id stringlengths 29 36 | conversations listlengths 1 48 | images listlengths 1 1 | source_dataset stringclasses 2
values |
|---|---|---|---|
vision_r1_mulberry_sft_full-194681 | [
{
"from": "user",
"value": "<image>Figure 1 shows a movable diamond-shaped learning tool created by Xiaoming using four equal-length wooden sticks. Xiaoming measured angle B as 60° and found the diagonal AC to be 20cm. When the learning tool is transformed into a square in Figure 2, what is the length of th... | [
"mulberry_images/geoqa_plus/12776.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194682 | [
{
"from": "user",
"value": "<image>Considering the figure depicting triangle ABC, where points D, E, and F denote the midpoints of sides AB, BC, and CA respectively, and the measurements of AB and AC are 8 centimeters and 10 centimeters respectively, what would be the perimeter of quadrilateral ADEF?\nChoic... | [
"mulberry_images/geoqa_plus/12122.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194683 | [
{
"from": "user",
"value": "<image>In the diagram illustrating a ladder, one end of the ladder is placed 1.5 units away from the corner of the wall and the other end is against the wall. If the length of the ladder is 2.5 units, what is the distance between the top of the ladder and the corner of the wall?\... | [
"mulberry_images/geoqa_plus/1538.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194684 | [
{
"from": "user",
"value": "<image>As indicated in the figure, it is common to use steel balls for measuring the wide openings of small round holes on parts. If the diameter of the steel ball is 10.0 and the distance between the top of the steel ball and the part surface is 8.0, what is the length of the wi... | [
"mulberry_images/geoqa_plus/1144.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194685 | [
{
"from": "user",
"value": "<image>In the given figure, triangle ABC is depicted, and points D and E are marked as the midpoints of sides AB and AC respectively. If the length of DE is 3, what is the length of BC?\nChoices:\nA: 4\nB: 5\nC: 6\nD: 7"
},
{
"from": "assistant",
"value": "<think> Oka... | [
"mulberry_images/geoqa_plus/12985.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194686 | [
{
"from": "user",
"value": "<image>Given a rectangle ABCD with its diagonals intersecting at point O, as shown in the diagram, if angle AOD is 60 degrees and AD is 1, what is the length of side AB?\nChoices:\nA: 1\nB: 2\nC: √{3}\nD: 2√{3}"
},
{
"from": "assistant",
"value": "<think> Okay, so I n... | [
"mulberry_images/geoqa_plus/12949.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194687 | [
{
"from": "user",
"value": "<image>Within the diagram representing diamond ABCD, we can see that AB measures 5 units and BD measures 6 units. If point E is on AB and DE is perpendicular to AB, what is the value of DE?\nChoices:\nA: 4.8\nB: 5\nC: 9.6\nD: 10"
},
{
"from": "assistant",
"value": "<t... | [
"mulberry_images/geoqa_plus/12808.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194688 | [
{
"from": "user",
"value": "<image>In the provided diagram, where two straight lines AB and CD intersect at point O, with OE serving as the angle bisector of angle AOD, if the measure of angle BOC is 70.0 degrees, what is the measure of angle COE?\nChoices:\nA: 110°\nB: 120°\nC: 135°\nD: 145°"
},
{
... | [
"mulberry_images/geoqa_plus/1279.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194689 | [
{
"from": "user",
"value": "<image>In the provided illustration, if point P is outside circle O and PA and PB are tangents at points A and B respectively, with PA equal to 3, what is the length of PB?\nChoices:\nA: 2\nB: 3\nC: 4\nD: 5"
},
{
"from": "assistant",
"value": "<think> Okay, let's see.... | [
"mulberry_images/geoqa_plus/13080.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194690 | [
{
"from": "user",
"value": "<image>Within the illustration, points A and B are situated at opposite ends of a pond, and Xiao Ming aims to measure the distance between them using a rope. With the rope being too short, a classmate proposes a method which involves identifying a point C on the ground reachable ... | [
"mulberry_images/geoqa_plus/13036.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194691 | [
{
"from": "user",
"value": "<image>If in the provided figure, a right angle is formed and one edge of a ruler passes through a vertex of the right angle, while the other edge intersects one of the edges of the right angle, what is the degree measure of angle 2 when angle 1 is 30.0 degrees?\nChoices:\nA: 30°... | [
"mulberry_images/geoqa_plus/1446.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194692 | [
{
"from": "user",
"value": "<image>Triangle ABC is portrayed in the provided figure, with points D and E serving as the midpoints of BC and AD respectively. It is known that EF is equal to 2 times FC and that the area of triangle ABC is 12. What is the area of triangle BEF?\nChoices:\nA: 5\nB: 4.5\nC: 4\nD:... | [
"mulberry_images/geoqa_plus/11997.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194693 | [
{
"from": "user",
