2|>":[14,0,98,103],"<|obj3|>":[88,60,98,84],"<|obj4|>":[18,46,98,84],"<|obj5|>":[84,93,103,108]} | [
112,
112
] | 1,374 | |
812 | [
{
"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 a, where a = 36 degrees. What is the degree measure of angle 2, expressed as variable b in relation... | {"<|obj1|>":[0,21,161,91],"<|obj2|>":[0,0,147,111],"<|obj3|>":[14,0,91,98]} | [
168,
112
] | 2,206 | |
363 | [
{
"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 figure with a central angle BOC denoted by 'A' (A = 78.0), establish the measure of the angle of the circle BAC. Express the measure as 'B' in terms ... | {"<|obj1|>":[0,0,66,47],"<|obj2|>":[88,28,108,42],"<|obj3|>":[4,84,24,111],"<|obj4|>":[60,84,89,111],"<|obj5|>":[23,9,84,89],"<|obj6|>":[4,4,111,108]} | [
112,
112
] | 2,122 | |
1287 | [
{
"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 diagram, person A departs from point A and moves in the north-northeast direction (65°), subsequently reaching point B. At the same time, per... | {"<|obj1|>":[14,0,119,154],"<|obj2|>":[91,63,140,91],"<|obj3|>":[0,7,133,167],"<|obj4|>":[126,0,161,49]} | [
168,
168
] | 2,670 | |
1428 | [
{
"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 has AD as its median and E is the midpoint of AD. If the area of triangle ABC is known to be 12, what is the exact area... | {"<|obj1|>":[17,0,135,139],"<|obj2|>":[35,5,135,117],"<|obj3|>":[35,58,82,111],"<|obj4|>":[11,5,129,123],"<|obj5|>":[58,116,82,139],"<|obj6|>":[11,0,129,123],"<|obj7|>":[35,0,139,139]} | [
140,
140
] | 4,161 | |
464 | [
{
"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, angle AOB measures 30°, angle COB measures 20°, and OC bisects angle AOD. Determine the measure of angle BOD in degrees.\nChoices:\nA: 6... | {"<|obj1|>":[0,5,71,76],"<|obj2|>":[35,23,53,35],"<|obj3|>":[52,35,89,59],"<|obj4|>":[76,64,101,82],"<|obj5|>":[35,64,101,135],"<|obj6|>":[11,5,89,70],"<|obj7|>":[64,35,106,105],"<|obj8|>":[29,5,95,123],"<|obj9|>":[35,35,101,117],"<|obj10|>":[29,5,101,123],"<|obj11|>":[29,35,101,135]} | [
112,
140
] | 2,163 | |
646 | [
{
"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, the perpendicular bisector of AB intersects AB and BC at points D and E respectively. Connect AE. If AE = 4 and EC =... | {"<|obj1|>":[106,16,180,108],"<|obj2|>":[40,37,139,136],"<|obj3|>":[8,0,195,139],"<|obj4|>":[73,90,172,132],"<|obj5|>":[81,0,188,139],"<|obj6|>":[73,82,188,124],"<|obj7|>":[0,82,131,132],"<|obj8|>":[73,0,195,132]} | [
196,
140
] | 2,146 | |
489 | [
{
"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 line AB is tangent to circle O at point B, and AO measures 6.0 while AB measures 4.0, what is the radius of circle O?\nChoices:\nA: 4√{5}cm\nB: 2√... | {"<|obj1|>":[35,23,123,77],"<|obj2|>":[0,82,100,111]} | [
140,
112
] | 1,457 | |
1292 | [
{
"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's denote the length of BD as variable x, and the length of DC as variable y. If x = 2 and y = 1, and the area of triangle ACD is 12, wha... | {"<|obj1|>":[17,0,139,83],"<|obj2|>":[75,17,100,83],"<|obj3|>":[75,11,135,78],"<|obj4|>":[5,59,70,78],"<|obj5|>":[23,0,135,83],"<|obj6|>":[81,17,105,42]} | [
140,
84
] | 2,411 | |
1641 | [
{
"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 has diameter AB and AP is a tangent line at point A, with angle BAC measuring 58°, what is the measure of angle P in the diagram?\nChoices:\nA: 2... | {"<|obj1|>":[0,35,21,105],"<|obj2|>":[0,0,139,167],"<|obj3|>":[21,112,70,147],"<|obj4|>":[0,0,139,167],"<|obj5|>":[91,98,133,167],"<|obj6|>":[21,21,139,167],"<|obj7|>":[0,56,84,140],"<|obj8|>":[0,14,139,167],"<|obj9|>":[0,21,126,161]} | [
