id stringlengths 29 36 | conversations listlengths 1 48 | images listlengths 1 1 | source_dataset stringclasses 2
values |
|---|---|---|---|
vision_r1_mulberry_sft_full-194481 | [
{
"from": "user",
"value": "<image>What is the size of angle A in triangle ABC if point O lies inside the triangle and has angles BOC, 1, and 2 measuring 140°, 20°, and 40° respectively?\nChoices:\nA: 80°\nB: 100°\nC: 120°\nD: 0°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. We h... | [
"mulberry_images/geoqa_plus/11282.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194482 | [
{
"from": "user",
"value": "<image>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"
},
{
"from": "assistant",
"value": "<think> Okay, so there's this image with three squares forming a right triangle. The areas give... | [
"mulberry_images/geoqa_plus/11447.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194483 | [
{
"from": "user",
"value": "<image>Consider the figure where lines m and n are depicted as parallel to each other. Given that angle 1 measures 40 degrees, what is the degree value of angle 2?\nChoices:\nA: 130°\nB: 140°\nC: 150°\nD: 160°"
},
{
"from": "assistant",
"value": "<think> Okay, let me ... | [
"mulberry_images/geoqa_plus/10872.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194484 | [
{
"from": "user",
"value": "<image>If the \"Zhao Shuang's string diagram,\" illustrated in the picture, consists of four congruent right-angled triangles and a small square forming a larger square, and the lengths of the two legs of the right-angled triangle are 5 and 3 respectively, what is the area of the... | [
"mulberry_images/geoqa_plus/11392.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194485 | [
{
"from": "user",
"value": "<image>What is the degree measure of angle BDC in the figure if AB is the diameter of semicircle O and angle ABC measures 50°?\nChoices:\nA: 90°\nB: 100°\nC: 130°\nD: 140°"
},
{
"from": "assistant",
"value": "<think> Okay, let's tackle this problem. So, we have a semi... | [
"mulberry_images/geoqa_plus/10644.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194486 | [
{
"from": "user",
"value": "<image>If triangle ACB is congruent to triangle A'CB' and angle BCB' is 30 degrees in the provided diagram, what is the measure of angle ACA'? \nChoices:\nA: 30°\nB: 20°\nC: 35°\nD: 40°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to visualize this. T... | [
"mulberry_images/geoqa_plus/11351.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194487 | [
{
"from": "user",
"value": "<image>If in the diagram line AE is parallel to line BF, line BC bisects angle ABF, and line AC is perpendicular to line BC, what is the degree of angle 2 given that angle 1 measures 40°?\nChoices:\nA: 20°\nB: 40°\nC: 70°\nD: 140°"
},
{
"from": "assistant",
"value": "... | [
"mulberry_images/geoqa_plus/11036.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194488 | [
{
"from": "user",
"value": "<image>When observing the diagram, it can be seen that line l is parallel to line m, and the right angle triangle ABC has its right angle vertex C on line m. What is the degree measure of angle 2, given that angle B measures 45° and angle 1 measures 65°?\nChoices:\nA: 10°\nB: 15°... | [
"mulberry_images/geoqa_plus/11080.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194489 | [
{
"from": "user",
"value": "<image>Given that AB is parallel to CD and angle 1 measures 140° in the figure, can you determine the measure of angle D?\nChoices:\nA: 40°\nB: 50°\nC: 60°\nD: 70°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem shows that AB is parallel to C... | [
"mulberry_images/geoqa_plus/10972.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194490 | [
{
"from": "user",
"value": "<image>In the provided illustration, if parallelogram ABCD is shown with angle A being twice the size of angle B, and the radius of circle C is 3, what will be the area of the shaded region in the diagram?\nChoices:\nA: π\nB: 2π\nC: 3π\nD: 6π"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/11680.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194491 | [
{
"from": "user",
"value": "<image>As depicted in the figure, in circle O, the tangent CD touches the circle at point D. The line CO intersects circle O at points B and A, with the measure of angle A being 15 degrees. What is the degree measurement of angle C?\nChoices:\nA: 45°\nB: 65°\nC: 60°\nD: 70°"
},... | [
"mulberry_images/geoqa_plus/10357.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194492 | [
{
"from": "user",
"value": "<image>Given that PA is a tangent to circle O at point A, and the extension of PO intersects circle O at point C, and angle P is 40 degrees, what is the value of angle CQA when point Q moves on line AC? \nChoices:\nA: 115°\nB: 110°\nC: 105°\nD: 100°"
},
{
"from": "assista... | [
"mulberry_images/geoqa_plus/10147.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194493 | [
{
"from": "user",
