id stringlengths 29 36 | conversations listlengths 1 48 | images listlengths 1 1 | source_dataset stringclasses 2
values |
|---|---|---|---|
vision_r1_mulberry_sft_full-193581 | [
{
"from": "user",
"value": "<image>Fill in the blank. Move the ruler to measure the length of the sword to the nearest inch. The sword is about (_) inches long."
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The image depicts shows the sword starts at 0 on the ruler and goes past ... | [
"mulberry_images/cauldron/iconqa/images/iconqa_00026407.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193582 | [
{
"from": "user",
"value": "<image>What is the time period covered by the data represented in the bar chart?"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The user is asking about the time period covered by the data in the bar chart. The image provided depicts that the survey was... | [
"mulberry_images/lrv_chart/6389.jpg"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193583 | [
{
"from": "user",
"value": "<image>Fill in the blank. Move the ruler to measure the length of the line to the nearest centimeter. The line is about (_) centimeters long."
},
{
"from": "assistant",
"value": "<think> Okay, so the problem is about measuring a gray line using a ruler. From the image... | [
"mulberry_images/cauldron/iconqa/images/iconqa_00025567.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193584 | [
{
"from": "user",
"value": "<image>There are 8 snowflakes in the top ten frame. How many snowflakes are in the bottom ten frame?"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure this out. The problem shows there's a top ten frame with 8 snowflakes and asks how many are in ... | [
"mulberry_images/cauldron/iconqa/images/iconqa_00026416.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193585 | [
{
"from": "user",
"value": "<image>How many flowers are there?"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is asking how many flowers are there based on the given image. The image shows shows there's a single illustration of an orange flower with a yellow center. It... | [
"mulberry_images/cauldron/iconqa/images/iconqa_00022258.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193586 | [
{
"from": "user",
"value": "<image>If angle 1 measures 105 degrees and AB is parallel to CD in the provided figure, what is the measure of angle 2?\nChoices:\nA: 105°\nB: 85°\nC: 75°\nD: 65°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure this out. So, there are two paral... | [
"mulberry_images/geoqa_plus/11137.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193587 | [
{
"from": "user",
"value": "<image>Fill in the blank. Move the ruler to measure the length of the line to the nearest centimeter. The line is about (_) centimeters long."
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem depicts there's a wooden ruler marked from 0 to 10 c... | [
"mulberry_images/cauldron/iconqa/images/iconqa_00025748.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193588 | [
{
"from": "user",
"value": "<image>Within circle O, where AB represents the diameter and CD is a chord, if angle ACD is 40°, what will be the degree measure of angle BAD?\nChoices:\nA: 40°\nB: 45°\nC: 50°\nD: 60°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to figure out the meas... | [
"mulberry_images/geoqa_plus/10215.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193589 | [
{
"from": "user",
"value": "<image>Which dealership is at the beginning of the y-axis scale?"
},
{
"from": "assistant",
"value": "<think> Okay, let me think about this. The question is asking which dealership is at the beginning of the y-axis scale in the showed horizontal bar graph. First, I ne... | [
"mulberry_images/lrv_chart/7125.jpg"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193590 | [
{
"from": "user",
"value": "<image>What fraction of the shape is orange?\nChoices:\nA. 3/10\nB. 1/3\nC. 4/6\nD. 1/9"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure this out. The problem depicts there's a circle divided into three equal parts, with one section shaded orang... | [
"mulberry_images/cauldron/iconqa/images/iconqa_00000120.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193591 | [
{
"from": "user",
"value": "<image>Fill in the blank. Move the ruler to measure the length of the line to the nearest centimeter. The line is about (_) centimeters long."
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure this out. The problem depicts there's a gray horizontal... | [
"mulberry_images/cauldron/iconqa/images/iconqa_00024634.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193592 | [
{
"from": "user",
"value": "<image>How many birds are there?"
