id string | image image | conversations list | regions string | image_size list | num_tokens int64 |
|---|---|---|---|---|---|
389 | [
{
"from": "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 as shown in the figure, let's denote the area of triangle ABC as variable 'u' where u = 20. If AB = AC = 10, point D lies on BC, DE is perpen... | {"<|obj1|>":[14,2,42,31],"<|obj2|>":[4,42,21,55],"<|obj3|>":[0,28,14,47],"<|obj4|>":[39,21,54,33],"<|obj5|>":[4,30,28,55],"<|obj6|>":[14,23,49,55]} | [
56,
56
] | 2,467 | |
1449 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As depicted in the figure, the lines a and b are parallel, and line c intersects them. If angle 1 measures 42 degrees, what is the measure of angle 2?\nChoic... | {"<|obj1|>":[0,23,10,38],"<|obj2|>":[93,51,103,70],"<|obj3|>":[42,0,98,56],"<|obj4|>":[9,0,94,83],"<|obj5|>":[0,0,103,83]} | [
112,
84
] | 2,616 | |
661 | [
{
"from": "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 A in the quadrilateral ABCD, shown in the figure, with a circle inscribed, when angle C measures 80.0 degrees?\nChoices:\nA: 120... | {"<|obj1|>":[0,9,111,111],"<|obj2|>":[0,9,70,89],"<|obj3|>":[9,4,94,108],"<|obj4|>":[23,0,111,108],"<|obj5|>":[9,9,108,108],"<|obj6|>":[9,0,111,111]} | [
112,
112
] | 1,403 | |
764 | [
{
"from": "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, at the same time, Xiao Ming measured his shadow length as 1.0, and the shadow length of a betel palm tree not far from him was 5.0. I... | {"<|obj1|>":[0,0,133,111],"<|obj2|>":[112,0,154,77],"<|obj3|>":[42,28,126,111],"<|obj4|>":[7,28,154,111]} | [
168,
112
] | 1,488 | |
4 | [
{
"from": "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 is the diameter of circle O, and AB intersects CD at right angle at point E. If CD measures 8.0, what is the length of DE?\nChoices:... | {"<|obj1|>":[0,5,42,135],"<|obj2|>":[35,110,65,139],"<|obj3|>":[0,17,106,139],"<|obj4|>":[35,29,95,117],"<|obj5|>":[5,58,89,129],"<|obj6|>":[29,52,95,88]} | [
112,
140
] | 2,678 | |
1590 | [
{
"from": "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 rectangle ABCD, given that angle ACB is 30 degrees and AB is 4 units long, what is the length of OC?\nChoices:\nA: 4.0\nB: 6.0\nC: 4√{3}\nD: 8.0.\nPlease ... | {"<|obj1|>":[0,4,108,83],"<|obj2|>":[28,4,84,61],"<|obj3|>":[46,28,103,83],"<|obj4|>":[23,0,98,83],"<|obj5|>":[0,23,56,80],"<|obj6|>":[23,23,98,83],"<|obj7|>":[0,14,98,83],"<|obj8|>":[9,14,98,83],"<|obj9|>":[28,4,84,61],"<|obj10|>":[84,65,103,83]} | [
112,
84
] | 2,441 | |
1863 | [
{
"from": "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, where AB is the diameter of circle O and point C lies on circle O, if angle A is 24°, what is the measure of arc BC in degrees?\nChoices:\nA: ... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[23,29,139,111],"<|obj3|>":[58,35,76,77],"<|obj4|>":[29,11,100,53],"<|obj5|>":[11,11,123,83],"<|obj6|>":[17,5,100,53],"<|obj7|>":[29,11,129,53],"<|obj8|>":[17,0,135,53],"<|obj9|>":[17,0,139,53],"<|obj10|>":[11,0,129,65]} | [
140,
112
] | 2,675 | |
688 | [
{
"from": "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 segments a and b are parallel in the figure shown, and that angle 1 is measured at 70.0 degrees, what is the measurement of angle 2?\nChoices... | {"<|obj1|>":[32,64,103,135],"<|obj2|>":[38,5,109,76],"<|obj3|>":[11,40,48,135],"<|obj4|>":[11,99,106,117],"<|obj5|>":[41,11,83,135]} | [
112,
140
] | 1,794 | |
156 | [
{
"from": "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, with angle ACB equal to 90 degrees. The midpoints of sides AB, BC, and CA are referred to as H, E, and F respe... | {"<|obj1|>":[0,0,111,139],"<|obj2|>":[41,46,65,82],"<|obj3|>":[29,110,59,139],"<|obj4|>":[0,0,111,139],"<|obj5|>":[11,58,106,139],"<|obj6|>":[8,52,80,123]} | [
112,
140
] | 1,876 | |
183 | [
{
"from": "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, angle BAC=90°, ADperpendicular BC, AE bisects angle BAC, angle B=2angle C, the measure of angle DAE is ().\nChoices:\nA: 45°\nB: 20°\nC: 30°... | {"<|obj1|>":[65,7,180,88],"<|obj2|>":[32,7,58,96],"<|obj3|>":[0,0,180,111],"<|obj4|>":[8,0,180,96],"<|obj5|>":[40,7,188,96],"<|obj6|>":[16,63,49,111],"<|obj7|>":[49,79,74,111],"<|obj8|>":[24,0,195,104]} | [
196,
112
] | 2,839 | |
1525 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Looking at the figure, line c intersects parallel lines a and b. If angle 1 is 70 degrees, what is the degree of angle 2?\nChoices:\nA: 70°\nB: 100°\nC: 110°... | {"<|obj1|>":[105,35,123,47],"<|obj2|>":[105,81,129,100],"<|obj3|>":[29,0,123,65],"<|obj4|>":[5,0,123,139],"<|obj5|>":[0,0,129,139]} | [
140,
140
] | 2,893 | |
7 | [
{
"from": "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 the radius of the base of a conical funnel OB with the variable 'x' (x = 5cm) and the height OC with the variable 'y... | {"<|obj1|>":[0,0,111,139],"<|obj2|>":[38,70,109,139],"<|obj3|>":[41,11,111,82]} | [
112,
140
] | 1,493 | |
804 | [
{