"value": "<image>In the provided diagram where AB is parallel to CD, point E lies on CD and point F lies on AB, line EG intersects AB at point G and bisects angle FED. If angle GFE measures 66°, what is the measure of angle EGF?\nChoices:\nA: 57°\nB: 47°\nC: 66°\nD: 67°"
},
{
"from... | [
"mulberry_images/geoqa_plus/10810.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194494 | [
{
"from": "user",
"value": "<image>When AB is parallel to CD in the provided diagram and angle 1 measures 65 degrees while angle 2 measures 30 degrees, what is the degree of angle B?\nChoices:\nA: 25°\nB: 30°\nC: 35°\nD: 40°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure ... | [
"mulberry_images/geoqa_plus/11046.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194495 | [
{
"from": "user",
"value": "<image>If squares are externally constructed on the sides of a right triangle ABC, and the areas of these squares are denoted as S1, S2, and S3, with S1 being 4 and S3 being 16, what is the value of S2?\nChoices:\nA: 20\nB: 12\nC: 2√{5}\nD: 2√{3}"
},
{
"from": "assistant"... | [
"mulberry_images/geoqa_plus/11446.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194496 | [
{
"from": "user",
"value": "<image>Within the given figure, line AB and CD are intersected by line ED. AB is parallel to CD, and angle 1 measures 140°. Determine the degree measure of angle D.\nChoices:\nA: 40°\nB: 60°\nC: 45°\nD: 70°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see.... | [
"mulberry_images/geoqa_plus/11129.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194497 | [
{
"from": "user",
"value": "<image>As depicted in the figure, triangle ABC is presented, featuring an arbitrary point D on the side BC. The midpoints of segments AD and CE are denoted as points E and F respectively. If the area of triangle ABC is 1, what will be the area of triangle BEF?\nChoices:\nA: 0.5\n... | [
"mulberry_images/geoqa_plus/11759.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194498 | [
{
"from": "user",
"value": "<image>In the given diagram, if we fold the rectangular piece of paper ABCD along DE so that B and C land on points F and G respectively, and angle ADG is 20°, what is the measure of angle ADE?\nChoices:\nA: 25°\nB: 30°\nC: 35°\nD: 40°"
},
{
"from": "assistant",
"valu... | [
"mulberry_images/geoqa_plus/10988.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194499 | [
{
"from": "user",
"value": "<image>What is the degree of angle C in a curved pipe ABCD in the diagram if the angle of corner B measures 75° and pipe AB is parallel to CD?\nChoices:\nA: 105°\nB: 110°\nC: 120°\nD: 125°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is ab... | [
"mulberry_images/geoqa_plus/11141.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194500 | [
{
"from": "user",
"value": "<image>In the provided diagram, angle AOC and angle BOD are right angles. Given that angle DOC measures 38°, what is the angle AOB equal to?\nChoices:\nA: 128°\nB: 142°\nC: 38°\nD: 152°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem shows th... | [
"mulberry_images/geoqa_plus/10940.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194501 | [
{
"from": "user",
"value": "<image>In the diagram provided, triangles ABC and DEF are depicted with AB equal to DE, BC equal to EF, and the sum of angle B and angle E measuring 180 degrees. If the area of triangle ABC is stated to be 48 square centimeters, what is the area of triangle DEF?\nChoices:\nA: 48c... | [
"mulberry_images/geoqa_plus/11909.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194502 | [
{
"from": "user",
"value": "<image>What is the degree measure of angle ABE in the provided diagram, where points D and E are located on AB and AC, respectively? DE is parallel to BC, and angle ADE measures 60 degrees while angle EBC measures 25 degrees.\nChoices:\nA: 25°\nB: 30°\nC: 45°\nD: 35°"
},
{
... | [
"mulberry_images/geoqa_plus/11119.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194503 | [
{
"from": "user",
"value": "<image>If we consider the diagram where OA is perpendicular to OD, angle AOC is three times the measure of angle COD, and OC divides angle BOD in half, what is the degree measurement of angle AOB?\nChoices:\nA: 45°\nB: 46°\nC: 50°\nD: 60°"
},
{
"from": "assistant",
"v... | [
"mulberry_images/geoqa_plus/10943.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194504 | [
{
"from": "user",
"value": "<image>Given that angle 1 is 58° and angle B is 60° in the diagram, what is the degree measure of angle 2? \nChoices:\nA: 108°\nB: 62°\nC: 118°\nD: 128°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. We have triangle ABC with a line segment AD from vert... | [
"mulberry_images/geoqa_plus/11264.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194505 | [
{
"from": "user",
"value": "<image>What is the degree measure of angle A in triangle ABC when CD is the altitude on the oblique side AB and angle BCD measures 35°?\nChoices:\nA: 55°\nB: 45°\nC: 35°\nD: 25°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. There's a right triangle ABC... | [
"mulberry_images/geoqa_plus/11341.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194506 | [
{