"value": "<image>Based on the figure, triangle ADE displays similarity to triangle ABC. With AD equal to 1.0 and BD equal to 2.0, what is the similarity ratio between triangle ADE and triangle ABC?\nChoices:\nA: 1:2\nB: 1:3\nC: 2:3\nD: 3:2"
},
{
"from": "assistant",
"value": "<... | [
"mulberry_images/geoqa_plus/1644.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194694 | [
{
"from": "user",
"value": "<image>Looking at the depicted figure, it is shown that line BO is perpendicular to AO at point O. Furthermore, angle COD is bisected by line OB. If angle BOD is 22.0 degrees, what is the degree measurement of angle AOC?\nChoices:\nA: 22°\nB: 46°\nC: 68°\nD: 78°"
},
{
"fr... | [
"mulberry_images/geoqa_plus/1186.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194695 | [
{
"from": "user",
"value": "<image>In the accompanying figure, circle O is intersected by tangents PA and PB at points A and B, respectively. Point C lies on circle O, serving as its diameter. If it is known that angle BAC measures 35.0 degrees, then what is the measure of angle P?\nChoices:\nA: 50°\nB: 60°... | [
"mulberry_images/geoqa_plus/1189.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194696 | [
{
"from": "user",
"value": "<image>Consider the figure provided, where point O represents the intersection of straight lines AB and CD, and angle AOD is bisected by OE. If the measure of angle BOC is known to be 70.0 degrees, what is the value of angle COE in degrees?\nChoices:\nA: 110°\nB: 120°\nC: 135°\nD... | [
"mulberry_images/geoqa_plus/1279.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194697 | [
{
"from": "user",
"value": "<image>The figure displays a parallelogram ABCD where AB measures 10 units and BC measures 6 units. The midpoints of AD and DC are denoted as E and F respectively. Given that EF equals 7 units, what is the perimeter of quadrilateral EACF?\nChoices:\nA: 20\nB: 22\nC: 29\nD: 31"
... | [
"mulberry_images/geoqa_plus/13050.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194698 | [
{
"from": "user",
"value": "<image>As seen in the diagram featuring rectangle ABCD, if F is the midpoint of BC, E is located on AD, and angle ECD equals 30 degrees while angle BEC equals 90 degrees, what is the area of the rectangle when EF is 4cm?\nChoices:\nA: 16cm2\nB: 8√{3}cm2\nC: 16√{3}cm2\nD: 32cm2"
... | [
"mulberry_images/geoqa_plus/11636.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194699 | [
{
"from": "user",
"value": "<image>If rectangle ABCD is depicted in the diagram with AB measuring 12 units and AD measuring 5 units, what is the length of the diagonal AC?\nChoices:\nA: 12\nB: 6.5\nC: 13\nD: 10"
},
{
"from": "assistant",
"value": "<think> Okay, let me see. The problem is about a... | [
"mulberry_images/geoqa_plus/12743.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194700 | [
{
"from": "user",
"value": "<image>Within the diagram provided, triangle ABC is depicted with AD functioning as the median of side BC and E and F serving as the midpoints of AD and BE respectively. With the area of triangle BFD measured at 6, what can be determined regarding the area of triangle ABC?\nChoic... | [
"mulberry_images/geoqa_plus/11767.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194701 | [
{
"from": "user",
"value": "<image>Considering the given figure, in rhombus ABCD, where diagonals AC and BD intersect at point O, with M representing the midpoint of side AB, what is the perimeter of rhombus ABCD if the length of MO measures 4cm?\nChoices:\nA: 32cm\nB: 24cm\nC: 16cm\nD: 8cm"
},
{
"f... | [
"mulberry_images/geoqa_plus/12073.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194702 | [
{
"from": "user",
"value": "<image>As shown in the diagram, if angle C is 90 degrees, AB measures 12 units, BC measures 3 units, CD measures 4 units, and angle ABD is 90 degrees, then what is the length of AD?\nChoices:\nA: 10\nB: 13\nC: 8\nD: 11"
},
{
"from": "assistant",
"value": "<think> Okay... | [
"mulberry_images/geoqa_plus/12067.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194703 | [
{
"from": "user",
"value": "<image>Given the illustration provided, triangle ABC can be seen, with the angle bisector BP of angle ABC intersecting the perpendicular bisector DP of AC at point P. After drawing PF perpendicular to BC at point P, and PE perpendicular to AB, intersecting the extension of BA at ... | [
"mulberry_images/geoqa_plus/12485.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194704 | [
{
"from": "user",
"value": "<image>Xiaoming created a diamond-shaped learning tool using four equal-length wooden sticks. In Figure 1, angle B measures 60° and the diagonal AC measures 20cm. When the learning tool is transformed into a square in Figure 2, what is the length of the diagonal AC?\nChoices:\nA:... | [
"mulberry_images/geoqa_plus/12776.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194705 | [
{
"from": "user",
"value": "<image>Consider the figure given, depicting right triangle ABC, with angle ACB equal to 90 degrees. Within this triangle, two arcs are drawn, centered at points B and C, with radii greater than 0.5 times the length of BC. The resulting intersections of these arcs are labeled as D... | [