"from": "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 point D as the midpoint of side BC and point E as the midpoint of side BA. If the area of triangle ABC is 32 square... | {"<|obj1|>":[99,5,139,65],"<|obj2|>":[58,82,82,111],"<|obj3|>":[15,13,114,111],"<|obj4|>":[17,5,123,95]} | [
140,
112
] | 2,753 | |
1887 | [
{
"from": "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 in the provided diagram, with BC measuring 12 units and EC measuring 7 units, what is the length of CF?\... | {"<|obj1|>":[8,7,188,88],"<|obj2|>":[8,0,195,111],"<|obj3|>":[0,47,49,111],"<|obj4|>":[40,87,147,111],"<|obj5|>":[171,79,188,104],"<|obj6|>":[73,0,98,24],"<|obj7|>":[0,71,25,104],"<|obj8|>":[114,87,147,111],"<|obj9|>":[106,0,195,96],"<|obj10|>":[40,87,66,111],"<|obj11|>":[171,79,188,104],"<|obj12|>":[0,71,74,111]} | [
196,
112
] | 3,159 | |
1854 | [
{
"from": "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, lines AC and BD intersect at point O inside parallelogram ABCD. If it is known that AC + BD = 16.0 and CD = 6.0, what is the perimeter of tri... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[0,0,167,83],"<|obj3|>":[0,42,49,83],"<|obj4|>":[63,21,98,49],"<|obj5|>":[14,0,167,77]} | [
168,
84
] | 1,325 | |
1950 | [
{
"from": "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 points A, B, and C are all on circle O, with angle ACB measuring 22.0 degrees. What is the degree measure of angle AOB in this scenario?\nChoices:\nA... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[14,88,80,111],"<|obj3|>":[65,84,84,108],"<|obj4|>":[88,9,111,38],"<|obj5|>":[9,4,108,108],"<|obj6|>":[9,0,108,108]} | [
112,
112
] | 1,952 | |
1112 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the figure depicting quadrilateral ABCD, where AD is equivalent to BC and point P represents the midpoint of diagonal BD, and E and F are the midpoints of... | {"<|obj1|>":[0,7,167,111],"<|obj2|>":[0,21,77,111],"<|obj3|>":[112,0,161,105],"<|obj4|>":[77,42,133,98],"<|obj5|>":[70,84,98,111],"<|obj6|>":[70,0,133,105],"<|obj7|>":[70,21,133,111]} | [
168,
112
] | 2,160 | |
800 | [
{
"from": "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 right triangle ABC, angle C = 90°. If AB = 10 and BC = 8, the value of tanB is ().\nChoices:\nA: 0.6\nB: 0.8\nC: 0.75\nD: \\frac{4... | {"<|obj1|>":[4,0,111,83],"<|obj2|>":[88,60,111,83],"<|obj3|>":[60,14,94,42],"<|obj4|>":[0,60,108,83],"<|obj5|>":[9,0,98,80],"<|obj6|>":[56,4,108,83]} | [
112,
84
] | 2,309 | |
120 | [
{
"from": "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, two points C and D lie on the line segment AB, and AD is equal to one-third of AB. If AB is 48 units long, and C is the midpoint of AD, ... | {"<|obj1|>":[0,0,38,27],"<|obj2|>":[24,0,181,27],"<|obj3|>":[65,0,84,27]} | [
224,
28
] | 1,084 | |
1281 | [
{
"from": "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 in quadrilateral ABCD, inscribed in circle O, measures 125 degrees, what is the measure of angle C in the figure?\nChoices:\nA: 45°\nB: 55°\nC: 65... | {"<|obj1|>":[4,23,52,111],"<|obj2|>":[4,0,111,111],"<|obj3|>":[9,0,108,111],"<|obj4|>":[14,9,111,111],"<|obj5|>":[23,4,98,47],"<|obj6|>":[9,0,111,111]} | [
112,
112
] | 1,871 | |
1030 | [
{
"from": "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 quadrilateral ABCD, angle C measures 110°, and the exterior angles adjacent to angle BAD and angle ABC both measure 110°. Determine the degree measurement... | {"<|obj1|>":[8,8,195,51],"<|obj2|>":[8,0,188,83],"<|obj3|>":[16,0,195,83],"<|obj4|>":[8,0,195,83],"<|obj5|>":[24,42,58,68],"<|obj6|>":[24,0,98,68]} | [
196,
84
] | 1,955 | |
408 | [
{
"from": "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 radius of the base of the cone if a sector with a radius of 9.0 and a central angle of 120.0 is used to enclose the lateral surface of the cone, ... | {"<|obj1|>":[0,0,111,100],"<|obj2|>":[0,0,111,123]} | [
112,
140
] | 1,653 | |
976 | [
{
"from": "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 and triangle DCB are congruent, with angle A measuring 80.0 degrees and angle DBC measuring 40.0 degrees, what will be the measure of angle D... | {"<|obj1|>":[16,0,180,167],"<|obj2|>":[24,7,195,167],"<|obj3|>":[24,38,123,137],"<|obj4|>":[24,7,195,128],"<|obj5|>":[73,0,172,136]} | [
196,
168
] | 3,586 | |
500 | [
{
"from": "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 central angle AOB as variable u where u = 38.0 degrees. What is the degree measure of the angle ACB, represented as va... | {"<|obj1|>":[0,0,103,84],"<|obj2|>":[28,0,98,98],"<|obj3|>":[23,0,103,108]} | [
112,
112
] | 1,668 | |
14222 | [
{
"from": "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, points D, E, F are the midpoints of the three sides of triangle ABC. If the perimeter of triangle DEF is 10, then the perimeter of t... | {"<|obj1|>":[4,0,89,103],"<|obj2|>":[9,0,108,111],"<|obj3|>":[3,41,71,109],"<|obj4|>":[46,88,66,111],"<|obj5|>":[88,42,108,66]} | [
112,
112