"from": "user",
"value": "<image>Given that line DE is parallel to BC and passes through point A in the figure, if angle 1 measures 50 degrees and angle B measures 60 degrees, what is the measure of angle 2?\nChoices:\nA: 50°\nB: 60°\nC: 70°\nD: 80°"
},
{
"from": "assistant",
"value": "<think>... | [
"mulberry_images/geoqa_plus/10980.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194507 | [
{
"from": "user",
"value": "<image>Illustrated in the diagram is triangle ABC, where D and E signify the midpoints of sides BC and AD. Supposing the area of triangle ABC is 10 units, what can be determined about the area of triangle ABE?\nChoices:\nA: \\frac{5}{4}\nB: 3\nC: 2.5\nD: 5"
},
{
"from": "... | [
"mulberry_images/geoqa_plus/11753.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194508 | [
{
"from": "user",
"value": "<image>If we consider the regular pentagon ABCDE shown in the figure, and we connect points A and D, what is the measure of angle DAE?\nChoices:\nA: 46°\nB: 56°\nC: 36°\nD: 26°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure out the measure of a... | [
"mulberry_images/geoqa_plus/11256.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194509 | [
{
"from": "user",
"value": "<image>In the figure, triangle ABC is translated to triangle DEF. If angle DEF measures 35° and angle ACB measures 50°, what is the measure of angle A in triangle ABC?\nChoices:\nA: 65°\nB: 75°\nC: 95°\nD: 105°"
},
{
"from": "assistant",
"value": "<think> Okay, let's ... | [
"mulberry_images/geoqa_plus/11202.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194510 | [
{
"from": "user",
"value": "<image>In the given scenario where AB is parallel to CD and angle 1 measures 95°, what is the degree measure of angle 2?\nChoices:\nA: 85°\nB: 75°\nC: 65°\nD: 55°"
},
{
"from": "assistant",
"value": "<think> Okay, so there's this problem with two parallel lines, AB an... | [
"mulberry_images/geoqa_plus/11173.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194511 | [
{
"from": "user",
"value": "<image>Considering triangle ABC, which is congruent to triangle DEC, and a line drawn through point A perpendicular to CD, resulting in the foot of the perpendicular being point F, what is the measure of angle CAF if angle BCE measures 65 degrees?\nChoices:\nA: 15°\nB: 25°\nC: 35... | [
"mulberry_images/geoqa_plus/10928.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194512 | [
{
"from": "user",
"value": "<image>As shown in the given figure, point O is the intersection of line BO and AO, where line BO is perpendicular to AO. Moreover, line OB bisects angle COD. If the measure of angle BOD is 22.0 degrees, then what is the degree measure of angle AOC?\nChoices:\nA: 22°\nB: 46°\nC: ... | [
"mulberry_images/geoqa_plus/1186.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194513 | [
{
"from": "user",
"value": "<image>If the given rectangle ABCD, as depicted in the diagram, is folded along BD, causing point A to fall on point E, and the line DE intersects side BC at point F, what is the measure of angle DFC, assuming that angle ADB measures 20 degrees?\nChoices:\nA: 30°\nB: 60°\nC: 50°\... | [
"mulberry_images/geoqa_plus/10881.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194514 | [
{
"from": "user",
"value": "<image>Given that points A, B, and C lie on circle O and angle ABO is 43 degrees, what is the measure of angle ACB?\nChoices:\nA: 43°\nB: 45°\nC: 47°\nD: 50°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is about a circle with center O, and... | [
"mulberry_images/geoqa_plus/10908.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194515 | [
{
"from": "user",
"value": "<image>As shown in the figure, there is an intersection between line a and line b. If angle 1 added to angle 2 equals 240°, what is the degree measurement of angle 3?\nChoices:\nA: 40°\nB: 50°\nC: 60°\nD: 70°"
},
{
"from": "assistant",
"value": "<think> Okay, let's se... | [
"mulberry_images/geoqa_plus/10941.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194516 | [
{
"from": "user",
"value": "<image>If in the given figure, a ruler intersects with a right angle triangle ruler at points D and E, and its other side passes through point A and intersects with the right angle side BC at point F, with angle CAF measuring 42°, then what is the degree measure of angle CDE?\nCh... | [
"mulberry_images/geoqa_plus/10436.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194517 | [
{
"from": "user",
"value": "<image>Given that in triangle ABC, point D is the midpoint of BC and point E is the midpoint of AD, and the area of triangle ABC is known to be 10 square units, what is the area of triangle ABE?\nChoices:\nA: 1.25\nB: 3\nC: 2.5\nD: 5"
},
{
"from": "assistant",
"value"... | [
"mulberry_images/geoqa_plus/11981.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194518 | [
{
"from": "user",
"value": "<image>Given that AB and CD are chords of circle O, where BD is the diameter, and AC intersects BD at point E, what is the measure of angle AEB in the figure, if angle A is 50° and angle ABC is 65°?\nChoices:\nA: 95°\nB: 100°\nC: 105°\nD: 110°"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/10918.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194519 | [