},
{
"from": "assistant",
"value": "<think> Okay, let me see. The user provided an image. The key points here are: \"single illustration of a colorful bird\" and \"no other birds or additional elements in the image.\" So the question ... | [
"mulberry_images/cauldron/iconqa/images/iconqa_00020001.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193593 | [
{
"from": "user",
"value": "<image>In the figure shown, if angle ACB is 50 degrees and points A, B, and C lie on circle O, what is the measure of angle AOB?\nChoices:\nA: 130°\nB: 100°\nC: 50°\nD: 40°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem depicts angle ACB is ... | [
"mulberry_images/geoqa_plus/3169.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193594 | [
{
"from": "user",
"value": "<image>Given that AB is parallel to CD and DA is perpendicular to DB in the figure, and angle ADC is given as 32°, what is the measure of angle ABD?\nChoices:\nA: 32°\nB: 45°\nC: 58°\nD: 68°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure out th... | [
"mulberry_images/geoqa_plus/11117.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193595 | [
{
"from": "user",
"value": "<image>In the diagram, the intersection of lines AB and CD is represented by point O. The foot of the perpendicular line EO lies on AB, with the point of intersection being denoted by O. Given that angle COA is 30 degrees, what is the size of angle EOD?\nChoices:\nA: 60°\nB: 120°... | [
"mulberry_images/geoqa_plus/11181.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193596 | [
{
"from": "user",
"value": "<image>As can be seen in the diagram, the ray OC functions as the angle bisector of angle AOB. Given that point D is positioned on ray OC, and a line DP is drawn perpendicular to OA at point P, with a length of 5, and point Q is located on the ray OB with OQ measuring 3 units, wh... | [
"mulberry_images/geoqa_plus/11539.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193597 | [
{
"from": "user",
"value": "<image>Given the figure, triangle ABC is shown with angle C equal to 90.0 degrees. Point D lies on the edge BC, and DE is parallel to AB. When angle CDE is measured at 150.0 degrees, what is the degree value of angle A?\nChoices:\nA: 30°\nB: 60°\nC: 120°\nD: 150°"
},
{
"f... | [
"mulberry_images/geoqa_plus/151.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193598 | [
{
"from": "user",
"value": "<image>As depicted in the picture, with line AB being parallel to line CD and angle 2 measuring 34°, while angle E forms a right angle, what is the degree measure of angle 1?\nChoices:\nA: 124°\nB: 134°\nC: 136°\nD: 138°"
},
{
"from": "assistant",
"value": "<think> Ok... | [
"mulberry_images/geoqa_plus/10829.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193599 | [
{
"from": "user",
"value": "<image>Consider the figure in which circle O is represented with AB as its diameter and CD as a chord. The lines BD and OC are connected. If angle AOC is equal to 120.0 degrees, what is the value of angle D?\nChoices:\nA: 60°\nB: 45°\nC: 30°\nD: 20°"
},
{
"from": "assista... | [
"mulberry_images/geoqa_plus/1820.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193600 | [
{
"from": "user",
"value": "<image>Given the figure, with line a parallel to line b and line b parallel to line c, the right angle of a right-angled triangle lies on line b. If angle 1 is equal to 54 degrees, what is the magnitude of angle 2?\nChoices:\nA: 24°\nB: 36°\nC: 54°\nD: 64°"
},
{
"from": "... | [
"mulberry_images/geoqa_plus/10987.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193601 | [
{
"from": "user",
"value": "<image>In the figure provided, where circle O is shown with AB as its diameter and the lengths of arc BC and arc BD are equal, if angle A measures 25 degrees, what is the degree of angle BOD?\nChoices:\nA: 25°\nB: 50°\nC: 12.5°\nD: 30°"
},
{
"from": "assistant",
"valu... | [
"mulberry_images/geoqa_plus/23.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193602 | [
{
"from": "user",
"value": "<image>As shown in the diagram, right triangle ABC has angle ACB measuring 90 degrees. Three squares are constructed outside of triangle ABC, with the sides of the triangle serving as the edges of these squares. The areas of these squares are represented as S1, S2, and S3, and if... | [
"mulberry_images/geoqa_plus/11356.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193603 | [
{
"from": "user",
"value": "<image>If angle AOB in rectangle ABCD measures 60 degrees, AC has a length of 4 units, and the diagonals intersect at point O, what is the value of BC?\nChoices:\nA: 2\nB: 3\nC: 2√{3}\nD: 3√{2}"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the l... | [
"mulberry_images/geoqa_plus/12900.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193604 | [
{
"from": "user",
"value": "<image>Considering the quadrilateral ABCD with BD perpendicular to AD and AB and AD measuring 10 and 6, what is the length of the diagonal EF in the rectangle DEBF constructed inside it?\nChoices:\nA: 8\nB: 9\nC: 10\nD: 11"
},
{
"from": "assistant",
"value": "<think> ... | [
"mulberry_images/geoqa_plus/11501.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193605 | [