"mulberry_images/geoqa_plus/12501.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194706 | [
{
"from": "user",
"value": "<image>In the figure displaying triangle ABC, it can be observed that point D lies on side BC, and the midpoints of AD and CE are marked as E and F respectively. Additionally, the area of triangle BEF has been determined as 3. What is the area of triangle ABC based on this inform... | [
"mulberry_images/geoqa_plus/11791.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194707 | [
{
"from": "user",
"value": "<image>Within the provided diagram, there is a right triangle ABC. Angle ACB measures 90 degrees, while angle A is measured at 30 degrees. BC has a length of 2 units. A circle is centered at point C and has a radius equal to BC. As depicted, this circle intersects AB at point D. ... | [
"mulberry_images/geoqa_plus/12691.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194708 | [
{
"from": "user",
"value": "<image>In the provided diagram of rectangle ABCD, if AO is equal to 5 and CD is equal to 6, what is the measure of the segment AD?\nChoices:\nA: 5\nB: 6\nC: 7\nD: 8"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is about a rectangle ABCD wit... | [
"mulberry_images/geoqa_plus/12822.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194709 | [
{
"from": "user",
"value": "<image>In rectangle ABCD, point O represents the intersection of lines AC and BD. If the measure of angle AOB is 60° and the length of AB is 5 units, what is the length of diagonal AC?\nChoices:\nA: 5\nB: 7.5\nC: 10\nD: 15"
},
{
"from": "assistant",
"value": "<think> ... | [
"mulberry_images/geoqa_plus/12857.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194710 | [
{
"from": "user",
"value": "<image>Given a figure with a cylinder having a height of 8.0 units and a bottom surface with a perimeter measuring 30.0 units, if ants are moving on the surface, what is the minimum distance between point A and point B?\nChoices:\nA: 15cm\nB: 17cm\nC: 18cm\nD: 30cm"
},
{
... | [
"mulberry_images/geoqa_plus/1270.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194711 | [
{
"from": "user",
"value": "<image>The provided diagram displays circle O at its center, with diameter AB being perpendicular to chord DE at point C. With DE measuring 8 units and OC measuring 3 units, what is the value of OD, corresponding to the radius of the circle?\nChoices:\nA: 2\nB: 3\nC: 5\nD: 6"
}... | [
"mulberry_images/geoqa_plus/12687.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194712 | [
{
"from": "user",
"value": "<image>Within triangle ABC, as shown in the figure, point D is on side BC and point O is on side AD. With the knowledge that the area of triangle AOB is 3, the area of triangle BOD is 2, and the area of triangle ACO is 1, what is the area of triangle COD?\nChoices:\nA: \\frac{1}{... | [
"mulberry_images/geoqa_plus/11802.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194713 | [
{
"from": "user",
"value": "<image>In the provided diagram, an oil drum is depicted leaning against a vertical wall. XY is measured as 0.5m and is perpendicular to WY. What is the specific measurement of the radius of the base of the oil drum?\nChoices:\nA: 0.25m\nB: 0.5m\nC: 0.75m\nD: 1m"
},
{
"fro... | [
"mulberry_images/geoqa_plus/12614.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194714 | [
{
"from": "user",
"value": "<image>In quadrilateral ABCD, where CD measures 10 units, and the angle bisector of angle ABC intersects side AD at point E, how would the length of BE be affected by drawing a perpendicular line AF from point A to BE with a length of 6 units?\nChoices:\nA: 8\nB: 10\nC: 16\nD: 18... | [
"mulberry_images/geoqa_plus/12535.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194715 | [
{
"from": "user",
"value": "<image>If in triangle ABC, both AB and BC are equal to √{3}, and angle BAC is 30°, arcs are drawn with AC as the radius, intersecting at point D, with DA and DC being connected. What is the area of quadrilateral ABCD when points A and C are the centers of the arcs?\nChoices:\nA: ... | [
"mulberry_images/geoqa_plus/11545.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194716 | [
{
"from": "user",
"value": "<image>In the provided figure of quadrilateral ABCD, with diagonals AC and BD intersecting at point O and angle CBD measuring 90 degrees, if BC measures 4 units and both OB and OD measure 3 units, what is the area of quadrilateral ABCD?\nChoices:\nA: 48\nB: 36\nC: 24\nD: 12"
},... | [
"mulberry_images/geoqa_plus/11858.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194717 | [
{
"from": "user",
"value": "<image>If we consider the figure provided, where line l is tangent to circle O, and A is the point of tangency while B lies on line l, and OB intersects circle O at point C, what is the length of segment BC if segments AB and OA measure 8 and 6 units respectively?\nChoices:\nA: 3... | [
"mulberry_images/geoqa_plus/12617.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194718 | [