140,
168
] | 1,756 | |
1889 | [
{
"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 represent angle 1 as variable a where a = 52°. If line l1 is parallel to line l2, what is the value of angle 2, denoted as var... | {"<|obj1|>":[98,23,111,42],"<|obj2|>":[4,70,24,80],"<|obj3|>":[9,0,70,83],"<|obj4|>":[0,0,98,83],"<|obj5|>":[4,0,98,83]} | [
112,
84
] | 1,915 | |
1167 | [
{
"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 OE bisects angle AOB and CD is parallel to OB, with CD intersecting OA at point C and OE at point D, if angle ACD equals 50 degrees, ... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[23,0,98,89],"<|obj3|>":[28,42,94,70],"<|obj4|>":[98,88,111,111],"<|obj5|>":[23,0,98,108]} | [
112,
112
] | 2,046 | |
179 | [
{
"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 diagram depicts triangle ABC with angle ACB measuring 90°, and AD bisects angle BAC, what is the length of BD if BC measures 8cm and AC measures 6cm?\... | {"<|obj1|>":[14,0,167,167],"<|obj2|>":[63,0,167,167],"<|obj3|>":[7,119,112,167],"<|obj4|>":[119,0,161,161],"<|obj5|>":[70,133,105,167],"<|obj6|>":[49,7,154,154],"<|obj7|>":[77,49,154,140]} | [
168,
168
] | 2,686 | |
980 | [
{
"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 the central angle AOB as variable u where u = 70.0 degrees. What is the degree measure of the circumference angle ACB, ... | {"<|obj1|>":[0,0,103,84],"<|obj2|>":[23,14,108,111],"<|obj3|>":[4,4,111,111],"<|obj4|>":[23,9,111,111]} | [
112,
112
] | 1,821 | |
824 | [
{
"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 diagram shows triangle ABC with AB equal to AC. Point D is the foot of the perpendicular from A to BC, and point E is the midpoint of side AC. If DE meas... | {"<|obj1|>":[0,0,167,139],"<|obj2|>":[63,105,98,139],"<|obj3|>":[105,42,126,77],"<|obj4|>":[105,42,126,77]} | [
168,
140
] | 1,676 | |
35 | [
{
"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 a sector with a radius of 9.0 and a central angle of 120.0 is transformed into a cone (without overlap), as depicted in the figure, what will be the mea... | {"<|obj1|>":[0,0,83,70],"<|obj2|>":[0,0,83,83]} | [
84,
84
] | 1,511 | |
639 | [
{
"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, there is a point P moving on side BC. If AB = AC = 10 and BC = 12, what is the minimum value of AP?\nChoices:\nA: 9.6\nB: 10.0\nC: 8.0\nD: 6... | {"<|obj1|>":[10,0,83,55],"<|obj2|>":[7,31,67,55],"<|obj3|>":[7,0,83,55]} | [
84,
56
] | 2,405 | |
11422 | [
{
"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, line a and line b are intersected by line l, and a is parallel to b. If angle 1 = 60°, then the degree of angle 2 is ().\nChoices:\nA... | {"<|obj1|>":[70,3,139,74],"<|obj2|>":[23,0,139,106],"<|obj3|>":[11,17,76,42],"<|obj4|>":[0,38,70,109],"<|obj5|>":[64,3,135,74]} | [
140,
112
] | 2,094 | |
411 | [
{
"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 DCE measures 132° in parallelogram ABCD, and point E lies on the extension of segment BC, what is the degree measure of angle A?\nChoices:\nA: 38°\n... | {"<|obj1|>":[0,0,195,111],"<|obj2|>":[171,7,195,24],"<|obj3|>":[89,87,131,111],"<|obj4|>":[78,0,195,111],"<|obj5|>":[16,7,131,104],"<|obj6|>":[40,0,164,104],"<|obj7|>":[8,71,123,104],"<|obj8|>":[89,87,123,104],"<|obj9|>":[8,0,195,111],"<|obj10|>":[78,0,195,111],"<|obj11|>":[8,0,195,111],"<|obj12|>":[73,0,195,88]} | [