] | 1,560 | |
1725 | [
{
"from": "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 points D, E, and F are points on the edges AB, AC, and BC respectively, it is known that DE is parallel to BC, EF is parallel to ... | {"<|obj1|>":[0,0,111,103],"<|obj2|>":[0,28,103,108],"<|obj3|>":[79,28,89,52],"<|obj4|>":[28,88,47,111],"<|obj5|>":[28,28,89,52],"<|obj6|>":[4,79,47,103],"<|obj7|>":[28,88,52,111],"<|obj8|>":[0,0,84,108],"<|obj9|>":[0,18,108,111]} | [
112,
112
] | 2,144 | |
1446 | [
{
"from": "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 similarity figure consisting of a triangular protractor and its projection, with a scale factor of 1:2 and a side length of the protractor denoted as 'L... | {"<|obj1|>":[138,7,188,72],"<|obj2|>":[138,39,164,111]} | [
196,
112
] | 1,963 | |
314 | [
{
"from": "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 right triangle triangle ABC, given that AB is 32 units long, CD is the median on the hypotenuse AB. What is the length of CD?\nChoices:\nA: 24.0\nB: 2... | {"<|obj1|>":[140,0,223,111],"<|obj2|>":[140,0,215,38],"<|obj3|>":[93,0,159,94],"<|obj4|>":[84,28,140,75],"<|obj5|>":[93,0,206,111]} | [
224,
112
] | 2,594 | |
1451 | [
{
"from": "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 planting trees on flat ground, the plant spacing (the horizontal distance between two adjacent trees) is required to be 4.0. If ... | {"<|obj1|>":[0,0,195,83],"<|obj2|>":[0,0,195,83],"<|obj3|>":[106,0,195,83]} | [
196,
84
] | 1,236 | |
6743 | [
{
"from": "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 l1 is parallel to line l2. Line l1 and line l2 are intersected by line l3. If angle 1 is 54 degrees, then the size of angle 2 is... | {"<|obj1|>":[126,21,154,91],"<|obj2|>":[133,77,147,91],"<|obj3|>":[70,0,105,28],"<|obj4|>":[14,0,140,111],"<|obj5|>":[0,0,154,111]} | [
168,
112
] | 2,080 | |
1072 | [
{
"from": "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, O is the intersection of the diagonals of the parallelogram ABCD. E is the midpoint of AB, and DE intersects AC at point F. If the ar... | {"<|obj1|>":[0,7,167,83],"<|obj2|>":[70,35,91,63],"<|obj3|>":[0,21,91,83],"<|obj4|>":[63,7,91,70],"<|obj5|>":[56,7,167,70]} | [
168,
84
] | 2,791 | |
74 | [
{
"from": "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, circle A has a radius of 10.0. Chord BC has a central angle of angle BAC, while chord ED has a central angle of angle EAD. If the le... | {"<|obj1|>":[0,5,135,129],"<|obj2|>":[0,40,59,135],"<|obj3|>":[81,23,129,82],"<|obj4|>":[93,35,129,82],"<|obj5|>":[35,46,76,82],"<|obj6|>":[29,5,123,123],"<|obj7|>":[40,52,76,82]} | [
140,
140
] | 2,252 | |
13947 | [
{
"from": "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, A, B, D are points on circle O, angle AOB = 52.0, then the degree of angle ADB is ()\nChoices:\nA: 104°\nB: 52°\nC: 38°\... | {"<|obj1|>":[32,0,111,103],"<|obj2|>":[23,84,47,108],"<|obj3|>":[79,84,84,103],"<|obj4|>":[0,27,67,95],"<|obj5|>":[42,14,94,108],"<|obj6|>":[9,14,94,111],"<|obj7|>":[9,0,108,111]} | [
112,
112
] | 1,728 | |
1009 | [
{
"from": "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, within triangle ABC, the point of intersection of the angle bisectors of angle ABC and angle ACB is denoted by O. If angle A is measure... | {"<|obj1|>":[9,0,111,55],"<|obj2|>":[14,23,98,52],"<|obj3|>":[9,23,108,55],"<|obj4|>":[14,23,80,42],"<|obj5|>":[9,4,103,55]} | [
112,
56
] | 1,664 | |
799 | [
{
"from": "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 right triangle XYZ, where angle Z measures 90.0 degrees, side XY has a length of 'a' units (a = 5.0), and side YZ has a length of 'b' units (b = 4.0), ... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[84,56,111,83],"<|obj3|>":[0,0,111,83],"<|obj4|>":[0,0,111,83],"<|obj5|>":[0,9,108,83],"<|obj6|>":[0,0,98,83]} | [
112,
84
] | 1,569 | |
884 | [
{
"from": "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, let's denote angle 1 as variable 'a' (a = 70°) and angle 2 as variable 'b' (b = 35°). Given that line m is parallel to line n, what i... | {"<|obj1|>":[133,21,161,42],"<|obj2|>":[126,70,154,139],"<|obj3|>":[0,0,167,139],"<|obj4|>":[14,14,63,139],"<|obj5|>":[35,49,119,133],"<|obj6|>":[21,49,105,133]} | [
168,
140
] | 2,538 | |
1046 | [
{
"from": "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, where angle C measures 90.0 degrees, O is the point of intersection of the three angular bisectors. Let OD be perpendicular to BC, OE be per... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[75,64,111,106],"<|obj3|>":[64,35,123,106],"<|obj4|>":[58,35,129,106],"<|obj5|>":[58,29,123,95]} | [
140,
112
] | 2,820 | |
1378 | [
{
"from": "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 rectangle ABCD, with AB = 3 units and diagonals AC and BD intersecting at point O, if AE is perpendicular and bisects OB at point E, what is the length of... | {"<|obj1|>":[0,7,167,111],"<|obj2|>":[7,0,140,111],"<|obj3|>":[35,42,105,91],"<|obj4|>":[14,0,154,63],"<|obj5|>":[7,0,167,84]} | [