{
"from": "user",
"value": "<image>In the diagram, a rhombus ABCD is shown, where point O denotes the intersection of the diagonals AC and BD. Point E lies on AB and is connected to O by the perpendicular line segment OE. Given that angle ADC measures 110°, what is the degree of angle AOE?\nChoices:\nA: 20°... | [
"mulberry_images/geoqa_plus/10676.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193606 | [
{
"from": "user",
"value": "<image>Triangle ABC is shown in the figure, where angle ACB is a right angle. AD is the bisector of angle BAC. With BC measuring 8cm and a distance of 3cm from point D to AB, what is the measurement of DB?\nChoices:\nA: 3cm\nB: 8cm\nC: 6cm\nD: 5cm"
},
{
"from": "assistant... | [
"mulberry_images/geoqa_plus/12481.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193607 | [
{
"from": "user",
"value": "<image>In the given figure, if E and F are the midpoints of segments BD and CE respectively, and the area of triangle AEF is 3, what is the area of triangle ABC?\nChoices:\nA: 9\nB: 10\nC: 11\nD: 12"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figur... | [
"mulberry_images/geoqa_plus/12025.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193608 | [
{
"from": "user",
"value": "<image>Given that line a is parallel to line b, point B lies on line b, and AB is perpendicular to BC in the provided diagram, what is the degree measure of angle 2 if angle 1 is 55°?\nChoices:\nA: 25°\nB: 35°\nC: 45°\nD: 55°"
},
{
"from": "assistant",
"value": "<thin... | [
"mulberry_images/geoqa_plus/11177.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193609 | [
{
"from": "user",
"value": "<image>In the given figure, if D and E are the midpoints of sides AB and AC in triangle ABC, and the area of quadrilateral BCED is 15, what is the area of triangle ABC?\nChoices:\nA: 30\nB: 25\nC: 22.5\nD: 20"
},
{
"from": "assistant",
"value": "<think> Okay, let's tr... | [
"mulberry_images/geoqa_plus/11512.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193610 | [
{
"from": "user",
"value": "<image>Consider the figure provided, where lines l1 and l2 are shown to be parallel to each other. Point O is situated on line l1. A triangular plate is positioned with its right angle vertex at point O, and the two sides of the plate that form right angles intersect line l2 at p... | [
"mulberry_images/geoqa_plus/11015.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193611 | [
{
"from": "user",
"value": "<image>According to the given diagram, person A starts at point A and walks towards the north-northeast (65°) until they reach point B. Simultaneously, person B starts at point A and walks towards the south-southwest (20°) until they reach point C. Find the measure of angle BAC.\... | [
"mulberry_images/geoqa_plus/11022.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193612 | [
{
"from": "user",
"value": "<image>Given the figure showing circle O with points A, B, and C lying on its circumference, and with the line segments OA, OB, OC, BC, and AC formed accordingly, if AC happens to be parallel to OB, OC is equal to 4 units, and AB is equal to 5 units, what will be the length of BC... | [
"mulberry_images/geoqa_plus/12701.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193613 | [
{
"from": "user",
"value": "<image>In the diagram provided, circle O has AB as its diameter, with points C and D positioned on its circumference. C is located as the midpoint of arc BAD. Connect CD, CB, and OD. When CD intersects with AB at point F and angle AOD is 100 degrees, what is the degree measure of... | [
"mulberry_images/geoqa_plus/10355.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193614 | [
{
"from": "user",
"value": "<image>In the provided diagram, triangle ABC is inscribed within circle O. The diameter of circle O is represented by segment AD. If angle ABC measures 25.0 degrees, what is the measure of angle CAD?\nChoices:\nA: 25°\nB: 50°\nC: 65°\nD: 75°"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/27.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193615 | [
{
"from": "user",
"value": "<image>Given that line segment AB is tangent to circle O at point B in the provided diagram, and points A and B are connected, with angle A measuring 30 degrees and OB measuring 1 unit, what is the length of AB?\nChoices:\nA: 0.5\nB: √{3}\nC: 2\nD: 2√{3}"
},
{
"from": "as... | [
"mulberry_images/geoqa_plus/12609.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193616 | [
{
"from": "user",
"value": "<image>We have a regular hexagon ABCDEF and inside it, a square BCGH is constructed. What is the size of angle HAB when line segment AH is connected?\nChoices:\nA: 75°\nB: 60°\nC: 55°\nD: 45°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. I need to find... | [
"mulberry_images/geoqa_plus/11217.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193617 | [
{
"from": "user",
"value": "<image>When considering the diagram with OE being perpendicular to AB and the line CD passing through point O, if angle COA measures 35 degrees, what is the size of the complement of angle BOD?\nChoices:\nA: 35°\nB: 45°\nC: 55°\nD: 60°"