196,
112
] | 3,812 | |
592 | [
{
"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 demonstrated in the figure, a sector piece of paper is given with a central angle measuring 90 degrees and a radius of 8.0. This sector is utilized to wra... | {"<|obj1|>":[0,0,66,68],"<|obj2|>":[16,0,195,83]} | [
196,
84
] | 1,642 | |
79 | [
{
"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 given figure displays diamond ABCD, which has a perimeter of 24.0. Diagonals AC and BD intersect at point O, and E lies on the midpoint of AD. What is th... | {"<|obj1|>":[0,0,135,83],"<|obj2|>":[5,0,94,78],"<|obj3|>":[5,59,30,78],"<|obj4|>":[52,29,76,66],"<|obj5|>":[46,0,117,36],"<|obj6|>":[75,0,100,18]} | [
140,
84
] | 1,788 | |
1262 | [
{
"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, line a is parallel to line b, and line c is an intercept. If angle 1 is represented by the variable x (x = 60°), what is the measure of ... | {"<|obj1|>":[93,14,111,33],"<|obj2|>":[84,46,98,61],"<|obj3|>":[0,0,94,83],"<|obj4|>":[0,0,111,83],"<|obj5|>":[0,0,111,83]} | [
112,
84
] | 3,092 | |
730 | [
{
"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 rectangle ABCD, where AB = 2 and BC = 3, point E is the midpoint of AD and CF is perpendicular to BE at point F. What is the value of CF express... | {"<|obj1|>":[0,0,111,75],"<|obj2|>":[28,14,111,83]} | [
112,
84
] | 3,002 | |
1997 | [
{
"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, let's denote the length of side AB of rhombus ABCD as variable x. Given that AO = 4 and BO = 3, what is the value of x?\nChoices:\nA: 1... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[0,0,103,111],"<|obj3|>":[0,0,111,111],"<|obj4|>":[14,4,108,89],"<|obj5|>":[9,9,108,98],"<|obj6|>":[0,0,111,111]} | [
112,
112
] | 2,338 | |
1322 | [
{
"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, if the line segment BC represents the diameter of circle O and measures 6.0, and point A lies on circle O with angle C measuring 30.0, w... | {"<|obj1|>":[0,5,139,105],"<|obj2|>":[5,5,135,139],"<|obj3|>":[5,17,135,135],"<|obj4|>":[29,17,135,139],"<|obj5|>":[81,105,117,135],"<|obj6|>":[29,23,123,135]} | [
140,
140
] | 2,099 | |
1738 | [
{
"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 given diagram, two straight lines, 'line segment p' and 'line segment q', are crossed by three parallel lines 'line a', 'line b', and 'line c', le... | {"<|obj1|>":[0,0,167,111],"<|obj2|>":[19,11,121,111],"<|obj3|>":[19,11,121,111],"<|obj4|>":[21,0,119,111],"<|obj5|>":[56,28,119,70],"<|obj6|>":[28,35,119,111]} | [
168,
112
] | 1,988 | |
95 | [
{
"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 of triangle ABC, where DE runs parallel to BC and the length ratio of AD to DB is 1:2, what is the perimeter of triangle ABC if the perimet... | {"<|obj1|>":[14,4,84,108],"<|obj2|>":[9,0,98,103],"<|obj3|>":[28,28,94,52],"<|obj4|>":[4,79,28,98],"<|obj5|>":[0,0,98,111],"<|obj6|>":[0,65,47,111]} | [
112,
112
] | 2,550 | |
114 | [
{
"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 showing triangle ABF with an area of 2, if point D is located arbitrarily on side AB, and points E and F respectively represent the midpoint... | {"<|obj1|>":[5,0,107,83],"<|obj2|>":[0,0,167,83],"<|obj3|>":[14,49,56,77],"<|obj4|>":[39,0,157,83],"<|obj5|>":[14,42,63,83],"<|obj6|>":[0,0,167,83]} | [
168,
84
] | 2,757 | |
1058 | [
{