{
"from": "user",
"value": "<image>If the diagram displays triangle ABC, where O is the circumcircle and AB is the diameter, and if OC is equal to AC, with both values being 5 units, then what is the length of BC?\nChoices:\nA: 10\nB: 9\nC: 8\nD: 5√{3}"
},
{
"from": "assistant",
"value": "<think... | [
"mulberry_images/geoqa_plus/12695.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194719 | [
{
"from": "user",
"value": "<image>What is the value of angle ADB in the provided figure of a diamond ABCD, knowing that angle A measures 40 degrees?\nChoices:\nA: 40°\nB: 50°\nC: 60°\nD: 70°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is about a rhombus ABCD with a... | [
"mulberry_images/geoqa_plus/1281.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194720 | [
{
"from": "user",
"value": "<image>If in the provided diagram, AC and DB have the same length, and AO and DO are also equal, and CD measures 70 meters, what is the magnitude of the distance between points A and B?\nChoices:\nA: 60m\nB: 70m\nC: 100m\nD: 130m"
},
{
"from": "assistant",
"value": "<... | [
"mulberry_images/geoqa_plus/12540.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194721 | [
{
"from": "user",
"value": "<image>What is the length of side BC in rectangle ABCD, where the diagonal AC measures 8 units and angle BOC is 120°?\nChoices:\nA: 2√{3}\nB: 4\nC: 4√{3}\nD: 8"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is about a rectangle ABCD with dia... | [
"mulberry_images/geoqa_plus/13073.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194722 | [
{
"from": "user",
"value": "<image>If AB is the diameter of circle O and CD is a chord of circle O, with an angle ABD measuring 50.0 degrees, what is the degree magnitude of angle C?\nChoices:\nA: 60°\nB: 50°\nC: 40°\nD: 30°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. So there'... | [
"mulberry_images/geoqa_plus/1794.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194723 | [
{
"from": "user",
"value": "<image>Given the placement of a ladder against a wall, with one end positioned 1.5 units away from the corner and the other end against the wall, if the length of the ladder is 2.5 units, what is the distance between the top of the ladder and the corner?\nChoices:\nA: 0.2米\nB: 0.... | [
"mulberry_images/geoqa_plus/1538.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194724 | [
{
"from": "user",
"value": "<image>If in the provided figure, triangle ABC has BD as its median and E and F are the midpoints of BD and CE, respectively, and if the area of triangle AEF is known to be 3, what can be determined about the area of triangle ABC?\nChoices:\nA: 9\nB: 10\nC: 11\nD: 12"
},
{
... | [
"mulberry_images/geoqa_plus/11907.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194725 | [
{
"from": "user",
"value": "<image>In the figure illustrating quadrilateral ABCD, where BC has a length of 13 units, point A is extended to point E so that line AE is perpendicular to line DC at point E. The lengths of AE and EC are given as 12 units and 10 units, respectively. What is the length of AB?\nCh... | [
"mulberry_images/geoqa_plus/12468.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194726 | [
{
"from": "user",
"value": "<image>In triangle ABC as depicted in the diagram, point F divides side BC in half, while point E is situated on side AC. Knowing that the length of AC is 10 units, what is the length of AE?\nChoices:\nA: 3\nB: 4\nC: 5\nD: 4.5"
},
{
"from": "assistant",
"value": "<thi... | [
"mulberry_images/geoqa_plus/12672.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194727 | [
{
"from": "user",
"value": "<image>When considering the roof truss design drawing, angle A is measured at 30° and point D represents the midpoint of inclined beam AB. Additionally, BC and DE are perpendicular to horizontal beam AC. Given that AB measures 16m, what is the length of DE?\nChoices:\nA: 8m\nB: 4... | [
"mulberry_images/geoqa_plus/13003.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194728 | [
{
"from": "user",
"value": "<image>Given the figure depicting a parallelogram labeled ABCD, with the length of side AD measured at 7 units, it can be observed that line segment CE bisects angle BCD and intersects side AD at point E. Furthermore, it is given that the length of AE is 3 units. What is the leng... | [
"mulberry_images/geoqa_plus/12446.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194729 | [
{
"from": "user",
"value": "<image>In the given diagram, which depicts the intersection of straight lines AB and CD at point O, with OE bisecting angle AOD, if the measure of angle BOC equals 70.0 degrees, what is the value of angle COE?\nChoices:\nA: 110°\nB: 120°\nC: 135°\nD: 145°"
},
{
"from": "a... | [
"mulberry_images/geoqa_plus/1279.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194730 | [
{
"from": "user",
"value": "<image>In the given diagram of triangle ABC, AB and AC are both equal to 12 units, while BC is 10 units. The line segment AD is responsible for bisecting angle BAC and intersects BC at point D. At the midpoint of AC, point E is present. When we connect DE, what is the perimeter o... | [