168,
112
] | 3,024 | |
637 | [
{
"from": "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, if line 'a' is parallel to line 'b', and angle 1 measures 100.0 degrees, what is the measure of angle 2?\nChoices:\nA: 80°\nB: 60°\nC: 100°\n... | {"<|obj1|>":[17,0,139,53],"<|obj2|>":[0,64,135,89],"<|obj3|>":[38,9,137,108],"<|obj4|>":[0,0,139,111]} | [
140,
112
] | 4,806 | |
223 | [
{
"from": "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, triangle ABC is shown, with angle B measuring 70 degrees and angle BAD measuring 30 degrees. If AD is the angle bisector of angle BAC, what is... | {"<|obj1|>":[0,0,167,139],"<|obj2|>":[0,91,28,133],"<|obj3|>":[7,0,154,139],"<|obj4|>":[42,0,147,139]} | [
168,
140
] | 1,782 | |
344 | [
{
"from": "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 information in the figure, where triangle ABC is depicted and its angles ABC and ACB are measured at 50 degrees and 80 degrees respectively, if BP ... | {"<|obj1|>":[17,11,123,83],"<|obj2|>":[5,23,70,78],"<|obj3|>":[11,35,139,83],"<|obj4|>":[11,0,129,60],"<|obj5|>":[11,53,70,78],"<|obj6|>":[11,29,129,78],"<|obj7|>":[70,35,105,60],"<|obj8|>":[0,0,135,83],"<|obj9|>":[11,35,70,78]} | [
140,
84
] | 2,021 | |
724 | [
{
"from": "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 has an inscribed circle O with tangents at vertices D, E, and F, where AD measures 2.0 units and BC measures 5.0 units. Wha... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[17,0,41,42],"<|obj3|>":[105,76,117,101],"<|obj4|>":[0,23,18,101],"<|obj5|>":[105,76,123,101]} | [
140,
112
] | 1,452 | |
613 | [
{
"from": "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 figure shows points A, B, and C on circle O and angle ACB measures 70 degrees, what is the measurement of angle OAB?\nChoices:\nA: 10°\nB: 20°\nC: 25°... | {"<|obj1|>":[0,0,139,139],"<|obj2|>":[11,11,139,135],"<|obj3|>":[11,17,105,129],"<|obj4|>":[11,0,139,139],"<|obj5|>":[11,17,117,129],"<|obj6|>":[29,5,139,139]} | [
140,
140
] | 2,315 | |
88 | [
{
"from": "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 circle O, let AB and AC be two chords, where OD is perpendicular to AB at D, and OE is perpendicular to AC at E. Given the measure of angle BOC as 160.0 d... | {"<|obj1|>":[4,9,56,70],"<|obj2|>":[4,42,24,89],"<|obj3|>":[79,46,103,80],"<|obj4|>":[0,9,103,108],"<|obj5|>":[28,23,98,80]} | [
112,
112
] | 1,993 | |
1575 | [
{
"from": "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, where ∠A measures 70° and ∠C measures 30°, find the measure of ∠BDE if BD bisects ∠ABC, DE is parallel to AB, and DE intersects BC at poi... | {"<|obj1|>":[0,7,49,111],"<|obj2|>":[0,21,84,105],"<|obj3|>":[119,70,161,105],"<|obj4|>":[42,70,84,111],"<|obj5|>":[77,21,161,105],"<|obj6|>":[0,70,21,105]} | [
168,
112
] | 1,808 | |
1978 | [
{
"from": "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 circle O, the chord AB measures 8.0 units and the distance from the center O to the chord AB is 3.0 units. Determine the radius of circle O. Express the r... | {"<|obj1|>":[9,0,111,111],"<|obj2|>":[0,4,111,94]} | [
112,
112
] | 2,690 | |
1612 | [
{
"from": "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, a broken glass mirror is depicted, where the right-angled vertex O of a right-angled triangle is positioned on its circumference. The tw... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[11,0,139,106],"<|obj3|>":[11,47,35,89],"<|obj4|>":[52,0,139,77],"<|obj5|>":[5,88,41,111]} | [
140,
112
] | 2,785 | |
345 | [
{
"from": "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 line 'p' is parallel to line 'q' and angle 'x'=110.0, what is the measure of angle 'y'?\nChoices:\nA: 110°\nB: 90°\nC: 70°\nD: 60°.\... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[0,0,111,111],"<|obj3|>":[0,0,111,111],"<|obj4|>":[0,0,98,66],"<|obj5|>":[0,0,108,111]} | [
112,
112
] | 3,512 | |
1305 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Can the perimeter of triangle ACD be determined by examining the trace of its construction, if angle ACB in the given figure measures 90 degrees and the leng... | {"<|obj1|>":[11,17,30,35],"<|obj2|>":[0,93,24,123],"<|obj3|>":[93,11,135,123],"<|obj4|>":[11,128,30,139],"<|obj5|>":[0,17,24,111],"<|obj6|>":[0,0,139,139],"<|obj7|>":[11,17,105,82],"<|obj8|>":[58,11,135,123]} | [
140,
140
] | 2,247 | |
1538 | [
{
"from": "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 degree measurement of angle D in triangle ABC, where the bisector of angle ABC intersects with the outer bisector of angle ACB at point D, and an... | {"<|obj1|>":[0,0,139,101],"<|obj2|>":[5,11,139,101],"<|obj3|>":[29,15,100,86],"<|obj4|>":[0,11,139,101],"<|obj5|>":[23,29,139,95],"<|obj6|>":[11,23,135,101]} | [
140,
112
] | 2,188 | |
319 | [
{