"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 diagram depicts triangle ABC with CE serving as the bisector for the exterior angle ACD. If angle B is 35 degrees and angle ACE is measured at 60 degrees... | {"<|obj1|>":[18,9,112,111],"<|obj2|>":[121,0,178,94],"<|obj3|>":[121,9,178,84],"<|obj4|>":[112,0,187,111],"<|obj5|>":[18,0,159,66],"<|obj6|>":[9,65,66,111],"<|obj7|>":[121,46,159,94]} | [
224,
112
] | 2,795 | |
13856 | [
{
"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, AB is perpendicular to AC. A perpendicular line AD is drawn from point A to BC, and it intersects BC at point D. If ... | {"<|obj1|>":[13,0,148,111],"<|obj2|>":[35,0,119,84],"<|obj3|>":[77,7,161,91],"<|obj4|>":[77,7,126,49],"<|obj5|>":[0,63,105,111],"<|obj6|>":[0,0,167,111],"<|obj7|>":[67,0,167,101],"<|obj8|>":[112,14,167,111],"<|obj9|>":[67,0,167,101],"<|obj10|>":[49,7,167,105],"<|obj11|>":[0,0,167,77],"<|obj12|>":[7,0,154,84],"<|obj13|>... | [
168,
112
] | 1,889 | |
1186 | [
{
"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|>":[0,0,111,139],"<|obj2|>":[29,105,106,139],"<|obj3|>":[0,0,111,135],"<|obj4|>":[8,40,80,111]} | [
112,
140
] | 2,070 | |
10705 | [
{
"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 diamond ABCD, the diagonal AC and BD intersect at point O, if OA = 4.0, OB = 3.0, then the perimeter of the diamond ABCD is ()... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[17,11,129,101],"<|obj3|>":[0,0,139,111],"<|obj4|>":[11,11,139,111],"<|obj5|>":[35,52,129,111]} | [
140,
112
] | 1,502 | |
538 | [
{
"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 measures 15 units, BC measures 12 units, CD measures 16 units, AD measures 25 units, and angle C measures 90 degrees in quadrilateral ABCD, what is the... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[14,9,108,108],"<|obj3|>":[9,0,111,108]} | [
112,
112
] | 3,875 | |
1487 | [
{
"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 line AB intersects with CD at point O, and angle BOD is 50°, what is the measure of angle AOM when ray OM bisects angle BOD in the figure?\nChoice... | {"<|obj1|>":[0,49,161,77],"<|obj2|>":[119,91,140,111],"<|obj3|>":[42,0,140,111],"<|obj4|>":[91,63,154,111],"<|obj5|>":[0,0,167,111],"<|obj6|>":[91,42,147,91],"<|obj7|>":[28,0,167,111]} | [
168,
112
] | 2,372 | |
736 | [
{
"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 measures 130 degrees in the given diagram, and points A, B, and C are on circle O, what is the degree measure of angle A?\nChoices:\nA: 65°\nB: ... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[14,0,111,111],"<|obj3|>":[23,0,94,103]} | [
112,
112
] | 1,299 | |
1269 | [
{
"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 an inscribed triangle of circle O. If angle ABC is represented by the variable 'x' (x = 60°), what is the measure of an... | {"<|obj1|>":[0,0,195,167],"<|obj2|>":[0,0,195,167],"<|obj3|>":[16,15,172,144],"<|obj4|>":[19,0,195,167]} | [
196,
168
] | 4,307 | |
46 | [
{
"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 perimeter of triangle BOC in the parallelogram ABCD, given that BC is 10.0 units, AC is 8.0 units, and BD is 14.0 units?\nChoices:\nA: 21\nB: 22\... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[35,0,161,83],"<|obj3|>":[14,21,126,83],"<|obj4|>":[70,35,91,63],"<|obj5|>":[35,21,147,83],"<|obj6|>":[98,49,119,83],"<|obj7|>":[98,21,147,83]} | [
168,
84
] | 1,124 | |
493 | [
{
"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, if lines AB, CD, and MN intersect at point O, and angle 1 is 22.0 degrees and angle 2 is 46.0 degrees, what is the measure of angle 3?\n... | {"<|obj1|>":[4,0,108,47],"<|obj2|>":[0,0,111,55],"<|obj3|>":[9,4,108,33],"<|obj4|>":[32,0,89,55],"<|obj5|>":[9,0,111,55],"<|obj6|>":[11,0,111,55],"<|obj7|>":[14,0,111,55]} | [