{
"from": "user",
"value": "<image>Triangle ABC has points D and E located on sides AB and BC, respectively. If DE is parallel to side AC, and the ratio of the area of triangle DOE to the area of triangle COA is 1:9, and the area of triangle BDE is 3, then what is the area of triangle ABC?\nChoices:\nA: 9\n... | [
"mulberry_images/geoqa_plus/11650.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194520 | [
{
"from": "user",
"value": "<image>In the figure of parallelogram ABCD, where AB equals 5 and AD equals 3, and the bisector of angle BAD intersects CD at point E, and angle BAD is equal to angle BEC, what is the area of parallelogram ABCD?\nChoices:\nA: 5√{2}\nB: 8√{2}\nC: 10√{2}\nD: 15"
},
{
"from"... | [
"mulberry_images/geoqa_plus/11463.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194521 | [
{
"from": "user",
"value": "<image>In the diagram illustrating the scenario, point A is situated outside of circle O. Line segment AB is tangent to circle O at point B. Point P moves along circle O. Given that OB measures 5 units and AB measures 12 units, what is the smallest possible length for AP?\nChoice... | [
"mulberry_images/geoqa_plus/12623.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194522 | [
{
"from": "user",
"value": "<image>In triangle ABC, where AD acts as the median of side BC, points E and F are identified as the midpoints of AD and BE respectively. If the area of triangle BFD is known to be 1, can you determine the area of triangle ABC?\nChoices:\nA: 3\nB: 8\nC: 4\nD: 6"
},
{
"fro... | [
"mulberry_images/geoqa_plus/11800.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194523 | [
{
"from": "user",
"value": "<image>Rectangle ABCD is shown in the diagram, with the two diagonals intersecting at point O. When angle AOD measures 60 degrees and AD measures 1, what is the length of AB?\nChoices:\nA: 1\nB: 2\nC: √{3}\nD: 2√{3}"
},
{
"from": "assistant",
"value": "<think> Alright... | [
"mulberry_images/geoqa_plus/12949.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194524 | [
{
"from": "user",
"value": "<image>In the figure shown, if AB is parallel to CD and angle 2 is known to be 125.0 degrees, what is the value of angle 1?\nChoices:\nA: 75°\nB: 65°\nC: 55°\nD: 45°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure this out. So, there's this geo... | [
"mulberry_images/geoqa_plus/1275.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194525 | [
{
"from": "user",
"value": "<image>Triangle ABC is shown in the figure, with the measurements of AB, AC, and BC being 3, 3, and 2 units, respectively. Using points A and B as centers, two arcs are drawn, each exceeding 0.5 times the length of AB. The intersecting points of these arcs are labeled M and N. A ... | [
"mulberry_images/geoqa_plus/12503.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194526 | [
{
"from": "user",
"value": "<image>Given the rectangle ABCD with intersecting diagonals AC and BD at point O, angle AOB measuring 60 degrees, and a diagonal BD of length 8, what is the length of DC?\nChoices:\nA: 4√{3}\nB: 4\nC: 3\nD: 5"
},
{
"from": "assistant",
"value": "<think> Okay, let's se... | [
"mulberry_images/geoqa_plus/12740.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194527 | [
{
"from": "user",
"value": "<image>In the given image, where a mathematics interest group in a specific school uses benchmark BE to measure the height of an object, it is known that benchmark BE stands at a height of 1.5 meters. Additionally, measurements of AB and AC yield measurements of 1.2 meters and 14... | [
"mulberry_images/geoqa_plus/12550.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194528 | [
{
"from": "user",
"value": "<image>Consider the rectangle ABCD shown in the diagram, with its diagonals intersecting at point O and angle AOB measuring 60 degrees. If the length of AO is 6 units, what is the value of AB?\nChoices:\nA: 4\nB: 5\nC: 6\nD: 8"
},
{
"from": "assistant",
"value": "<thi... | [
"mulberry_images/geoqa_plus/12666.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194529 | [
{
"from": "user",
"value": "<image>If the diagonal AC of rectangle ABCD is 4 units and triangle AOB is an equilateral triangle, what is the length of side AD in the figure?\nChoices:\nA: 2\nB: 3\nC: 2√{2}\nD: 2√{3}"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. We have a rectangle... | [
"mulberry_images/geoqa_plus/12806.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194530 | [
{
"from": "user",
"value": "<image>In the given figure, with AB being parallel to CD and angle 2 measuring 125.0 degrees, what is the measure of angle 1?\nChoices:\nA: 75°\nB: 65°\nC: 55°\nD: 45°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem shows that AB is parallel ... | [
"mulberry_images/geoqa_plus/1275.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194531 | [
{
"from": "user",