"mulberry_images/geoqa_plus/12965.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194731 | [
{
"from": "user",
"value": "<image>When estimating the distance between points A and B on both sides of the pond, point C is selected on one side, and the midpoints D and E of AC and BC are determined. If the length of DE is measured to be 15m, what is the distance between points A and B?\nChoices:\nA: 15m\... | [
"mulberry_images/geoqa_plus/12958.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194732 | [
{
"from": "user",
"value": "<image>In the provided diagram, triangle ABC has an area of 8 and point D is randomly chosen on side AB. If point E is the midpoint of CD and point F is the midpoint of BE, what is the area of triangle ABF?\nChoices:\nA: 3\nB: 2\nC: 2.5\nD: 1"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/12014.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194733 | [
{
"from": "user",
"value": "<image>In the figure depicting triangle ABC, with angle ACB measuring 90 degrees and angle ABC measuring 60 degrees, if angle ABC is bisected by BD and point P is the midpoint of BD, what is the length of CP when AD is equal to 6?\nChoices:\nA: 3\nB: 3.5\nC: 4\nD: 4.5"
},
{
... | [
"mulberry_images/geoqa_plus/12834.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194734 | [
{
"from": "user",
"value": "<image>Considering the figure provided, quadrilateral ABCD has a perimeter of 16cm, with point O as the intersection of AC and BD, and A perpendicular line from point O intersecting AD at point E. What is the perimeter of triangle DCE?\nChoices:\nA: 4cm\nB: 6cm\nC: 8cm\nD: 10cm"
... | [
"mulberry_images/geoqa_plus/12466.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194735 | [
{
"from": "user",
"value": "<image>If in rectangle ABCD, the two diagonals intersect at point O and angle BOC is equal to 120°, what is the length of diagonal BD when the length of side AB is 5?\nChoices:\nA: 5\nB: 5√{2}\nC: 10\nD: 5"
},
{
"from": "assistant",
"value": "<think> Okay, let's try t... | [
"mulberry_images/geoqa_plus/12789.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194736 | [
{
"from": "user",
"value": "<image>Triangle ABC is shown in the diagram, where O is the circumcircle and AB is the diameter. Given that OC and AC both equal 5 units, what is the distance of BC?\nChoices:\nA: 10\nB: 9\nC: 8\nD: 5√{3}"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to... | [
"mulberry_images/geoqa_plus/12695.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194737 | [
{
"from": "user",
"value": "<image>If the given figure represents a right triangle ABC, with CD as the median on the hypotenuse AB, and AB measures 8 units, what is the length of CD?\nChoices:\nA: 6\nB: 5\nC: 4\nD: 3"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is ab... | [
"mulberry_images/geoqa_plus/12763.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194738 | [
{
"from": "user",
"value": "<image>In the given scenario, a pond separates points A and C, and Mr. Li chooses a point B outside of AC. By connecting BA and BC, he determines the midpoints E and F of these line segments. If the distance between E and F is found to be 25 meters, what is the distance between p... | [
"mulberry_images/geoqa_plus/13065.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194739 | [
{
"from": "user",
"value": "<image>In the diagram, triangle ABC is inscribed in circle O, with AD as the diameter. If angle ABC is known to be 30 degrees, what is the measure of angle CAD?\nChoices:\nA: 45°\nB: 50°\nC: 55°\nD: 60°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to ... | [
"mulberry_images/geoqa_plus/1654.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194740 | [
{
"from": "user",
"value": "<image>Consider the parallelogram ABCD with angle B measuring 60 degrees, AB measuring 4 units, BC measuring 5 units, and P being any point on diagonal AC in such a way that PE is parallel to BC and PF is parallel to CD. What would be the area of the shaded region?\nChoices:\nA: ... | [
"mulberry_images/geoqa_plus/11455.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194741 | [
{
"from": "user",
"value": "<image>In the given diagram, angle AOB is known to be the central angle of circle O, measuring 60.0 degrees. What is the degree measure of the angle ACB, which lies on the circumference?\nChoices:\nA: 50°\nB: 25°\nC: 100°\nD: 30°"
},
{
"from": "assistant",
"value": "<... | [
"mulberry_images/geoqa_plus/1710.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194742 | [
{
"from": "user",
"value": "<image>In the figure provided, we have a representation of diamond ABCD. Given that AB measures 5 units and BD measures 6 units, and that point E lies on AB such that DE is perpendicular to AB, what is the precise measurement of DE?\nChoices:\nA: 4.8\nB: 5\nC: 9.6\nD: 10"
},
... | [
"mulberry_images/geoqa_plus/12808.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194743 | [
{
"from": "user",