112,
56
] | 3,845 | |
425 | [
{
"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 given, where point D lies on the arc AC that is circumscribed by triangle ABC. Assuming AB is equal to AC and angle CAB measures 50.0 deg... | {"<|obj1|>":[0,9,94,111],"<|obj2|>":[4,4,98,111],"<|obj3|>":[84,42,103,75]} | [
112,
112
] | 1,757 | |
1311 | [
{
"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, AB represents the diameter of circle O, and CD represents a non-coincident chord (where point C and point D lie on opposite sides of di... | {"<|obj1|>":[0,7,119,161],"<|obj2|>":[0,63,84,147],"<|obj3|>":[0,0,167,167],"<|obj4|>":[70,49,98,63],"<|obj5|>":[0,49,84,154],"<|obj6|>":[147,35,167,133],"<|obj7|>":[105,7,140,35],"<|obj8|>":[91,133,112,161],"<|obj9|>":[14,0,167,167],"<|obj10|>":[42,7,161,147]} | [
168,
168
] | 1,671 | |
1941 | [
{
"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, if ∠ACB measures 90° and AB measures 5, while BC measures 4, what construction should be applied to determine the perimeter of triangle... | {"<|obj1|>":[0,0,139,139],"<|obj2|>":[0,0,139,139],"<|obj3|>":[93,11,135,123],"<|obj4|>":[42,21,139,119],"<|obj5|>":[11,99,53,139],"<|obj6|>":[40,17,111,100],"<|obj7|>":[11,17,30,59],"<|obj8|>":[11,0,139,139],"<|obj9|>":[0,0,139,139]} | [
140,
140
] | 4,984 | |
870 | [
{
"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, points A and B are separated by a pond. Choose a point C outside AB, and connect AC and BC. Take the midpoints of AC and BC as D and E ... | {"<|obj1|>":[77,0,167,139],"<|obj2|>":[7,49,91,133],"<|obj3|>":[0,0,167,139],"<|obj4|>":[63,112,84,133],"<|obj5|>":[0,49,84,133],"<|obj6|>":[0,105,21,133]} | [
168,
140
] | 2,602 | |
1170 | [
{
"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 given figure illustrates triangle ABC with points D, E, and F as the midpoints of sides AB, AC, and BC. If AC and BC are 8 and 6, what is the area of qua... | {"<|obj1|>":[0,0,195,139],"<|obj2|>":[16,8,195,139],"<|obj3|>":[16,16,98,139],"<|obj4|>":[89,37,188,136],"<|obj5|>":[81,82,139,139]} | [
196,
140
] | 3,477 | |
1834 | [
{
"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, DEparallel BC,AD:AB=1.0:3.0,DE=4.0, then the length of BC is ()\nChoices:\nA: 16\nB: 15\nC: 12\nD: 8.\nPlease answer... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[35,29,117,53],"<|obj3|>":[5,88,135,111],"<|obj4|>":[56,11,139,95]} | [
140,
112
] | 2,297 | |
1504 | [
{
"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 showing ABCD, where AB measures 6 units and BC measures 10 units, the perpendicular bisector of AC intersects AD at point E. When connectin... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[49,0,133,83],"<|obj3|>":[49,0,167,83],"<|obj4|>":[49,0,133,83]} | [
168,
84
] | 2,325 | |
1579 | [
{
"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, A, B, and C are three points on circle O. If angle B = 32°, then angle OAC = ()\nChoices:\nA: 64°\nB: 58°\nC: 68°\nD: 55°.\nPlease a... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[65,0,89,24],"<|obj3|>":[9,23,33,33],"<|obj4|>":[88,28,108,47],"<|obj5|>":[9,0,111,83],"<|obj6|>":[14,0,111,83],"<|obj7|>":[9,0,111,83]} | [
112,
84
] | 1,746 | |
1984 | [
{
"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, a drain pipe's cross-sectional area is depicted. Given the radius of the central cross-sectional section OB as 'r' units (r = 10.0), and the ... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[32,18,70,66],"<|obj3|>":[4,0,111,111]} | [