"value": "<image>Given the diagram depicting a river width measurement, where BD measures 150m, DC measures 75m, and EC measures 60m, what is the length of AB?\nChoices:\nA: 60m\nB: 80m\nC: 100m\nD: 120m"
},
{
"from": "assistant",
"value": "<think> Alright, so I need to figure ... | [
"mulberry_images/geoqa_plus/12549.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194532 | [
{
"from": "user",
"value": "<image>If there is a ladder of length 2.5 units, and one end is positioned 1.5 units away from the corner of the wall while the other end is against the wall, what is the distance between the top of the ladder and the corner?\nChoices:\nA: 0.2米\nB: 0.4米\nC: 2米\nD: 4米"
},
{
... | [
"mulberry_images/geoqa_plus/1538.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194533 | [
{
"from": "user",
"value": "<image>If in circle O, quadrilateral ABCD is inscribed with a radius of 3 and CD as the diameter, and angle ABC measures 110 degrees, then what is the area of sector AOD?\nChoices:\nA: \\frac{7π}{4}\nB: π\nC: 3.5π\nD: 2π"
},
{
"from": "assistant",
"value": "<think> Ok... | [
"mulberry_images/geoqa_plus/11659.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194534 | [
{
"from": "user",
"value": "<image>Given that a point C is chosen on the same side of line AB in order to measure the distance between points A and B along the pond's edge and that line CA is extended to point D and line CB is extended to point E to ensure that A and B become the midpoints of CD and CE resp... | [
"mulberry_images/geoqa_plus/13018.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194535 | [
{
"from": "user",
"value": "<image>As illustrated in the diagram, point O is the intersection of lines AB and CD. Line AD is parallel to CB. Given that AO, BO, and OD measure 2, 3, and 2.4 respectively, what is the length of CO?\nChoices:\nA: 2.4\nB: 3\nC: 4\nD: 3.6"
},
{
"from": "assistant",
"v... | [
"mulberry_images/geoqa_plus/12546.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194536 | [
{
"from": "user",
"value": "<image>If the length of AB in rectangle ABCD is 5 units and angle AOB measures 60°, what is the length of diagonal AC formed by the intersection of lines AC and BD at point O?\nChoices:\nA: 5\nB: 7.5\nC: 10\nD: 15"
},
{
"from": "assistant",
"value": "<think> Okay, so ... | [
"mulberry_images/geoqa_plus/12857.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194537 | [
{
"from": "user",
"value": "<image>In the given diagram, triangle ABC is depicted with point D arbitrarily chosen on side BC. The midpoints of segments AD and CE are labeled as E and F respectively. If the area of triangle ABC is 12, what is the area of triangle BEF?\nChoices:\nA: 6\nB: 4\nC: 3\nD: 4.8"
}... | [
"mulberry_images/geoqa_plus/11869.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194538 | [
{
"from": "user",
"value": "<image>If a ladder of length 2.5 units is placed against a wall, with one end positioned 1.5 units away from the corner of the wall, what is the distance between the top of the ladder and the corner?\nChoices:\nA: 0.2米\nB: 0.4米\nC: 2米\nD: 4米"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/1538.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194539 | [
{
"from": "user",
"value": "<image>With reference to the figure depicting rhombus ABCD, where the diagonals AC and BD intersect at point O, and M denotes the midpoint of side AB, if the length of MO is known to be 4cm, what is the perimeter of rhombus ABCD?\nChoices:\nA: 32cm\nB: 24cm\nC: 16cm\nD: 8cm"
},... | [
"mulberry_images/geoqa_plus/12073.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194540 | [
{
"from": "user",
"value": "<image>As presented in the diagram of triangle ABC with BC = 6 and BD as the median, if E lies on BD and ray AE intersects BC at F, what is the value of FC if BE is 2 times DE?\nChoices:\nA: 2\nB: 2.5\nC: 3\nD: 3.5"
},
{
"from": "assistant",
"value": "<think> Okay, so... | [
"mulberry_images/geoqa_plus/11414.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194541 | [
{
"from": "user",
"value": "<image>Given the figure where vertex A and vertex B are separated by a pond, the goal is to determine the distance between them. To achieve this, a point C is selected outside segment AB, and lines AC and BC are drawn to locate the midpoints D and E. Segment DE is then formed. If... | [
"mulberry_images/geoqa_plus/1439.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194542 | [
{
"from": "user",
"value": "<image>As depicted in the figure, a piece of paper with identical width is folded. If angle ABC is 120 degrees, what is the measure of angle 1?\nChoices:\nA: 60°\nB: 120°\nC: 80°\nD: 70°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find angle 1 when... | [
"mulberry_images/geoqa_plus/1349.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194543 | [
{
"from": "user",
"value": "<image>Given the figure depicting point C inside angle BAD, and lines CB and CD being connected, if angle A equals 80°, angle B equals 10°, and angle D equals 40°, what is the measure of angle BCD?\nChoices:\nA: 110°\nB: 120°\nC: 130°\nD: 150°"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/11346.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194544 | [