},
{
"from": "assistant",
"valu... | [
"mulberry_images/geoqa_plus/10822.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193618 | [
{
"from": "user",
"value": "<image>If AB is 13, AD is 5, and AC is perpendicular to BC as shown in the figure of quadrilateral ABCD, what is the area of the quadrilateral?\nChoices:\nA: 30\nB: 60\nC: 65\nD: 32.5"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure this out. The... | [
"mulberry_images/geoqa_plus/11461.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193619 | [
{
"from": "user",
"value": "<image>Given the figure of rectangle ABCD, where point O is the intersection of its two diagonals and angle AOB measures 60°, if the length of AO is 4 units, what is the measurement of side AB?\nChoices:\nA: 4\nB: 5\nC: 6\nD: 8"
},
{
"from": "assistant",
"value": "<th... | [
"mulberry_images/geoqa_plus/12795.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193620 | [
{
"from": "user",
"value": "<image>In the diagram illustrating a right triangle ABC, angle ACB is found to be 90° while angle A measures 50°. Suppose we fold the triangle along the line CD, causing point A to meet point A' on side BC. What is the measure of angle A'DC?\nChoices:\nA: 10°\nB: 30°\nC: 65°\nD: ... | [
"mulberry_images/geoqa_plus/11228.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193621 | [
{
"from": "user",
"value": "<image>In the provided figure, triangle ABC is depicted with AB measuring 10 units and AC measuring 6 units. AD serves as the angle bisector, AE as the median, CF as a perpendicular line to AD at point F. If EF is drawn to connect points E and F, what is the length of line segmen... | [
"mulberry_images/geoqa_plus/13004.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193622 | [
{
"from": "user",
"value": "<image>Given the diagram where AB is parallel to CD and CE bisects angle ACD, and angle A measures 120 degrees, what is the degree measure of angle 1?\nChoices:\nA: 45°\nB: 60°\nC: 40°\nD: 30°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. I need to fin... | [
"mulberry_images/geoqa_plus/11153.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193623 | [
{
"from": "user",
"value": "<image>Given the diagram of triangle ABC, where D and E are located on sides AB and AC respectively, with DE being parallel to BC, the area of triangle ADE is 0.125 times the area of quadrilateral DBCE. Find the ratio of AD to BD.\nChoices:\nA: 1：9\nB: 1：3\nC: 1：8\nD: 1：2"
},
... | [
"mulberry_images/geoqa_plus/12573.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193624 | [
{
"from": "user",
"value": "<image>In the provided figure, lines PA and PB are tangent to circle O at points A and B respectively. If the measure of angle P is 80 degrees, what is the measure of angle C?\nChoices:\nA: 160°\nB: 100°\nC: 50°\nD: 80°"
},
{
"from": "assistant",
"value": "<think> Oka... | [
"mulberry_images/geoqa_plus/1481.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193625 | [
{
"from": "user",
"value": "<image>Consider the diagram illustrating quadrilateral ABCD, with a total perimeter of 12 centimeters. It is known that AB is smaller than AD, and that point O marks the intersection of lines AC and BD. Additionally, point E lies on the line segment AD, with line OE being perpend... | [
"mulberry_images/geoqa_plus/12432.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193626 | [
{
"from": "user",
"value": "<image>Diagram of rectangle ABCD shows two diagonals, AC and BD, intersecting at point O. Line AE is drawn perpendicular to BD at point E. With CD measuring 2 units and angle BOC measuring 120 degrees, what is the length of AE?\nChoices:\nA: √{2}\nB: √{3}\nC: 2\nD: √{5}"
},
{... | [
"mulberry_images/geoqa_plus/12556.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193627 | [
{
"from": "user",
"value": "<image>In the provided diagram, triangle ABC has AB = AC = 13 and BC = 10. What is the sinus value of angle B?\nChoices:\nA: \\frac{5}{12}\nB: \\frac{10}{13}\nC: \\frac{5}{13}\nD: \\frac{12}{13}"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the ... | [
"mulberry_images/geoqa_plus/10622.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193628 | [
{
"from": "user",
"value": "<image>Given the graphical representation of circle O with a radius of 1, where diameter AB is lengthened to reach point C in a manner that results in BC being equal to OA, and if CD represents a tangent to circle O with D acting as the point of tangency, what is the measurement ... | [
"mulberry_images/geoqa_plus/12644.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193629 | [
{
"from": "user",
"value": "<image>As shown in the figure, there is a V-shaped frame enclosing a steel pipe, with the radius of the pipe equal to 24cm. If angle ACB is 60 degrees, what is the length of arc AB?\nChoices:\nA: 8πcm\nB: 16πcm\nC: 32πcm\nD: 192πcm"
},
{
"from": "assistant",
"value": ... | [
"mulberry_images/geoqa_plus/12706.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193630 | [
{
"from": "user",
"value": "<image>Given that AB is perpendicular to AC and has a length of 8 units, and that the diagonals AC and BD of parallelogram ABCD intersect at point O, where BD measures 20 units, what is the length of AC in the provided figure?\nChoices:\nA: 6\nB: 10\nC: 12\nD: 18"