112,
112
] | 2,660 | |
124 | [
{
"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 provided shows triangle ABC with angle bisectors for angles ABC and ACB intersecting at point O, and angle bisectors for angles ACF and ABC inters... | {"<|obj1|>":[14,0,147,126],"<|obj2|>":[35,0,119,84],"<|obj3|>":[126,14,161,49],"<|obj4|>":[14,14,133,84],"<|obj5|>":[14,0,147,133],"<|obj6|>":[35,0,119,84],"<|obj7|>":[91,7,167,133],"<|obj8|>":[7,0,167,126],"<|obj9|>":[12,19,114,121]} | [
168,
140
] | 3,366 | |
181 | [
{
"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 AB is the diameter of circle O, and CD is a chord of the same circle, and angle ABD measures 65.0 degrees, what is the measure of angle BCD?\nChoices:\n... | {"<|obj1|>":[7,0,84,133],"<|obj2|>":[0,42,84,126],"<|obj3|>":[119,7,161,63],"<|obj4|>":[7,0,167,139],"<|obj5|>":[98,14,167,119]} | [
168,
140
] | 1,543 | |
1488 | [
{
"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 points A, B, and C be positioned on circle O, and angle BAC measure 26°. If a tangent line passing through point C intersects th... | {"<|obj1|>":[56,0,167,139],"<|obj2|>":[133,0,154,133],"<|obj3|>":[14,42,98,126],"<|obj4|>":[63,105,84,126],"<|obj5|>":[14,7,167,133],"<|obj6|>":[63,91,105,126],"<|obj7|>":[0,0,167,139]} | [
168,
140
] | 2,662 | |
986 | [
{
"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, consider the rhombus ABCD with AC measuring 8.0 units and BD measuring 6.0 units. What is the length of a side of the rhombus? Express the le... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[5,5,135,111],"<|obj3|>":[0,0,135,111],"<|obj4|>":[64,41,105,59],"<|obj5|>":[0,0,123,106],"<|obj6|>":[29,17,135,111]} | [
140,
112
] | 2,023 | |
1386 | [
{
"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 where triangle ABC is inscribed within circle O and angle ABO is measured at 40 degrees, what is the measure of angle ACB?\nChoices:\nA: 40°\n... | {"<|obj1|>":[11,0,139,139],"<|obj2|>":[11,0,139,139],"<|obj3|>":[35,17,135,135],"<|obj4|>":[11,5,135,139],"<|obj5|>":[35,11,135,135],"<|obj6|>":[35,11,135,135]} | [
140,
140
] | 3,006 | |
1384 | [
{
"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, where MN is the chord of circle O and angle M is equal to 50.0 degrees, what is the measure of angle MON?\nChoices:\nA: 50°\nB: 55°\n... | {"<|obj1|>":[0,0,111,66],"<|obj2|>":[0,14,108,111],"<|obj3|>":[9,0,103,111],"<|obj4|>":[14,0,103,111]} | [
112,
112
] | 1,733 | |
1805 | [
{
"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 congruent to triangle BAD. Points A and B correspond to points C and D respectively. Given that AB measures 6.0 cm, ... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[60,4,111,83],"<|obj3|>":[14,0,111,83],"<|obj4|>":[4,18,61,75]} | [
112,
84
] | 2,120 | |
1681 | [
{
"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, AB represents the diameter of circle O, and CD is a chord of circle O. If angle ADC measures 54.0 degrees, calculate the degree measure... | {"<|obj1|>":[14,4,98,70],"<|obj2|>":[4,9,111,83],"<|obj3|>":[42,9,108,83],"<|obj4|>":[14,4,103,42],"<|obj5|>":[46,4,89,24]} | [
112,
84
] | 1,239 | |
1981 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the final answer at the end.\nQuestion: Elaborate on what is shown in the illustration..\nPlease answer the question using a long-chain reasoning style and think step by step."