{
"from": "user",
"value": "<image>In the diagram of triangle ABC, it is illustrated that angle AED is equal to angle B. If AB measures 10, AE measures 8, and DE measures 6, what is the length of BC?\nChoices:\nA: \\frac{40}{3}\nB: \\frac{24}{5}\nC: \\frac{15}{4}\nD: \\frac{15}{2}"
},
{
"from": "ass... | [
"mulberry_images/geoqa_plus/12599.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194545 | [
{
"from": "user",
"value": "<image>What is the equivalent area of triangle PBD when point P is positioned on the angle bisector CF of exterior angle DCE in square ABCD with BD measuring 2 units?\nChoices:\nA: 1\nB: √{2}\nC: 2\nD: 无法确定"
},
{
"from": "assistant",
"value": "<think> Okay, let me try... | [
"mulberry_images/geoqa_plus/11612.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194546 | [
{
"from": "user",
"value": "<image>If the figure displayed has points E and F as the midpoints of BD and CE respectively, and the area of triangle AEF is given as 3, what is the area of triangle ABC?\nChoices:\nA: 9\nB: 10\nC: 11\nD: 12"
},
{
"from": "assistant",
"value": "<think> Okay, let me t... | [
"mulberry_images/geoqa_plus/11821.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194547 | [
{
"from": "user",
"value": "<image>In the provided diagram, triangle ABC has BD as its median, and E and F are the midpoints of BD and CE respectively. If the area of triangle AEF is 3, what would be the area of triangle ABC?\nChoices:\nA: 9\nB: 10\nC: 11\nD: 12"
},
{
"from": "assistant",
"value... | [
"mulberry_images/geoqa_plus/11807.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194548 | [
{
"from": "user",
"value": "<image>In the figure displaying rectangle ABCD, point O represents the intersection of diagonal AC and diagonal BD. With angle AOB measuring 60° and the length of AB equal to 2 units, what is the length of AC?\nChoices:\nA: 4\nB: 6\nC: 8\nD: 10"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/12790.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194549 | [
{
"from": "user",
"value": "<image>Considering the diagram illustrating triangle ABC, where BD serves as the median and E and F denote the midpoints of BD and CE respectively, if the area of triangle AEF is 3 square centimeters, what is the measure of the area of triangle ABC?\nChoices:\nA: 6cm2\nB: 9cm2\nC... | [
"mulberry_images/geoqa_plus/11965.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194550 | [
{
"from": "user",
"value": "<image>In the figure provided, the right triangle ABC has the angle C equaling 90 degrees. The line segment BD acts as the angle bisector for angle ABC. Given that CD measures 4 and AB measures 14, what is the area of triangle ABD?\nChoices:\nA: 56\nB: 28\nC: 14\nD: 12"
},
{
... | [
"mulberry_images/geoqa_plus/11534.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194551 | [
{
"from": "user",
"value": "<image>Given the diagram, triangle ABC is congruent to triangle DEC, with corresponding vertices A and D, and B and E. Point A is connected to point F, forming a perpendicular AF to CD. If angle BCE is 60°, what is the measure of angle CAF?\nChoices:\nA: 35°\nB: 30°\nC: 60°\nD: 6... | [
"mulberry_images/geoqa_plus/11285.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194552 | [
{
"from": "user",
"value": "<image>Given that angle BAC in parallelogram ABCD is a right angle measuring 90 degrees, AC measures 6 units, and BD measures 12 units, what is the measurement of side AB?\nChoices:\nA: 3√{3}\nB: 4√{3}\nC: 6\nD: 8"
},
{
"from": "assistant",
"value": "<think> Okay, so ... | [
"mulberry_images/geoqa_plus/12684.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194553 | [
{
"from": "user",
"value": "<image>If a rhombus ABCF is formed within the regular pentagon ABCDE, as shown in the figure, what is the measure of angle FAE?\nChoices:\nA: 30°\nB: 32°\nC: 36°\nD: 40°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure this out. So, we have a re... | [
"mulberry_images/geoqa_plus/11287.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194554 | [
{
"from": "user",
"value": "<image>Let ABC be a triangle, as shown in the figure, with points D and E lying on the sides AB and AC respectively. It is known that DE is parallel to BC and that point F is situated on the extension of line BC. Given that angle ACF is equal to 140.0 degrees and angle ADE is equ... | [
"mulberry_images/geoqa_plus/1543.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194555 | [
{
"from": "user",
"value": "<image>If triangle ABC is displayed in the figure, where AB is equal to AC, and both point D and point E are located on sides BC and AC, and DE is perpendicular to AD, determine the degree measurement of angle DEC given that angle BAD is 55° and angle B is 50°.\nChoices:\nA: 125°... | [
"mulberry_images/geoqa_plus/11311.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194556 | [
{
"from": "user",