},
{
"f... | [
"mulberry_images/geoqa_plus/12431.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193631 | [
{
"from": "user",
"value": "<image>If angle 1 measures 45° and angle EPF measures 75° in the provided diagram where line a is parallel to line b, what is the degree measure of angle 2?\nChoices:\nA: 30°\nB: 45°\nC: 20°\nD: 15°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figur... | [
"mulberry_images/geoqa_plus/11160.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193632 | [
{
"from": "user",
"value": "<image>What is the degree measure of angle DE in a situation where the vertex angle BAC of an isosceles triangle ABC is 50° and a semicircle with AB as the diameter intersects BC and AC at points D and E?\nChoices:\nA: 45°\nB: 50°\nC: 60°\nD: 75°"
},
{
"from": "assistant"... | [
"mulberry_images/geoqa_plus/10122.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193633 | [
{
"from": "user",
"value": "<image>In the presented figure, tangents PA and PB intersect circle O at points A and B respectively. Point C is another point on circle O. If angle P measures 80 degrees, what is the measure of angle ACB when lines AC and BC are connected?\nChoices:\nA: 30°\nB: 40°\nC: 50°\nD: 6... | [
"mulberry_images/geoqa_plus/10543.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193634 | [
{
"from": "user",
"value": "<image>If the area of square B is 144 square units and the area of square C is 169 square units, then what is the area of square A?\nChoices:\nA: 313\nB: 144\nC: 169\nD: 25"
},
{
"from": "assistant",
"value": "<think> Okay, so there's this problem about three squares,... | [
"mulberry_images/geoqa_plus/11393.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193635 | [
{
"from": "user",
"value": "<image>The diagram illustrates triangle ABC, where AB is equal to AC, both measuring 12 units, and BC measuring 10 units. The line segment AD divides angle BAC into two equal parts and intersects BC at point D. Moreover, point E lies at the midpoint of AC. If line segment DE is c... | [
"mulberry_images/geoqa_plus/12965.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193636 | [
{
"from": "user",
"value": "<image>In the provided figure, if BD intersects BC and forms a right angle at point D, and angle 1 has a measure of 40 degrees, what is the measurement of angle 2 if AB is parallel to CD?\nChoices:\nA: 30°\nB: 40°\nC: 50°\nD: 60°"
},
{
"from": "assistant",
"value": "<... | [
"mulberry_images/geoqa_plus/1178.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193637 | [
{
"from": "user",
"value": "<image>In the given figure, with PA and PB as tangents to circle O at points A and B and C as a moving point on arc AB, if angle P is 40 degrees, what is the measure of angle ACB?\nChoices:\nA: 50°\nB: 60°\nC: 70°\nD: 80°"
},
{
"from": "assistant",
"value": "<think> O... | [
"mulberry_images/geoqa_plus/10141.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193638 | [
{
"from": "user",
"value": "<image>Within triangle ABC, where points D, E, and F serve as the midpoints of sides BC, AB, and AC, respectively, and the area of the triangle is known to be 12, what is the area of the shaded region?\nChoices:\nA: 2\nB: 4\nC: 6\nD: 8"
},
{
"from": "assistant",
"valu... | [
"mulberry_images/geoqa_plus/11926.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193639 | [
{
"from": "user",
"value": "<image>Given the figure depicting right triangle ABC with angle ACB measuring 90 degrees, it can be observed that points D and E serve as the midpoints of sides AB and AC respectively. By extending BC to reach point F, such that CF is equal to half of the length of BC, and knowin... | [
"mulberry_images/geoqa_plus/12956.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193640 | [
{
"from": "user",
"value": "<image>Consider the figure provided, showing quadrilateral ABCD. It is known that CB is equal to CD, and both angle ABC and angle ADC are right angles measuring 90 degrees. Furthermore, angle BAC is measured to be 35 degrees. What is the measure of angle BCD?\nChoices:\nA: 145°\n... | [
"mulberry_images/geoqa_plus/315.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193641 | [
{
"from": "user",
"value": "<image>Considering the given figure, if angle 1 is measured to be 120.0 degrees and angle E is measured to be 80.0 degrees, what is the measure of angle A?\nChoices:\nA: 10°\nB: 40°\nC: 30°\nD: 80°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The prob... | [
"mulberry_images/geoqa_plus/1265.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193642 | [
{
"from": "user",
"value": "<image>In the diagram illustrating rectangle ABCD, the intersection of diagonal AC and diagonal BD is marked as point O. Given that angle ADB is equal to 30 degrees and AB is measured to be 4 units, what is the value of OC?\nChoices:\nA: 5\nB: 4\nC: 3.5\nD: 3"
},
{
"from"... | [
"mulberry_images/geoqa_plus/12865.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193643 | [
{
"from": "user",