"from": "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 OC is the angle bisector for angle AOB and OD is the angle bisector for angle BOC in the provided figure, if the measure of angle AOB is 120.0 deg... | {"<|obj1|>":[29,59,117,83],"<|obj2|>":[99,65,135,83],"<|obj3|>":[0,5,30,54],"<|obj4|>":[75,0,105,54],"<|obj5|>":[0,0,59,54],"<|obj6|>":[99,65,129,78],"<|obj7|>":[11,23,35,54],"<|obj8|>":[75,11,129,83],"<|obj9|>":[0,5,129,78],"<|obj10|>":[11,11,129,78],"<|obj11|>":[11,11,129,83],"<|obj12|>":[17,11,129,78],"<|obj13|>":[1... | [
140,
84
] | 2,671 | |
1550 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Take the three points A, B, and C in sequence on the straight line l, so that AB = 20.0, BC = 12.0. If O is the midpoint of the line segment AC, then what is... | {"<|obj1|>":[9,0,223,27],"<|obj2|>":[18,0,47,27],"<|obj3|>":[93,0,140,27],"<|obj4|>":[61,0,219,27],"<|obj5|>":[65,0,168,27]} | [
224,
28
] | 2,046 | |
446 | [
{
"from": "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 following configuration in circle O, where AB represents the diameter, BC stands as a chord, and CD is a tangent with OC connecting them, determine... | {"<|obj1|>":[0,3,77,74],"<|obj2|>":[7,17,81,81],"<|obj3|>":[31,17,77,77],"<|obj4|>":[14,21,83,81],"<|obj5|>":[21,31,56,83],"<|obj6|>":[7,0,77,77],"<|obj7|>":[19,19,79,79],"<|obj8|>":[7,21,74,67],"<|obj9|>":[7,21,74,77],"<|obj10|>":[7,0,77,77],"<|obj11|>":[7,21,77,77],"<|obj12|>":[19,19,79,79]} | [
84,
84
] | 2,617 | |
1694 | [
{
"from": "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 setup, the rope represented by line segment AB is cut at point C. If the longer of the resulting two segments after the cut measures 60.0 units ... | {"<|obj1|>":[9,0,108,27],"<|obj2|>":[42,0,80,19],"<|obj3|>":[0,0,94,27],"<|obj4|>":[88,9,108,24]} | [
112,
28
] | 1,381 | |
427 | [
{
"from": "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 we can observe in the given figure, the intersection of the diagonals in parallelogram ABCD is denoted by O. Knowing that AC has a length of 10.0 units, B... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[7,0,167,83],"<|obj3|>":[0,0,167,77],"<|obj4|>":[14,21,119,77],"<|obj5|>":[70,42,119,83],"<|obj6|>":[7,28,119,83],"<|obj7|>":[70,0,167,77],"<|obj8|>":[14,0,167,83],"<|obj9|>":[84,0,167,83],"<|obj10|>":[7,49,126,83]} | [
168,
84
] | 2,387 | |
1574 | [
{
"from": "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 geometry of rectangle ABCD, where the diagonals AC and BD intersect at point O, and OA measures 3 units, what is the length of BD?\nChoices:\nA: 3\... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[4,4,108,75],"<|obj3|>":[9,4,108,56]} | [
112,
84
] | 2,139 | |
1614 | [
{
"from": "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 cone mold with the length of the slant height represented by 'l' units (l = 10.0) and the radius of the base represented by 'r' units (r = 5.0), what... | {"<|obj1|>":[0,0,83,83]} | [
84,
84
] | 1,469 | |
924 | [
{
"from": "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, circle O circumscribes triangle ABC. If angle C measures 35.0 degrees, what is the measure of angle OBA? Represent the measure of angle OBA a... | {"<|obj1|>":[0,0,129,59],"<|obj2|>":[0,110,41,139],"<|obj3|>":[87,105,105,129],"<|obj4|>":[110,64,129,88],"<|obj5|>":[75,17,129,135],"<|obj6|>":[29,17,123,129],"<|obj7|>":[5,52,76,123],"<|obj8|>":[35,52,105,123],"<|obj9|>":[23,0,117,100],"<|obj10|>":[35,5,111,117],"<|obj11|>":[35,52,105,123]} | [
140,
140
] | 2,910 | |
1715 | [
{
"from": "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 ACB is 29.0 degrees, what is the measure of angle AOB?\nChoices:\nA: 14.5°\nB: 29°\nC: 58°\nD: 61°.\nPlease a... | {"<|obj1|>":[0,0,70,111],"<|obj2|>":[4,88,33,111],"<|obj3|>":[84,84,98,108],"<|obj4|>":[88,9,103,33],"<|obj5|>":[9,4,108,108],"<|obj6|>":[9,0,98,98]} | [
112,
112
] | 2,237 | |
1427 | [
{
"from": "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 given sector having a radius of 'R' units (R = 30.0) and a central angle of 'C' degrees (C = 120.0), which is used to form the lateral surface of a co... | {"<|obj1|>":[0,0,83,83],"<|obj2|>":[0,0,83,83]} | [
84,
84
] | 1,875 | |
1552 | [
{
"from": "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, angle BAC is 30 degrees, and BC is 4 units long. What is the radius of circle O?\nChoices:\nA: 2.... | {"<|obj1|>":[0,14,111,111],"<|obj2|>":[4,0,111,84],"<|obj3|>":[46,18,84,61],"<|obj4|>":[9,14,80,98],"<|obj5|>":[18,56,98,108],"<|obj6|>":[14,0,111,111],"<|obj7|>":[18,14,84,103]} | [
112,
112
] | 2,439 | |
880 | [
{
"from": "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 a conical funnel model created by Xiao Ming, with the base radius denoted by 'x' units (x = 6.0) and height by 'y' units (y = 8.0). Determine the la... | {"<|obj1|>":[0,0,112,140],"<|obj2|>":[7,126,139,161],"<|obj3|>":[63,28,77,105]} | [
140,
168
] | 1,263 | |
