id stringlengths 29 36 | conversations listlengths 1 48 | images listlengths 1 1 | source_dataset stringclasses 2
values |
|---|---|---|---|
vision_r1_mulberry_sft_full-193781 | [
{
"from": "user",
"value": "<image>Within the framework of the given figure, triangle ABC is displayed as being inscribed within circle O, where BC is the diameter of circle O and A is the designated point of tangency. Given that angle MAB amounts to 30.0 degrees, what will be the measure of angle B if the ... | [
"mulberry_images/geoqa_plus/1199.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193782 | [
{
"from": "user",
"value": "<image>Given that triangle ABC has a right angle at angle BAC, AD is perpendicular to BC, AE bisects angle BAC, and angle B is twice the measure of angle C, what is the measure of angle DAE?\nChoices:\nA: 45°\nB: 20°\nC: 30°\nD: 15°"
},
{
"from": "assistant",
"value":... | [
"mulberry_images/geoqa_plus/10640.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193783 | [
{
"from": "user",
"value": "<image>If line a is parallel to line b and angle 1 measures 55 degrees, what is the degree measure of angle 2 in the provided figure?\nChoices:\nA: 115°\nB: 120°\nC: 125°\nD: 135°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure this out. The pro... | [
"mulberry_images/geoqa_plus/1563.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193784 | [
{
"from": "user",
"value": "<image>Consider the figure illustrating triangle ABC, with angle A set at 90 degrees. Point D is positioned on the edge AC, and the line DE is parallel to BC. Given that angle 1 is equal to 155 degrees, what is the degree measure of angle B?\nChoices:\nA: 45°\nB: 55°\nC: 65°\nD: ... | [
"mulberry_images/geoqa_plus/183.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193785 | [
{
"from": "user",
"value": "<image>Assuming a diagram containing circle O, where AB functions as the diameter and points C and D lie on the circle, and given that angle BCD is reported as 40.0 degrees, what is the degree measure for angle ABD?\nChoices:\nA: 40°\nB: 50°\nC: 80°\nD: 90°"
},
{
"from": ... | [
"mulberry_images/geoqa_plus/1483.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193786 | [
{
"from": "user",
"value": "<image>As indicated in the figure, straight lines a and b intersect with straight lines c and d. Given that angle 1 is equal to angle 2 and angle 3 is measured at 110 degrees, what is the degree magnitude of angle 4?\nChoices:\nA: 70°\nB: 80°\nC: 110°\nD: 100°"
},
{
"from... | [
"mulberry_images/geoqa_plus/230.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193787 | [
{
"from": "user",
"value": "<image>In the figure provided, we see a rhombus ABCD with intersecting diagonals AC and BD at point O. A line perpendicular to side AB is drawn through point D, intersecting AB at point H. Given that the length of OA is 6 units and the area of rhombus ABCD is 48 square units, wha... | [
"mulberry_images/geoqa_plus/12820.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193788 | [
{
"from": "user",
"value": "<image>In rectangle ABCD, the diagonals intersect at point O, angle AOB measures 60°, and AB is equal to 2. What is the length of side BC?\nChoices:\nA: 2\nB: 4\nC: 2√{3}\nD: 4√{3}"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. So there's a rectangle AB... | [
"mulberry_images/geoqa_plus/12870.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193789 | [
{
"from": "user",
"value": "<image>Considering the diagram, there are two parallel lines, a and b. A right triangle is formed with the right angle vertex positioned on line b, and the two legs of the right triangle intersect with line a. If the measure of angle 1 is given as 55°, what would be the measure o... | [
"mulberry_images/geoqa_plus/10877.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193790 | [
{
"from": "user",
"value": "<image>Given the diagram displaying congruent triangles ABC and DEF, with BC measuring 12 units and EC measuring 7 units, what is the length of CF?\nChoices:\nA: 5\nB: 6\nC: 7\nD: 8"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure this out. So th... | [
"mulberry_images/geoqa_plus/12495.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193791 | [
{
"from": "user",
"value": "<image>Considering the figure shown, with points C and D positioned on the opposite side of diameter AB in circle O, if the measure of angle ACD is 20.0 degrees, what is the degree measure of angle BAD?\nChoices:\nA: 40°\nB: 50°\nC: 60°\nD: 70°"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/1862.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193792 | [
{
"from": "user",