"value": "<image>To determine the width AB of a swimming pool, what steps should be followed if a point P outside the pool needs to be selected, with points C and D serving as the midpoints of PA and PB, respectively, and CD is measured as 8 meters?\nChoices:\nA: 16m\nB: 14m\nC: 12m\nD: 10... | [
"mulberry_images/geoqa_plus/12077.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194557 | [
{
"from": "user",
"value": "<image>In the given diagram of rectangle ABCD, diagonal AC intersects diagonal BD at point O. If angle ADB measures 30 degrees and AB is equal to 4 units, what will be the value of OC?\nChoices:\nA: 5\nB: 4\nC: 3.5\nD: 3"
},
{
"from": "assistant",
"value": "<think> Ok... | [
"mulberry_images/geoqa_plus/12865.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194558 | [
{
"from": "user",
"value": "<image>Given the diagram with circle O, in which the diameter AB has a length of 15 units and chord DE is perpendicular to AB at point C, if the ratio of OC to OB is 0.6, what is the measurement of DE?\nChoices:\nA: 6\nB: 9\nC: 12\nD: 15"
},
{
"from": "assistant",
"va... | [
"mulberry_images/geoqa_plus/12685.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194559 | [
{
"from": "user",
"value": "<image>What is the perimeter of quadrilateral ABCD if AC bisects angle DAB and AB measures 2 units, as depicted in the diagram?\nChoices:\nA: 4\nB: 6\nC: 8\nD: 12"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure out the perimeter of quadrilateral... | [
"mulberry_images/geoqa_plus/13094.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194560 | [
{
"from": "user",
"value": "<image>In rhombus ABCD, as depicted in the figure, if BD measures 8, AC measures 6, AE is perpendicular to CD, and E represents the foot of the perpendicular, what is the measurement of AE?\nChoices:\nA: 1.2\nB: 2.4\nC: 4.8\nD: 5"
},
{
"from": "assistant",
"value": "<... | [
"mulberry_images/geoqa_plus/12777.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194561 | [
{
"from": "user",
"value": "<image>In the given figure, if line AB serves as the diameter of circle O, with line DA being a tangent to point A, and line DO intersects circle O at point C, leading to the connection of BC, what is the degree measurement of angle D if angle ABC equals 21 degrees?\nChoices:\nA:... | [
"mulberry_images/geoqa_plus/10382.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194562 | [
{
"from": "user",
"value": "<image>Given the situation, Xiaoming needs to measure the distance between pond A and pond B using a ruler that does not have direct measuring capabilities for this distance. By selecting a point O on the ground, connecting it to A and B, finding midpoints C and D, and connecting... | [
"mulberry_images/geoqa_plus/13041.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194563 | [
{
"from": "user",
"value": "<image>What is the perimeter of triangle DEC if in triangle ABC, AB = 8, BC = 12, and AC = 10, with D and E being the midpoints of sides BC and CA?\nChoices:\nA: 15\nB: 18\nC: 20\nD: 22"
},
{
"from": "assistant",
"value": "<think> Alright, let's tackle this problem st... | [
"mulberry_images/geoqa_plus/13029.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194564 | [
{
"from": "user",
"value": "<image>Given the diagram of diamond ABCD, with AC measuring 6 units, BD measuring 8 units, and AH forming a perpendicular line with BC at point H, what is the value of AH?\nChoices:\nA: 24\nB: 10\nC: \\frac{24}{5}\nD: \\frac{12}{5}"
},
{
"from": "assistant",
"value": ... | [
"mulberry_images/geoqa_plus/12085.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194565 | [
{
"from": "user",
"value": "<image>Given that point O represents the intersection of diagonals AC and BD in rectangle ABCD, and point E is the midpoint of side BC, also knowing that angle OCB is measured at 30°, what is the length of diagonal BD with OE equal to 2?\nChoices:\nA: 4\nB: 6\nC: 8\nD: 10"
},
... | [
"mulberry_images/geoqa_plus/12861.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194566 | [
{
"from": "user",
"value": "<image>In circle O, if angle ACB measures 22.0 degrees and points A, B, and C all lie on the circle, what is the degree measure of angle AOB?\nChoices:\nA: 11°\nB: 22°\nC: 44°\nD: 66°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the measure of ... | [
"mulberry_images/geoqa_plus/1861.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194567 | [
{
"from": "user",
"value": "<image>What is the length of the second diagonal of a rhombus if one diagonal measures 7 units and the area is 28 square units?\nChoices:\nA: 8\nB: 10\nC: 12\nD: 14"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is about a rhombus with one d... | [
"mulberry_images/geoqa_plus/12770.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194568 | [
{
"from": "user",
"value": "<image>Given a diagram showing triangle ABC and triangle DEF, both similar and with point O as the center of similarity, what is the ratio of the perimeters of triangle ABC and triangle DEF if OC to OF has a ratio of 0.333333?\nChoices:\nA: 1：2\nB: 1：3\nC: 1：4\nD: 1：√{2}"