1144 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In parallelogram ABCD, if AB = 6 and BC = 8, what is the perimeter of ABCD?\nChoices:\nA: 12.0\nB: 16.0\nC: 28.0\nD: 32.0.\nPlease answer the question using ... | {"<|obj1|>":[0,0,195,111],"<|obj2|>":[0,7,131,111],"<|obj3|>":[89,14,188,111],"<|obj4|>":[155,31,188,96],"<|obj5|>":[0,79,147,111]} | [
196,
112
] | 1,594 | |
12737 | [
{
"from": "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, AB = AC, if angle B = 70°, then angle A is equal to ().\nChoices:\nA: 70°\nB: 40°\nC: 20°\nD: 140°.\nPlease answer the q... | {"<|obj1|>":[0,3,83,83],"<|obj2|>":[35,0,49,18],"<|obj3|>":[3,63,18,74],"<|obj4|>":[52,63,81,81],"<|obj5|>":[3,56,77,74],"<|obj6|>":[3,52,77,81],"<|obj7|>":[17,7,74,74],"<|obj8|>":[21,7,63,49],"<|obj9|>":[10,0,74,83],"<|obj10|>":[0,3,83,83]} | [
84,
84
] | 1,893 | |
210 | [
{
"from": "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 measure of CD, the altitude of side AB, in triangle ABC given the side lengths AB = 1.5, BC = 0.9, and AC = 1.2.\nChoices:\nA: 0.72\nB: 2.0\nC: 1.12... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[98,28,167,83]} | [
168,
84
] | 3,088 | |
1408 | [
{
"from": "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 shown in the figure, let's represent the distance from the midpoint M of one side to the intersection point O of the diagonal as variable... | {"<|obj1|>":[10,0,251,139],"<|obj2|>":[21,42,105,86],"<|obj3|>":[115,64,158,97]} | [
252,
140
] | 2,119 | |
1951 | [
{
"from": "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 congruent to triangle ADC. If angle B is represented by the variable 'x' (x = 80°) and angle BCA is represented by the v... | {"<|obj1|>":[7,0,83,83],"<|obj2|>":[3,0,83,83]} | [
84,
84
] | 1,698 | |
544 | [
{
"from": "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 rhombus ABCD is 24 and diagonal BD has a length of 6, what is the perimeter of rhombus ABCD, as depicted in the figure where diagonal AC inter... | {"<|obj1|>":[0,0,139,167],"<|obj2|>":[0,21,139,161],"<|obj3|>":[35,0,126,140],"<|obj4|>":[49,56,133,140],"<|obj5|>":[14,0,139,167],"<|obj6|>":[0,0,133,167],"<|obj7|>":[0,28,91,167],"<|obj8|>":[49,70,126,167],"<|obj9|>":[98,49,133,154]} | [
140,
168
] | 1,776 | |
1982 | [
{
"from": "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 ABCD, AB is perpendicular to AC. If AB is equal to 4 and AC is equal to 6, the length of BD is ().\nChoices:\nA: 8\nB: 9\nC: 10\n... | {"<|obj1|>":[0,0,167,77],"<|obj2|>":[0,0,63,77],"<|obj3|>":[7,0,161,83],"<|obj4|>":[63,0,161,63],"<|obj5|>":[14,0,119,77],"<|obj6|>":[70,35,98,63],"<|obj7|>":[14,0,167,83],"<|obj8|>":[14,0,167,83]} | [
168,
84
] | 3,071 | |
923 | [
{
"from": "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 generatrix length of the cone mold as 10.0 and the bottom radius as 5.0, what is the lateral area of the cone mold depicted in the figure?\nC... | {"<|obj1|>":[0,0,83,83],"<|obj2|>":[10,52,39,74]} | [
84,
84
] | 1,419 | |
482 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, if angle C is truncated along the dotted line and the sum of angles 1 and 2 is 260°, what is the measure of angle C? Represent the measure o... | {"<|obj1|>":[11,0,123,111],"<|obj2|>":[5,41,76,111],"<|obj3|>":[5,0,135,111],"<|obj4|>":[0,17,139,111]} | [
140,
112
] | 1,999 | |
1933 | [
{
"from": "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 illustrated in the figure and angle ACB measures 90 degrees, with M and N being the midpoints of sides AB and AC, and CD being one-third o... | {"<|obj1|>":[5,0,139,135],"<|obj2|>":[35,0,82,139],"<|obj3|>":[87,52,105,76],"<|obj4|>":[29,52,65,82],"<|obj5|>":[0,64,70,135],"<|obj6|>":[46,5,65,41],"<|obj7|>":[116,23,135,135],"<|obj8|>":[51,0,136,84]} | [
140,
140
] | 2,754 | |
762 | [
{
"from": "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, if angle BOD in circle O measures 120.0 degrees, what is the degree measure of angle BCD?\nChoices:\nA: 60°\nB: 80°\nC: 120°\nD: 150°... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[9,9,103,111],"<|obj3|>":[14,0,103,103],"<|obj4|>":[9,79,24,89],"<|obj5|>":[42,88,84,108],"<|obj6|>":[88,42,98,70],"<|obj7|>":[46,51,61,61],"<|obj8|>":[79,42,98,89]} | [
112,
112
] | 1,849 | |
505 | [
{
"from": "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 an equilateral triangle paper ABC has a perimeter of 6 as depicted in the diagram, and points E and F are trisecting points on side BC, what is the perime... | {"<|obj1|>":[0,0,167,139],"<|obj2|>":[0,105,21,133],"<|obj3|>":[42,119,70,139],"<|obj4|>":[98,119,119,139],"<|obj5|>":[0,105,28,139],"<|obj6|>":[140,0,167,133],"<|obj7|>":[70,70,112,133],"<|obj8|>":[21,0,167,139]} | [
168,
140
] | 4,476 | |
32 | [
{
"from": "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 the measure of angle D in triangle ABD as variable h, where h = 80°. Point C is a point on side BD, and AC is connec... | {"<|obj1|>":[11,0,139,83],"<|obj2|>":[11,0,139,83],"<|obj3|>":[40,59,59,78],"<|obj4|>":[87,0,139,83],"<|obj5|>":[17,11,65,78],"<|obj6|>":[35,0,129,83],"<|obj7|>":[17,0,129,72]} | [
140,
84
] | 3,185 | |
841 | [
{