"value": "<image>In the diagram displaying triangle ABC, where angle BAC is larger than 90 degrees, the perpendicular bisector of side AB intersects BC at point E, and the perpendicular bisector of side AC intersects BC at point F. When segment AE is connected to AF, forming triangle AEF w... | [
"mulberry_images/geoqa_plus/12489.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193793 | [
{
"from": "user",
"value": "<image>The given figure represents triangle ABC, featuring midpoint points D, E, and F on sides BC, AC, and AB respectively. Notably, line segment AH intersects line BC perpendicularly at point H, and it is known that HE is of length 8 units. Calculate the length of segment DF in... | [
"mulberry_images/geoqa_plus/12983.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193794 | [
{
"from": "user",
"value": "<image>Given the information that AB is parallel to CD, E is the midpoint of BC, EF is perpendicular to AD at point F, AD measures 4 units, and EF measures 5 units, what is the area of trapezoid ABCD as shown in the diagram?\nChoices:\nA: 40\nB: 30\nC: 20\nD: 10"
},
{
"fr... | [
"mulberry_images/geoqa_plus/11728.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193795 | [
{
"from": "user",
"value": "<image>Consider the figure shown, where circle O has diameter AB and chord CD, with CD being equal to AB. If the measure of angle CAB is 20.0 degrees, what would be the measure of angle BOD?\nChoices:\nA: 30°\nB: 40°\nC: 45°\nD: 50°"
},
{
"from": "assistant",
"value":... | [
"mulberry_images/geoqa_plus/1039.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193796 | [
{
"from": "user",
"value": "<image>Given the illustration of triangle ABC with a right angle at C, and angle ABC bisected by BD, while AB and CD measure 12 and 4 units, respectively, what is the area of triangle ABD?\nChoices:\nA: 20\nB: 24\nC: 42\nD: 48"
},
{
"from": "assistant",
"value": "<thi... | [
"mulberry_images/geoqa_plus/11553.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193797 | [
{
"from": "user",
"value": "<image>Given a diagram showing rectangle ABCD with a perimeter of 20cm, where the lines AC and BD intersect at point O, a perpendicular line EF is drawn through point O. This line intersects AD at E and BC at F. If line CE is connected, what will be the perimeter of triangle CDE?... | [
"mulberry_images/geoqa_plus/12680.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193798 | [
{
"from": "user",
"value": "<image>Supposing that the area of triangle ABC amounts to 8 square units, and with D positioned on side AB, E being the midpoint of CD, and F acting as the midpoint of BE, what can be said about the area of triangle ABF?\nChoices:\nA: 3\nB: 2\nC: \\frac{5}{2}\nD: 1"
},
{
... | [
"mulberry_images/geoqa_plus/11855.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193799 | [
{
"from": "user",
"value": "<image>If in the figure shown, ABCD is a parallelogram with AC and BD intersecting at point O, and AB is perpendicular to AC, and if AB is 4 units and AC is 6 units, what is the perimeter of triangle COD?\nChoices:\nA: 8\nB: 10\nC: 12\nD: 16"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/12428.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193800 | [
{
"from": "user",
"value": "<image>In the provided figure depicting triangle ABC, the midpoints of BC, AD, and CE are denoted by D, E, and F respectively. If the area of triangle ABC equals 8 square cm, what is the measure of the area of the shaded region triangle BEF?\nChoices:\nA: 4cm2\nB: 2cm2\nC: 0.5cm2... | [
"mulberry_images/geoqa_plus/11860.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193801 | [
{
"from": "user",
"value": "<image>Given the diagram with parallel lines a and b, triangle ABC has vertex C on line b, forming a right angle. Find the measure of angle 2 if angle 1 is known to be 26 degrees.\nChoices:\nA: 26°\nB: 54°\nC: 64°\nD: 66°"
},
{
"from": "assistant",
"value": "<think> O... | [
"mulberry_images/geoqa_plus/10894.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193802 | [
{
"from": "user",
"value": "<image>In the given parallelogram ABCD, as shown in the figure, if point E is the midpoint of side AB and the diagonal DE intersects the diagonal AC at point F, and AF is measured to be 3 units, what is the length of AC?\nChoices:\nA: 3\nB: 4\nC: 6\nD: 9"
},
{
"from": "as... | [
"mulberry_images/geoqa_plus/12553.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193803 | [
{
"from": "user",
"value": "<image>As illustrated in the figure, triangle ABC is an equilateral triangle. Line segment DE is parallel to BC. Given that AB is 7 units and BD is 3 units, what would be the total perimeter of triangle ADE?\nChoices:\nA: 4\nB: 9\nC: 12\nD: 21"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/12509.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193804 | [