},
... | [
"mulberry_images/geoqa_plus/12557.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194569 | [
{
"from": "user",
"value": "<image>Consider the figure, where circle O is tangent to line PA at point A. Line OP intersects circle O at point C. Point B lies on circle O and angle ABC is measured at 24°. Find the measure of angle APC.\nChoices:\nA: 31°\nB: 42°\nC: 53°\nD: 64°"
},
{
"from": "assistan... | [
"mulberry_images/geoqa_plus/10931.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194570 | [
{
"from": "user",
"value": "<image>Given square ABCD, with E and F positioned on the diagonal BD, such that BD equals 12 and BE equals DF, both measuring 8, what is the area of quadrilateral AECF?\nChoices:\nA: 24\nB: 12\nC: 4√{10}\nD: 2√{10}"
},
{
"from": "assistant",
"value": "<think> Okay, le... | [
"mulberry_images/geoqa_plus/11610.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194571 | [
{
"from": "user",
"value": "<image>In the provided diagram, AB intersects CD at point O, with AD being parallel to CB. Knowing that the lengths of AO, BO, and OD are 2, 3, and 2.4 respectively, what is the length of CO?\nChoices:\nA: 2.4\nB: 3\nC: 4\nD: 3.6"
},
{
"from": "assistant",
"value": "<... | [
"mulberry_images/geoqa_plus/12546.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194572 | [
{
"from": "user",
"value": "<image>In the given diagram, a set square is placed such that the acute vertex A of the right-angled triangle ruler AOB aligns with the right-angled vertex C of another triangle ruler ACD. The measure of angle OAB is 45° and angle C measures 60°. If AD intersects OB at point E an... | [
"mulberry_images/geoqa_plus/11058.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194573 | [
{
"from": "user",
"value": "<image>If the lengths of sides AB and BC of the triangle ABC are both equal to √{3}, and angle BAC is 30°, what is the area of quadrilateral ABCD, where points A and C are used as the centers to draw arcs with AC as the radius and intersecting at point D?\nChoices:\nA: 6√{3}\nB: ... | [
"mulberry_images/geoqa_plus/11545.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194574 | [
{
"from": "user",
"value": "<image>Within the context of a practical activity class, Xiaoming is tasked with measuring the distance between two points, B and C, on a pond. To fulfill this objective, he begins by selecting point A on one side of the pond. Then, he measures the midpoints of AB and AC, designa... | [
"mulberry_images/geoqa_plus/1509.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194575 | [
{
"from": "user",
"value": "<image>If AD is the midline of triangle ABC and E is the midpoint of AD in the provided diagram, and the area of triangle ABE is known to be 2, what is the area of triangle ABC?\nChoices:\nA: 5\nB: 6\nC: 7\nD: 8"
},
{
"from": "assistant",
"value": "<think> Okay, let's... | [
"mulberry_images/geoqa_plus/12037.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194576 | [
{
"from": "user",
"value": "<image>If the provided diagram depicts triangle ABC, with O being the circumcircle and AB being the diameter, and if OC and AC both have a length of 5 units, what is the measurement of BC?\nChoices:\nA: 10\nB: 9\nC: 8\nD: 5√{3}"
},
{
"from": "assistant",
"value": "<th... | [
"mulberry_images/geoqa_plus/12695.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194577 | [
{
"from": "user",
"value": "<image>Given the diagram illustrating triangle ABC, where BD functions as the median and E and F represent the midpoints of BD and CE respectively, if the area of triangle AEF is determined to be 3 cm^2, what is the area of triangle ABC?\nChoices:\nA: 6cm2\nB: 9cm2\nC: 12cm2\nD: ... | [
"mulberry_images/geoqa_plus/11965.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194578 | [
{
"from": "user",
"value": "<image>In the provided figure, triangle ABC is shown with angle bisectors for angles ABC and ACB intersecting at point O. Likewise, the intersection point of angle bisectors for angles ACF and ABC is marked as D. Furthermore, point E represents the intersection of the exterior an... | [
"mulberry_images/geoqa_plus/11331.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194579 | [
{
"from": "user",
"value": "<image>In the provided diagram, a road proceeds through two turns and eventually returns to its original orientation. If the measure of the angle for the first turn is 150°, what is the measurement of the angle associated with the second turn?\nChoices:\nA: 40°\nB: 50°\nC: 140°\n... | [
"mulberry_images/geoqa_plus/11304.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194580 | [
{
"from": "user",
"value": "<image>With reference to the given diagram, which displays triangle ABC, point D is indicated as the midpoint of side AB, and point E as the midpoint of side BC. If the area of triangle ABC is determined to be 12 square units, what can be inferred about the area of the shaded reg... | [
"mulberry_images/geoqa_plus/11789.png"
] | vision_r1_mulberry_sft_full |
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