"from": "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 circle O with diameter AC and chord AB, and angle BOC equal to 100.0 degrees, find the measure of angle OAB, denoted as 'θ' degrees.\nChoices:\nA: 50... | {"<|obj1|>":[23,4,80,61],"<|obj2|>":[0,0,108,111],"<|obj3|>":[0,18,103,108],"<|obj4|>":[4,79,24,103],"<|obj5|>":[4,79,98,103],"<|obj6|>":[51,0,108,56],"<|obj7|>":[14,9,70,66],"<|obj8|>":[14,9,70,66],"<|obj9|>":[42,4,108,52]} | [
112,
112
] | 2,417 | |
1244 | [
{
"from": "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 parallelogram ABCD, let's denote the length of AF as variable x (x = 3). If point E is the midpoint of AB and DE intersects diagonal AC at point... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[40,65,53,83],"<|obj3|>":[40,29,65,83],"<|obj4|>":[81,0,135,36],"<|obj5|>":[11,0,76,83],"<|obj6|>":[11,17,100,83],"<|obj7|>":[46,0,139,72]} | [
140,
84
] | 3,292 | |
452 | [
{
"from": "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 AB and AC respectively, and DE is parallel to BC. If AD is 16 units, BD is 32 units, and AE is 8 units, w... | {"<|obj1|>":[18,37,94,66],"<|obj2|>":[177,56,223,83],"<|obj3|>":[65,9,131,83],"<|obj4|>":[168,18,206,47],"<|obj5|>":[65,9,187,56],"<|obj6|>":[9,56,187,83],"<|obj7|>":[45,0,179,83]} | [
224,
84
] | 1,453 | |
1297 | [
{
"from": "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 AC,frac {BD}{DA}=frac {1.0}{2.0},DE=3.0, then the length of AC is ()\nChoices:\nA: 3\nB: 4\nC: 6\nD: 9.\n... | {"<|obj1|>":[81,0,180,83],"<|obj2|>":[24,16,107,76],"<|obj3|>":[49,50,74,83],"<|obj4|>":[49,50,66,76],"<|obj5|>":[106,0,195,76],"<|obj6|>":[8,50,66,76],"<|obj7|>":[0,8,164,76]} | [
196,
84
] | 1,545 | |
1920 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In parallelogram ABCD, as depicted in the figure, where the diagonal AC and BD intersect at point O, and AC + BD measures 18.0, while BC measures 6.0, what w... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[61,0,163,83],"<|obj3|>":[50,0,167,83],"<|obj4|>":[70,35,98,70],"<|obj5|>":[14,0,167,83],"<|obj6|>":[84,0,167,83]} | [
168,
84
] | 2,613 | |
635 | [
{
"from": "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 BE and CF are the two heights of triangle ABC respectively, and BE and CF intersect at point H. If angle BAC = 50.0,... | {"<|obj1|>":[35,0,105,70],"<|obj2|>":[5,81,76,139],"<|obj3|>":[11,52,129,139],"<|obj4|>":[64,75,100,100]} | [
140,
140
] | 2,322 | |
957 | [
{
"from": "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, triangle ABC incorporates AD as the median on side BC. E and F denote the midpoints of AD and BE respectively. If the area of ... | {"<|obj1|>":[91,0,167,119],"<|obj2|>":[14,0,167,119],"<|obj3|>":[77,49,119,77],"<|obj4|>":[42,77,70,105],"<|obj5|>":[0,0,167,139],"<|obj6|>":[0,0,167,126],"<|obj7|>":[7,0,154,112]} | [
168,
140
] | 3,584 | |
11605 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, PA is tangent to circle O at point A, PB is tangent to circle O at point B. If PA = 3, then PB = ().\nChoices:\nA: 6\nB: 5\nC: 4\nD: ... | {"<|obj1|>":[64,11,135,89],"<|obj2|>":[0,35,35,59],"<|obj3|>":[0,20,70,91],"<|obj4|>":[0,20,70,91],"<|obj5|>":[64,0,123,101],"<|obj6|>":[58,38,129,109],"<|obj7|>":[5,0,139,111],"<|obj8|>":[5,0,129,111]} | [
140,
112
] | 2,715 | |
276 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Figure shows a conical funnel with a base radius of OB = 6cm and a height of OC = 8cm. What is the lateral area of this conical funnel?\nChoices:\nA: 30cm2\n... | {"<|obj1|>":[0,0,111,139],"<|obj2|>":[35,99,111,135],"<|obj3|>":[41,11,111,82]} | [
112,
140
] | 1,465 | |
353 | [
{
"from": "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 provided, triangle ABC is depicted with AD serving as the median on side BC. Within triangle ACD, CE functions as the median on side AD. If... | {"<|obj1|>":[5,0,139,111],"<|obj2|>":[11,5,117,95],"<|obj3|>":[17,0,139,111],"<|obj4|>":[58,41,129,111],"<|obj5|>":[58,15,129,86]} | [
140,
112
] | 1,815 | |
854 | [
{
"from": "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 diameter of circle O is BD and points A and C lie on circle O with angle A at 40 degrees, what then is the degree of angle CBD?\nChoices:\nA: 40°\nB: ... | {"<|obj1|>":[4,0,108,111],"<|obj2|>":[0,28,108,103],"<|obj3|>":[84,9,98,28],"<|obj4|>":[42,84,61,108],"<|obj5|>":[18,14,108,103]} | [
112,
112
] | 1,866 | |
278 | [
{
"from": "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, DE parallel BC, frac {AD}{DB} = frac {1.0}{3.0}, DE = 6.0, then the length of BC is ()\nChoices:\nA: 30\nB: 24\nC: ... | {"<|obj1|>":[0,0,123,83],"<|obj2|>":[52,17,135,42],"<|obj3|>":[11,41,65,78],"<|obj4|>":[105,0,139,83],"<|obj5|>":[11,0,129,78],"<|obj6|>":[58,5,135,72],"<|obj7|>":[110,17,129,42],"<|obj8|>":[5,53,35,78]} | [
140,
84
] | 2,234 | |
399 | [
{