"value": "<image>Given that in the diagram, the diagonals AC and BD of rhombus ABCD intersect at point O, and a perpendicular line DH is drawn from point D to AB, intersecting at H, what is the length of OH if the length of OA is 4 and the area of the rhombus ABCD is 24?\nChoices:\nA: 2\nB... | [
"mulberry_images/geoqa_plus/12762.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194744 | [
{
"from": "user",
"value": "<image>In the given figure, a rhombus ABCF is constructed inside a regular pentagon ABCDE. What is the degree measure of angle FAE?\nChoices:\nA: 30°\nB: 32°\nC: 36°\nD: 40°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. There's a regular pentagon ABCDE... | [
"mulberry_images/geoqa_plus/11287.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194745 | [
{
"from": "user",
"value": "<image>What is the measure of angle ABE when a rectangular paper ABDC is folded along BE in such a way that points C and D align with points C1 and D1, respectively, if angle C1BA measures 56°?\nChoices:\nA: 15°\nB: 16°\nC: 17°\nD: 20°"
},
{
"from": "assistant",
"valu... | [
"mulberry_images/geoqa_plus/11091.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194746 | [
{
"from": "user",
"value": "<image>Given the figure of rectangle ABCD with diagonals AC and BD intersecting at point O, if angle AOB is 60 degrees and BD measures 6 units, what is the length of side AB?\nChoices:\nA: 1.5\nB: 3\nC: √{3}\nD: 2√{3}"
},
{
"from": "assistant",
"value": "<think> Okay,... | [
"mulberry_images/geoqa_plus/12938.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194747 | [
{
"from": "user",
"value": "<image>If the perimeter of triangle ABC is 20cm and BC measures 6cm, with circle O as its inscribed circle and tangent line MN intersecting AB and CA at points M and N respectively, what is the perimeter of triangle AMN in the given diagram?\nChoices:\nA: 14cm\nB: 8cm\nC: 7cm\nD:... | [
"mulberry_images/geoqa_plus/12689.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194748 | [
{
"from": "user",
"value": "<image>If triangle ABC, with BD as its median and E and F as the midpoints of BD and CE respectively, has an area of 3 for triangle AEF, then what is the area of triangle ABC?\nChoices:\nA: 9\nB: 10\nC: 11\nD: 12"
},
{
"from": "assistant",
"value": "<think> Okay, let'... | [
"mulberry_images/geoqa_plus/11907.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194749 | [
{
"from": "user",
"value": "<image>In the given figure, if angle ABC measures 40 degrees and points A, B, and C lie on circle O, what is the degree of angle AOC?\nChoices:\nA: 40°\nB: 50°\nC: 60°\nD: 80°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. So there's a circle with cente... | [
"mulberry_images/geoqa_plus/1881.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194750 | [
{
"from": "user",
"value": "<image>In order to determine the distance between points A and B on both sides of the pond, point C is selected on one side. Midpoints D and E of AC and BC are chosen respectively, with DE measuring 15m. What is the actual distance between points A and B?\nChoices:\nA: 15m\nB: 20... | [
"mulberry_images/geoqa_plus/12958.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194751 | [
{
"from": "user",
"value": "<image>In the provided depiction of rectangle ABCD, diagonal AC intersects diagonal BD at point O. On side AD lies point P, from which perpendicular lines are extended to intersect AC and BD at E and F respectively. With AB measuring 6 units and BC measuring 8 units, what is the ... | [
"mulberry_images/geoqa_plus/12668.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194752 | [
{
"from": "user",
"value": "<image>In the given figure, when a right-angled triangular wooden board with a 6cm side and an 8cm side rotates around the 6cm side, what is the area covered by the hypotenuse?\nChoices:\nA: 48πcm2\nB: 60πcm2\nC: 80πcm2\nD: 90πcm2"
},
{
"from": "assistant",
"value": "... | [
"mulberry_images/geoqa_plus/11712.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194753 | [
{
"from": "user",
"value": "<image>As depicted in the figure, where AB and CD are parallel and AC and BD intersect at point O, and if it is known that DO, BO, and DC have measurements of 2, 5, and 3 respectively, then what is the length of AB?\nChoices:\nA: 6\nB: 7.5\nC: \\frac{20}{3}\nD: \\frac{15}{4}"
}... | [
"mulberry_images/geoqa_plus/12548.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194754 | [
{
"from": "user",
"value": "<image>In the figure given, right triangle ABC is depicted with angle ACB measuring 90 degrees. Midpoints of sides AB and AC are labeled as points D and E respectively. B is extended to point F such that CF is half of BC. If AB measures 12 units, what is the size of EF?\nChoices:... | [
"mulberry_images/geoqa_plus/12956.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194755 | [
{
"from": "user",
"value": "<image>When the diagonals of rectangle ABCD intersect at point O in the diagram, and angle ACB is 30 degrees while AB measures 2, what is the value of OC?\nChoices:\nA: 2\nB: 3\nC: 2√{3}\nD: 4"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. So there's a ... | [