{
"from": "user",
"value": "<image>If triangle ABC is depicted as circumscribed about circle O, and angle A measures 50 degrees, what is the degree measure of angle CBD formed by connecting BD when OD is perpendicular to BC with the foot at E in the given diagram?\nChoices:\nA: 50°\nB: 60°\nC: 25°\nD: 30°"
... | [
"mulberry_images/geoqa_plus/10190.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193805 | [
{
"from": "user",
"value": "<image>Given that AB is perpendicular to AC in parallelogram ABCD, with AB measuring 4 units and AC measuring 6 units, what is the length of BD?\nChoices:\nA: 11\nB: 10\nC: 9\nD: 8"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the length of diag... | [
"mulberry_images/geoqa_plus/12533.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193806 | [
{
"from": "user",
"value": "<image>Consider the diagram illustrating a rectangle ABCD, where AD is parallel to BC, and the rectangle is folded along BD, causing point A to fall on point E. If the line DE intersects side BC at point F, what is the measure of angle DFC, given that angle ADB measures 20 degree... | [
"mulberry_images/geoqa_plus/10881.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193807 | [
{
"from": "user",
"value": "<image>In the given figure, triangle ABC is depicted, and it is given that points D and E are the midpoints of BC and AD respectively. With the information that EF is twice the length of FC and the area of triangle ABC is 12, what is the area of triangle BEF?\nChoices:\nA: 5\nB: ... | [
"mulberry_images/geoqa_plus/11997.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193808 | [
{
"from": "user",
"value": "<image>In the diagram shown, there is a triangular ruler with a 60° angle placed on top of another ruler, with the vertex of the 60° angle lying on one side of the ruler and its two sides intersecting with the ruler. If angle 2 is 70°, what is the degree measure of angle 1?\nChoi... | [
"mulberry_images/geoqa_plus/11122.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193809 | [
{
"from": "user",
"value": "<image>In the provided figure depicting triangle ABC with angle C measuring 90 degrees and angle BAC measuring 70 degrees, if the triangle is rotated clockwise around point A by 70 degrees, resulting in the vertices becoming B′ and C′, what is the degree measure of angle ABB′?\nC... | [
"mulberry_images/geoqa_plus/1134.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193810 | [
{
"from": "user",
"value": "<image>If in triangle ABC, point G is the centroid, BG is connected, and GD is drawn parallel to AB and passing through G to intersect BC at D, and the area of triangle BDG is 1, then what would be the area of triangle ABC?\nChoices:\nA: 6\nB: 8\nC: 9\nD: 12"
},
{
"from":... | [
"mulberry_images/geoqa_plus/11401.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193811 | [
{
"from": "user",
"value": "<image>Xiaoming used the \"X-type rotary pliers\" to measure the thickness of a small circular container, following the method depicted in the figure. It was observed that OA equals OD, OB equals OC, AB measures 5 centimeters, and EF measures 7 centimeters. What is the thickness ... | [
"mulberry_images/geoqa_plus/12539.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193812 | [
{
"from": "user",
"value": "<image>In the provided diagram of rectangle ABCD, with AB measuring 24 units and BC measuring 25 units, if an arc is drawn with BC as the radius and centered at point B, intersecting side AD at point E, what is the length of EC?\nChoices:\nA: 26\nB: 28\nC: 30\nD: 32"
},
{
... | [
"mulberry_images/geoqa_plus/12075.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193813 | [
{
"from": "user",
"value": "<image>In the given figure displaying quadrilateral ABCD, with angle BAD being bisected by AE and E denoting the intersection of AE with side CD, suppose AD equals 6 units and EC equals 4 units. What is the length of AB?\nChoices:\nA: 1\nB: 6\nC: 10\nD: 12"
},
{
"from": "... | [
"mulberry_images/geoqa_plus/12430.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193814 | [
{
"from": "user",
"value": "<image>In the given figure, quadrilateral ABCD is inscribed in circle O. What is the measure of angle D if the external angle EBC is 80°?\nChoices:\nA: 75°\nB: 78°\nC: 80°\nD: 100°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the measure of ang... | [
"mulberry_images/geoqa_plus/11295.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193815 | [
{
"from": "user",
"value": "<image>If AB is parallel to CD in the provided diagram and there exists a point P on CD, with PE as the bisector of angle DPF, what would be the size of angle EPD when angle 1 measures 50°?\nChoices:\nA: 65°\nB: 75°\nC: 85°\nD: 95°"