"value": "<image>Given that AD is the midline of triangle ABC and E is the midpoint of AD as shown in the diagram, if the area of triangle ABE is 2, what can be determined about the area of triangle ABC?\nChoices:\nA: 5\nB: 6\nC: 7\nD: 8"
},
{
"from": "assistant",
"value": "<th... | [
"mulberry_images/geoqa_plus/12037.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193644 | [
{
"from": "user",
"value": "<image>In triangle ABC as depicted in the figure, with points D and E serving as the midpoints of BC and AC respectively, and line BF acting as a bisector of angle ABC and intersecting DE at point F, if the length of BC is known to be 6, what is the length of DF?\nChoices:\nA: 2\... | [
"mulberry_images/geoqa_plus/12087.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193645 | [
{
"from": "user",
"value": "<image>In the provided diagram, line a and line b are depicted as parallel. Line l intersects line a and line b at points A and B respectively. A perpendicular line AC is drawn from point A to line b, intersecting at point C. If the degree of angle 1 is 50, what is the degree mea... | [
"mulberry_images/geoqa_plus/11126.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193646 | [
{
"from": "user",
"value": "<image>In the provided figure, line AB is a tangent to circle O at point C, and the line AO intersects circle O at point D. Given that angle AOC equals 50°, what is the measure of angle ACD?\nChoices:\nA: 20°\nB: 25°\nC: 30°\nD: 35°"
},
{
"from": "assistant",
"value":... | [
"mulberry_images/geoqa_plus/10197.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193647 | [
{
"from": "user",
"value": "<image>Considering the provided figure, where ABCD forms a parallelogram and the intersection of AC and BD is denoted by point O, and AB is perpendicular to AC, if the lengths of AB and AC are 4 and 6 units respectively, what is the perimeter of triangle COD?\nChoices:\nA: 8\nB: ... | [
"mulberry_images/geoqa_plus/12428.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193648 | [
{
"from": "user",
"value": "<image>As depicted in the figure, quadrilateral ABCD is a rhombus with diagonals AC and BD intersecting at point O. Point E is situated on side AD, precisely at the midpoint. Perpendicular lines EF and EG have been drawn, with EF passing through point E and being perpendicular to... | [
"mulberry_images/geoqa_plus/12734.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193649 | [
{
"from": "user",
"value": "<image>Suppose we have a figure with circle O and points A, B, and C located on its circumference. By connecting OA, OB, OC, BC, and AC, it is known that AC is parallel to OB. Additionally, OC measures 4 units and AB measures 5 units. What is the length of BC in this case?\nChoic... | [
"mulberry_images/geoqa_plus/12701.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193650 | [
{
"from": "user",
"value": "<image>Triangle ABC is shown in the diagram, where DE is parallel to BC. If AD equals 4 units, DB equals 8 units, and DE equals 3 units, what is the length of BC in triangle ABC?\nChoices:\nA: 6\nB: 8\nC: 9\nD: 12"
},
{
"from": "assistant",
"value": "<think> Okay, so ... | [
"mulberry_images/geoqa_plus/12593.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193651 | [
{
"from": "user",
"value": "<image>If a rectangular paper ABCD is folded to make point D coincide with point B and point C fall on point C', forming the crease EF, and angle ABE equals 30°, what will be the degree measure of angle EFC'? \nChoices:\nA: 120°\nB: 100°\nC: 150°\nD: 90°"
},
{
"from": "as... | [
"mulberry_images/geoqa_plus/10512.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193652 | [
{
"from": "user",
"value": "<image>Triangle ABC is depicted in the figure, with BD serving as the median. The midpoints of BD and CE are labeled E and F, respectively. If the area of triangle ABC is 12, what is the area of triangle AEF?\nChoices:\nA: 2\nB: 3\nC: 4\nD: 6"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/11972.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193653 | [
{
"from": "user",
"value": "<image>Suppose in the provided diagram, quadrilateral ABCD is shown. If AB measures 1, BC measures 1, CD measures 2, DA measures the square root of 6, and angle ABC measures 90 degrees, what would be the area of quadrilateral ABCD?\nChoices:\nA: 2\nB: 0.5+√{2}\nC: 1+√{2}\nD: \\fr... | [
"mulberry_images/geoqa_plus/11377.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193654 | [
{
"from": "user",
"value": "<image>Point E lies at the intersection of the chords AB and CD in the provided diagram, where the measure of arc AD equals the measure of arc CB. If angle C is 50 degrees, what is the measure of angle CEB?\nChoices:\nA: 50°\nB: 80°\nC: 90°\nD: 100°"
},
{
"from": "assista... | [
"mulberry_images/geoqa_plus/10132.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193655 | [
{
"from": "user",
"value": "<image>In the given diagram, lines a and b are shown to be parallel to each other. Line c intersects line a at point D and line b at point E, while ray DF is perpendicular to line c. If angle 1 is measured at 32 degrees, what is the degree measure of angle 2?\nChoices:\nA: 67°\nB... | [