"mulberry_images/geoqa_plus/12872.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194756 | [
{
"from": "user",
"value": "<image>In the provided figure, triangles ABC and ADC are congruent. If angle ABC has a measure of 118.0 degrees and angle DAC has a measure of 40.0 degrees, what is the degree of angle BCD?\nChoices:\nA: 40°\nB: 44°\nC: 50°\nD: 84°"
},
{
"from": "assistant",
"value": ... | [
"mulberry_images/geoqa_plus/1360.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194757 | [
{
"from": "user",
"value": "<image>If a sector with a radius of 9.0 and a central angle of 120.0 is converted into a cone (without overlap) according to the figure, what will be the radius of the bottom circle of the cone?\nChoices:\nA: 1\nB: 2\nC: 3\nD: π"
},
{
"from": "assistant",
"value": "<t... | [
"mulberry_images/geoqa_plus/2122.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194758 | [
{
"from": "user",
"value": "<image>In triangle ABC as displayed, where angle C is 90 degrees and the lengths of sides AC and BC are 8 units and 6 units respectively, a point P moves along the hypotenuse AB. What is the smallest possible length of segment EF, where point E is the intersection of a perpendicu... | [
"mulberry_images/geoqa_plus/12682.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194759 | [
{
"from": "user",
"value": "<image>Assuming Xiaofan used a mirror positioned at point C, which was placed 10.8 meters along the line from the bottom of the flagpole B, for observing point A at the top of the flagpole while positioned at point E, which lies on the same line as BC, can you determine the heigh... | [
"mulberry_images/geoqa_plus/2320.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194760 | [
{
"from": "user",
"value": "<image>If the length of the generatrix of a cone is 10.0 and the expanded figure of the lateral surface forms a sector with a central angle of 216.0, how can the height of the cone be determined?\nChoices:\nA: 5cm\nB: 6cm\nC: 7cm\nD: 8cm"
},
{
"from": "assistant",
"va... | [
"mulberry_images/geoqa_plus/2012.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194761 | [
{
"from": "user",
"value": "<image>Considering the figure where points A, B, and C are situated on circle O, what is the degree measurement of angle A if angle BOC measures 50.0 degrees?\nChoices:\nA: 25°\nB: 20°\nC: 80°\nD: 100°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The ... | [
"mulberry_images/geoqa_plus/1913.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194762 | [
{
"from": "user",
"value": "<image>Considering the triangle ABC, it can be noticed that line segment DE is parallel to BC. Additionally, the line segment AQ is perpendicular to BC at point Q and intersects line segment DE at point P. With AD = 3.0 and BD = 2.0, what is the numerical value for the fraction A... | [
"mulberry_images/geoqa_plus/4738.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194763 | [
{
"from": "user",
"value": "<image>If a cone is created using a sector with a radius of 3.0 and a central angle of 120.0 for its lateral surface, what will be the size of the radius of its base?\nChoices:\nA: 2πcm\nB: 1.5cm\nC: πcm\nD: 1cm"
},
{
"from": "assistant",
"value": "<think> Okay, so I ... | [
"mulberry_images/geoqa_plus/2159.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194764 | [
{
"from": "user",
"value": "<image>Supposing that the provided figure depicts point C lying on the extended line of AB, intersecting perpendicular lines CE and FB at point E, where CE is perpendicular to line AF and FB is perpendicular to line D. If angle F is equal to 40 degrees and angle C is equal to 20 ... | [
"mulberry_images/geoqa_plus/1295.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194765 | [
{
"from": "user",
"value": "<image>In the diagram showing triangle ABC and point D inside it, where BD is perpendicular to CD, find the perimeter of quadrilateral EFGH. E, F, G, and H represent the midpoints of sides AB, BD, CD, and AC respectively. Given that AD = 10, BD = 8, and CD = 6.\nChoices:\nA: 24\n... | [
"mulberry_images/geoqa_plus/12981.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194766 | [
{
"from": "user",
"value": "<image>If the radius of the bottom circle of the cone is 3.0, what is the length of the arc of the sector of the expanded figure of the cone lateral surface?\nChoices:\nA: 2π\nB: 4π\nC: 6π\nD: 9π"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The proble... | [
"mulberry_images/geoqa_plus/2236.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194767 | [
{
"from": "user",
"value": "<image>If the shadow of student B is contained entirely within the shadow of student A during a physical education class, what is the length of student A's shadow when the students are at positions C and D? The distance between class A and class B is 1.0, and the heights of stude... | [
"mulberry_images/geoqa_plus/2355.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194768 | [
{
"from": "user",
"value": "<image>In the provided diagram, angle AOB is a central angle of circle O and has a measure of 50.0 degrees. What is the magnitude of the circumference angle ACB?\nChoices:\nA: 50°\nB: 25°\nC: 100°\nD: 30°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. T... | [