"from": "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 angle 1 as variable p (p = 100°) and angle 2 as variable q (q = 60°). If we want to make wood pieces a and b parallel, w... | {"<|obj1|>":[110,11,129,30],"<|obj2|>":[122,58,139,83],"<|obj3|>":[17,15,88,86],"<|obj4|>":[58,41,129,111],"<|obj5|>":[0,41,70,111]} | [
140,
112
] | 2,455 | |
1074 | [
{
"from": "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 the median on side BC. E and F are the midpoints of AD and BE respectively. If the area of triangle BFD is 1,... | {"<|obj1|>":[105,0,161,119],"<|obj2|>":[63,0,167,126],"<|obj3|>":[0,42,84,126]} | [
168,
140
] | 2,669 | |
471 | [
{
"from": "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 right triangle ABC, where angle C = 90°, let's represent side AC as variable 'p' (p = 8cm) and side BC as variable 'q' (q = 10cm). Point P is a ... | {"<|obj1|>":[0,0,167,111],"<|obj2|>":[7,7,28,63],"<|obj3|>":[119,70,161,105],"<|obj4|>":[0,91,35,111],"<|obj5|>":[14,84,77,111],"<|obj6|>":[7,0,167,111]} | [
168,
112
] | 2,515 | |
1746 | [
{
"from": "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 of a rhombus ABCD where the diagonals AC and BD intersect at point O. If the length of AB is 5 units and AC is 6 units, what would be the... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[11,0,129,111],"<|obj3|>":[0,0,139,101],"<|obj4|>":[17,41,88,111],"<|obj5|>":[0,0,129,111]} | [
140,
112
] | 1,885 | |
1418 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Xiao Ming wants to make a small visual acuity chart with a test distance of 3.0 based on a large visual acuity chart with a test distance of 5.0. If the heig... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[0,0,167,83],"<|obj3|>":[0,0,84,42],"<|obj4|>":[0,7,35,42]} | [
168,
84
] | 1,814 | |
684 | [
{
"from": "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 40 units long, and AC is 24 units long, D, E, and F are the midpoints of the three sides of tr... | {"<|obj1|>":[99,0,139,78],"<|obj2|>":[110,59,135,78],"<|obj3|>":[40,0,59,30],"<|obj4|>":[40,5,59,18],"<|obj5|>":[0,0,139,83],"<|obj6|>":[58,59,76,83],"<|obj7|>":[40,0,111,83],"<|obj8|>":[0,0,139,83]} | [
140,
84
] | 2,708 | |
1809 | [
{
"from": "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 ABD, where angle D measures 80°, point C lies on side BD, and AC is a line segment. If angle ACB measures 115°, what is the measure of angle CAD?... | {"<|obj1|>":[11,0,139,83],"<|obj2|>":[40,59,59,78],"<|obj3|>":[11,0,129,83],"<|obj4|>":[11,0,139,83],"<|obj5|>":[5,0,129,83]} | [
140,
84
] | 1,924 | |
1429 | [
{
"from": "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 ABCD, angle A+angle C=140°, then the measure of angle B is ().\nChoices:\nA: 140°\nB: 110°\nC: 70°\nD: 0°.\nPlease answer the ques... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[28,0,103,83],"<|obj3|>":[32,0,111,83],"<|obj4|>":[28,0,103,80]} | [
112,
84
] | 2,070 | |
1608 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the provided diagram, if the measure of angle BOD is represented by the variable u (u = 70°), what is the value of the measure of angle AOE, expressed as ... | {"<|obj1|>":[5,59,30,78],"<|obj2|>":[81,5,129,48],"<|obj3|>":[52,0,76,83],"<|obj4|>":[11,0,139,83],"<|obj5|>":[17,0,139,83],"<|obj6|>":[17,0,139,83],"<|obj7|>":[17,0,139,83],"<|obj8|>":[35,0,139,83],"<|obj9|>":[17,5,139,83],"<|obj10|>":[35,0,139,83]} | [
140,
84
] | 2,877 | |
102 | [
{
"from": "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 points A and B are the midpoints of line segments CD and CE, respectively, and point C is taken on the same side of line AB to mea... | {"<|obj1|>":[0,0,167,167],"<|obj2|>":[0,0,167,167],"<|obj3|>":[119,0,167,167],"<|obj4|>":[14,84,98,167],"<|obj5|>":[14,0,167,161]} | [
168,
168
] | 2,738 | |
1743 | [
{
"from": "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, with AB being parallel to CD and AC intersecting BD at point O, if the lengths of DO, BO, and DC are known to be 2, 5, and 3 respectivel... | {"<|obj1|>":[0,0,83,83],"<|obj2|>":[63,63,74,83],"<|obj3|>":[24,0,70,21],"<|obj4|>":[0,0,83,83],"<|obj5|>":[10,3,83,83],"<|obj6|>":[38,24,81,67],"<|obj7|>":[0,49,77,83],"<|obj8|>":[35,0,81,39],"<|obj9|>":[0,10,74,83],"<|obj10|>":[63,31,81,83]} | [
84,
84
] | 2,123 | |
1773 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, the bisectors of angle ABC and angle ACB intersect at point O. If the measure of angle A is represented by the variable 'x' (x = 70°), what ... | {"<|obj1|>":[4,0,111,55],"<|obj2|>":[14,0,98,52],"<|obj3|>":[0,0,111,55],"<|obj4|>":[9,0,111,55]} | [
112,
56
] | 2,446 | |
1664 | [
{
"from": "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, C, D, and E are on circle O, with angle BAC at 10 degrees and angle CED at 30 degrees, what is the value of angle BOD?\nChoices:\nA: ... | {"<|obj1|>":[0,0,167,105],"<|obj2|>":[14,14,28,35],"<|obj3|>":[7,112,63,154],"<|obj4|>":[42,133,63,154],"<|obj5|>":[126,119,147,147],"<|obj6|>":[98,0,126,42],"<|obj7|>":[7,21,126,154],"<|obj8|>":[49,0,154,161],"<|obj9|>":[42,7,154,161]} | [
168,
168
] | 3,059 |