"mulberry_images/geoqa_plus/11150.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193656 | [
{
"from": "user",
"value": "<image>Given the figure presented, in which point P is positioned on the edge OA of angle AOB and PC is perpendicular to OB at point C, PD being parallel to OB, what is the degree measure of angle APD if angle OPC equals 35.0 degrees?\nChoices:\nA: 60°\nB: 55°\nC: 45°\nD: 35°"
... | [
"mulberry_images/geoqa_plus/1164.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193657 | [
{
"from": "user",
"value": "<image>In the figure, circle O is represented with the perpendicular radius AO and OB. A point P is situated on the major arc APB, and the midpoint of AB is labeled as C. If we connect AP and CP, what is the degree measure of angle APC?\nChoices:\nA: 20°\nB: 22.5°\nC: 25°\nD: 45°... | [
"mulberry_images/geoqa_plus/10155.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193658 | [
{
"from": "user",
"value": "<image>In the diagram illustrating ABCD, where AB is measured at 6 units and BC is measured at 10 units, the perpendicular bisector of AC is extended to intersect AD at point E. If the line segment CE is drawn, what is the perimeter of triangle CDE?\nChoices:\nA: 8\nB: 10\nC: 12\... | [
"mulberry_images/geoqa_plus/12422.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193659 | [
{
"from": "user",
"value": "<image>If in rectangle ABCD, the diagonals AC and BD intersect at point O, and the length of AD is 3 with angle AOD measuring 60°, what is the length of AB?\nChoices:\nA: 3\nB: 2√{3}\nC: 3√{3}\nD: 6"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. So we h... | [
"mulberry_images/geoqa_plus/12773.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193660 | [
{
"from": "user",
"value": "<image>If ABCD is an inscribed square in circle O, and point P lies on the arc AB (excluding point B), what is the measure of angle BPC?\nChoices:\nA: 30°\nB: 45°\nC: 60°\nD: 90°"
},
{
"from": "assistant",
"value": "<think> Okay, let's tackle this geometry problem. So... | [
"mulberry_images/geoqa_plus/10561.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193661 | [
{
"from": "user",
"value": "<image>What is the degree measure of angle DCF if triangle ABC is shown with angle ACB equaling 120 degrees and square ACDE as well as regular pentagon BCFGH are constructed with sides AC and BC, as in the diagram?\nChoices:\nA: 32°\nB: 42°\nC: 52°\nD: 48°"
},
{
"from": "... | [
"mulberry_images/geoqa_plus/10017.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193662 | [
{
"from": "user",
"value": "<image>Given that points A, B, C, and D lie on circle O with a radius of 3.0, and OA is perpendicular to BC, if the measure of angle CDA is 30.0 degrees, what is the length of chord BC?\nChoices:\nA: \\frac{3√{3}}{2}\nB: 3√{3}\nC: 3\nD: 2√{3}"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/1754.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193663 | [
{
"from": "user",
"value": "<image>In the provided figure, rhombus ABCD has an area of 24cm2 and one of its diagonals, BD, measures 6cm. Point O is the midpoint of BD. A perpendicular line AE is drawn from point A to BC, intersecting the extension of CB at point E. What is the length of line segment OE?\nCh... | [
"mulberry_images/geoqa_plus/12769.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193664 | [
{
"from": "user",
"value": "<image>Circle O has a diameter AB equal to 8.0 units. If point C is located on the circle and angle BOC measures 60.0 degrees, what is the magnitude of segment AC?\nChoices:\nA: 4cm\nB: 4√{3}cm\nC: 5cm\nD: 2.5cm"
},
{
"from": "assistant",
"value": "<think> Okay, so I ... | [
"mulberry_images/geoqa_plus/1771.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193665 | [
{
"from": "user",
"value": "<image>Given the diagram showing parallelogram ABCD, where line AE bisects angle BAD and intersects side CD at point E, if the length of AD is 3 units and the length of AB is 5 units, what is the magnitude of EC?\nChoices:\nA: 1\nB: 2\nC: 3\nD: 5"
},
{
"from": "assistant"... | [
"mulberry_images/geoqa_plus/12530.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193666 | [
{
"from": "user",
"value": "<image>As shown in the figure, OC bisects angle AOB, and point P is located on OC. Furthermore, line segment PM is perpendicular to line segment OB at point M. If OM is equal to 4 units and OP is equal to 5 units, what is the minimum possible length for PN on ray OA?\nChoices:\nA... | [
"mulberry_images/geoqa_plus/12066.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193667 | [
{
"from": "user",
"value": "<image>As depicted in the diagram, line a is parallel to line b. The intersection of line c with line a is labeled as point A, and with line b as point B. At point A, line AC is perpendicular to line AB, and it further intersects line b at point C. With angle 1 measuring 52°, wha... | [
"mulberry_images/geoqa_plus/10968.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193668 | [
{
"from": "user",