"mulberry_images/geoqa_plus/1850.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194769 | [
{
"from": "user",
"value": "<image>In the figure provided, with AB serving as the diameter of circle O and the lengths of arc BC and arc BD being equal, if angle A is known to be 25 degrees, what is the degree measurement of angle BOD?\nChoices:\nA: 25°\nB: 50°\nC: 12.5°\nD: 30°"
},
{
"from": "assis... | [
"mulberry_images/geoqa_plus/23.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194770 | [
{
"from": "user",
"value": "<image>Consider the figure where triangle ABC is depicted, with DE functioning as the perpendicular bisector of AC. Given that BC is 8.0 centimeters in length and AB measures 10.0 centimeters, what is the perimeter of triangle EBC, measured in centimeters?\nChoices:\nA: 16\nB: 18... | [
"mulberry_images/geoqa_plus/1590.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194771 | [
{
"from": "user",
"value": "<image>In triangle ABC as depicted, CD is perpendicular to AB at point D, while E and F are the midpoints of AC and BC respectively. If the lengths of AB, BC, and DE are 10, 8, and 4.5, what would be the perimeter of triangle DEF?\nChoices:\nA: 9.5\nB: 13.5\nC: 14.5\nD: 17"
},
... | [
"mulberry_images/geoqa_plus/13035.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194772 | [
{
"from": "user",
"value": "<image>Given the figure showing circle O and angle 1 measuring 45.0 degrees, what is the value of angle 2?\nChoices:\nA: 60°\nB: 30°\nC: 45°\nD: 40°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is about a circle with center O. There are tw... | [
"mulberry_images/geoqa_plus/1663.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194773 | [
{
"from": "user",
"value": "<image>In the given figure, triangle ABC is a right triangle with angle ACB measuring 90.0 degrees. CD represents the height drawn from side AB. Given that AB measures 5.0, AC measures 4.0, and BC measures 3.0, what is the value of CD?\nChoices:\nA: \\frac{12}{5}\nB: \\frac{9}{4}... | [
"mulberry_images/geoqa_plus/1960.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194774 | [
{
"from": "user",
"value": "<image>If angle AOB measures 72 degrees and points A, B, and C are all located on circle O, what is the measure of angle ACB?\nChoices:\nA: 18°\nB: 30°\nC: 36°\nD: 72°"
},
{
"from": "assistant",
"value": "<think> Okay, so there's this circle with center O. Points A, B... | [
"mulberry_images/geoqa_plus/1871.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194775 | [
{
"from": "user",
"value": "<image>In circle O, with a radius of 4.0 and an angle AOB of 120.0 degrees, what is the radius of the base circle of the cone created within the shaded sector?\nChoices:\nA: 1\nB: \\frac{4}{3}\nC: \\frac{5}{3}\nD: 2"
},
{
"from": "assistant",
"value": "<think> Okay, l... | [
"mulberry_images/geoqa_plus/2183.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194776 | [
{
"from": "user",
"value": "<image>As depicted in the figure, circle O contains points C and D on both sides of the diameter AB. CD is equal to AD, and angle ABC is specified to be 70 degrees. What is the degree measure of angle BAD?\nChoices:\nA: 30°\nB: 35°\nC: 45°\nD: 50°"
},
{
"from": "assistant... | [
"mulberry_images/geoqa_plus/1917.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194777 | [
{
"from": "user",
"value": "<image>If a sector-shaped paper with a central angle of 120.0 degrees and a radius of 9.0 is used to make a conical bottomless paper cap (as depicted in the figure), what would be the height of the cap?\nChoices:\nA: √{2}cm\nB: 3√{2}cm\nC: 4√{2}cm\nD: 6√{2}cm"
},
{
"from"... | [
"mulberry_images/geoqa_plus/2106.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194778 | [
{
"from": "user",
"value": "<image>Given a figure displaying rectangle ABCD, where the diagonals AC and BD intersect at point O. A perpendicular line AE is drawn from point A to BD at point E, with a ratio of BE:ED = 0.333333. There is also a perpendicular line OF drawn from point O to AD at point F, and OF... | [
"mulberry_images/geoqa_plus/12937.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194779 | [
{
"from": "user",
"value": "<image>Given that the diagram shows circle O with a diameter AB of 8.0 units and angle CBD measuring 30.0 degrees, what is the length of CD?\nChoices:\nA: 1\nB: 2\nC: 3\nD: 4"
},
{
"from": "assistant",
"value": "<think> Okay, let's tackle this geometry problem step by... | [
"mulberry_images/geoqa_plus/1727.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194780 | [
{
"from": "user",
"value": "<image>Considering a sector with a radius of 30.0 and a central angle of 120.0 is utilized to form the lateral surface of a cone, what is the radius of the base of the cone?\nChoices:\nA: 10cm\nB: 20cm\nC: 10πcm\nD: 20πcm"
},
{
"from": "assistant",
"value": "<think> O... | [
"mulberry_images/geoqa_plus/2018.png"
] | vision_r1_mulberry_sft_full |
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