},
{
"from": "gpt",
"value": "So I'v... | {"<|obj1|>":[31,0,99,67],"<|obj2|>":[28,18,61,66],"<|obj3|>":[23,88,56,111],"<|obj4|>":[84,32,108,66],"<|obj5|>":[32,14,89,70],"<|obj6|>":[45,0,111,67]} | [
112,
112
] | 1,643 | |
1622 | [
{
"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 diagram line l1 is parallel to line l2 and line l3 is perpendicular to line l4, what is the degree measure of angle 1 given that angle 2 m... | {"<|obj1|>":[17,0,129,139],"<|obj2|>":[0,0,139,139],"<|obj3|>":[105,29,139,53],"<|obj4|>":[0,81,139,139],"<|obj5|>":[75,0,123,76],"<|obj6|>":[5,17,35,65]} | [
140,
140
] | 3,397 | |
894 | [
{
"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 provided, line a is parallel to line b. Line l intersects line a at point O and line b at point P. At point O, line OM is perpendicular to lin... | {"<|obj1|>":[35,63,98,139],"<|obj2|>":[7,0,167,139],"<|obj3|>":[0,28,167,77],"<|obj4|>":[0,98,14,119],"<|obj5|>":[49,0,133,84],"<|obj6|>":[0,0,167,139],"<|obj7|>":[35,105,56,139],"<|obj8|>":[49,0,105,49]} | [
168,
140
] | 4,634 | |
495 | [
{
"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 a radius of 4.0 and angle AOB measuring 120.0 degrees in circle O, find the radius of the base circle of the cone surrounded by the shaded sector.\nChoi... | {"<|obj1|>":[0,0,83,83],"<|obj2|>":[0,0,83,83]} | [
84,
84
] | 1,466 | |
1060 | [
{
"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, the height of the overpass is represented by variable u, where u = 10 meters. If the slope design satisfies sinA = 1/3, what is the ... | {"<|obj1|>":[0,0,195,55],"<|obj2|>":[0,0,98,55],"<|obj3|>":[0,0,188,55],"<|obj4|>":[0,0,66,55],"<|obj5|>":[0,15,74,55],"<|obj6|>":[57,23,90,55],"<|obj7|>":[179,39,195,55],"<|obj8|>":[81,31,123,55],"<|obj9|>":[89,0,188,55]} | [
196,
56
] | 2,091 | |
419 | [
{
"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 point C be a point on circle O with diameter AB. If the measure of angle A is denoted by variable 'u' where u = 20.0 degrees, wh... | {"<|obj1|>":[9,4,94,108],"<|obj2|>":[0,37,108,108],"<|obj3|>":[51,0,108,56],"<|obj4|>":[9,14,94,94],"<|obj5|>":[18,9,103,111],"<|obj6|>":[9,9,111,111],"<|obj7|>":[18,9,103,111],"<|obj8|>":[14,0,111,111]} | [
112,
112
] | 2,631 | |
792 | [
{
"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 XYZ, point M lies on side XY and point N lies on side XZ, where MN is parallel to side YZ. If XM = 2.0, MY = 1.0, MN = 1.6, then what is the leng... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[0,0,111,111],"<|obj3|>":[0,0,111,111],"<|obj4|>":[0,0,94,111],"<|obj5|>":[0,0,111,111]} | [
112,
112
] | 2,277 |