"value": "<image>Given that angle OBC is 18.0 degrees, and points A, B, and C all lie on circle O as depicted in the figure, what is the measure of angle A?\nChoices:\nA: 18°\nB: 36°\nC: 72°\nD: 144°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is a... | [
"mulberry_images/geoqa_plus/3364.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193669 | [
{
"from": "user",
"value": "<image>If triangle ABC is displayed with AD being the bisector of angle BAC, and extended to E where AD equals DE, and then BE is connected, and AB equals 3 times AC, and the area of triangle BDE is 9, what is the area of triangle ABC?\nChoices:\nA: 6\nB: 9\nC: 12\nD: 15"
},
... | [
"mulberry_images/geoqa_plus/11417.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193670 | [
{
"from": "user",
"value": "<image>In the diagram displaying circle O, where OA represents its radius and chord BC is perpendicular to OA, point D is located on circle O. Given that angle ADC measures 26.0 degrees, what is the degree value of angle AOB?\nChoices:\nA: 78°\nB: 52°\nC: 44°\nD: 26°"
},
{
... | [
"mulberry_images/geoqa_plus/3363.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193671 | [
{
"from": "user",
"value": "<image>If quadrilateral ABDE is inscribed within circle O, with CE as the diameter, and BC and DC are connected, and angle BDC is given to be 20°, what is the measure of angle A?\nChoices:\nA: 90°\nB: 100°\nC: 110°\nD: 120°"
},
{
"from": "assistant",
"value": "<think>... | [
"mulberry_images/geoqa_plus/10366.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193672 | [
{
"from": "user",
"value": "<image>In triangle ABC, depicted in the figure, the angle bisector CD is shown. If angle A is 30° and angle CDB is 65°, what is the measurement of angle B in degrees?\nChoices:\nA: 65°\nB: 70°\nC: 80°\nD: 85°"
},
{
"from": "assistant",
"value": "<think> Okay, let me t... | [
"mulberry_images/geoqa_plus/11235.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193673 | [
{
"from": "user",
"value": "<image>In the provided figure, we see two right-angled triangular rulers positioned in a specific manner. Point C lies on the extension line of FD, point B is on ED, and AB is parallel to CF. Given that angle F, angle ACB, and angle A are all right angles, what is the measure of ... | [
"mulberry_images/geoqa_plus/10782.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193674 | [
{
"from": "user",
"value": "<image>Given the diagram depicting circle O with diameter AB and tangent CD at point D, where CD intersects the extended line AB at point C, if angle A is measured at 30 degrees and the length of CD is 3 units, what is the measurement of AB?\nChoices:\nA: 3\nB: 2√{3}\nC: 6\nD: √{... | [
"mulberry_images/geoqa_plus/12627.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193675 | [
{
"from": "user",
"value": "<image>Triangle ABC is depicted in the figure with ACB being a 90-degree angle, and M and N being the midpoints of AB and AC, respectively. Upon extending BC to point D such that CD is one-third of BD, the segments DM, DN, MN, and CM are connected. Find the length of DN if AB mea... | [
"mulberry_images/geoqa_plus/13028.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193676 | [
{
"from": "user",
"value": "<image>Given that BC is the diameter of circle O and angle AOC is 58 degrees, what is the measure of angle A in the figure?\nChoices:\nA: 28°\nB: 29°\nC: 32°\nD: 42°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure this out. So, there's a circle... | [
"mulberry_images/geoqa_plus/10083.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193677 | [
{
"from": "user",
"value": "<image>Consider the figure shown, where a line tangent to circle O passes through point P and intersects the extended diameter AB at point C. Additionally, point D lies on the circle, and the measure of angle BDP is 27 degrees. What is the degree measure of angle C?\nChoices:\nA:... | [
"mulberry_images/geoqa_plus/10545.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193678 | [
{
"from": "user",
"value": "<image>According to the given figure, triangle ABC is displayed, and points D, E, and F represent the midpoints of sides BC, AD, and CE respectively. Knowing that the area of triangle ABC is 8 square centimeters, what would be the area of triangle AEF?\nChoices:\nA: 1cm2\nB: 1.5c... | [
"mulberry_images/geoqa_plus/11752.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193679 | [
{
"from": "user",
"value": "<image>Given that triangle ABC is a right triangle with angle C equal to 90 degrees, and the lengths of sides AB and AC are 5.0 and 4.0 respectively, what is the numerical value of the tangent of angle B?\nChoices:\nA: \\frac{3}{5}\nB: \\frac{4}{5}\nC: \\frac{3}{4}\nD: \\frac{4}{... | [
"mulberry_images/geoqa_plus/2826.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193680 | [
{
"from": "user",
"value": "<image>The figure shows a quadrilateral ABCD inscribed in circle O, with E being a point on the extension line of AD. If the measure of angle CDE is 80.0, what is the measure of angle B in degrees?\nChoices:\nA: 60°\nB: 70°\nC: 80°\nD: 90°"
},
{
"from": "assistant",
"... | [
"mulberry_images/geoqa_plus/3453.png"
] | vision_r1_mulberry_sft_full |
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