},
{
"from": "assistant",
"value": ... | [
"mulberry_images/geoqa_plus/10799.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193816 | [
{
"from": "user",
"value": "<image>When the set square is stacked as depicted, what is the measure of angle 1?\nChoices:\nA: 90°\nB: 100°\nC: 105°\nD: 135°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure out angle 1 here. So, there's a larger right-angled triangle that's 4... | [
"mulberry_images/geoqa_plus/10423.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193817 | [
{
"from": "user",
"value": "<image>Refer to the figure given, in which circle O is shown with a diameter BC measuring 6.0 units, and point A is positioned on the circle. Angle C is measured at 30.0 degrees. Determine the value of the length AB.\nChoices:\nA: 6\nB: 3\nC: 3√{2}\nD: 3√{3}"
},
{
"from":... | [
"mulberry_images/geoqa_plus/1730.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193818 | [
{
"from": "user",
"value": "<image>In the provided diagram, consider rectangle ABCD with diagonals AC and BD intersecting at point O. Line segment EO is perpendicular to AC at point O and intersects line segment BC at point E. If the perimeter of triangle ABE is 5 units and the length of line segment AB is ... | [
"mulberry_images/geoqa_plus/12749.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193819 | [
{
"from": "user",
"value": "<image>In the given diagram of rectangle ABCD, point O is the intersection of diagonals AC and BD. If AC measures 10 units and the angle ACB is 30 degrees, what is the length of CD?\nChoices:\nA: 5\nB: 10\nC: 5√{3}\nD: 5√{5}"
},
{
"from": "assistant",
"value": "<think... | [
"mulberry_images/geoqa_plus/12903.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193820 | [
{
"from": "user",
"value": "<image>In the given figure, lines PA and PB are tangent to circle O at points A and B respectively. If angle P is measured at 80 degrees, what is the value of angle C?\nChoices:\nA: 160°\nB: 100°\nC: 50°\nD: 80°"
},
{
"from": "assistant",
"value": "<think> Okay, let's... | [
"mulberry_images/geoqa_plus/1481.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193821 | [
{
"from": "user",
"value": "<image>If in a diagram, quadrilateral ABCD is shown with AB measuring 1, BC measuring 1, CD measuring 2, DA measuring the square root of 6, and angle ABC measuring 90 degrees, then what is the area of quadrilateral ABCD?\nChoices:\nA: 2\nB: 0.5+√{2}\nC: 1+√{2}\nD: \\frac{1+√{2}}{... | [
"mulberry_images/geoqa_plus/11377.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193822 | [
{
"from": "user",
"value": "<image>Given the information in the diagram, including AB+AC equalling 16 and point O being the intersection of the bisectors of angle ABC and angle ACB, with OD perpendicular to BC at point D and measuring 4, what is the area of quadrilateral ABOC?\nChoices:\nA: 36\nB: 32\nC: 30... | [
"mulberry_images/geoqa_plus/11557.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193823 | [
{
"from": "user",
"value": "<image>The provided diagram features rectangle ABCD, where the intersection of diagonals AC and BD occurs at point O. A perpendicular line OE is constructed from point O to segment BD, intersecting side AD at a point called E. When AB is measured as 2 and the area of triangle DOE... | [
"mulberry_images/geoqa_plus/12793.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193824 | [
{
"from": "user",
"value": "<image>The figure shows triangle ABC, point D lies on the arc AC, which is circumscribed by the triangle. If AB is equal to AC and angle CAB measures 50.0 degrees, what is the degree measure of angle ADC?\nChoices:\nA: 130°\nB: 125°\nC: 105°\nD: 115°"
},
{
"from": "assist... | [
"mulberry_images/geoqa_plus/1297.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193825 | [
{
"from": "user",
"value": "<image>What is the degree measure of angle BOC in circle O, where AB is the diameter and AC is a chord, if angle ACO is given as 30.0 degrees?\nChoices:\nA: 30°\nB: 45°\nC: 55°\nD: 60°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to figure out the meas... | [
"mulberry_images/geoqa_plus/3302.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193826 | [
{
"from": "user",
"value": "<image>If in the diagram, triangle ABC has AB equal to AC, AD perpendicular to BC, and E as the midpoint of AC, with DE measuring 5, what is the length of AB?\nChoices:\nA: 10\nB: 12\nC: 13\nD: 11"
},
{
"from": "assistant",
"value": "<think> Alright, let me try to fig... | [
"mulberry_images/geoqa_plus/13044.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193827 | [
{
"from": "user",
"value": "<image>In the given figure, chord AB intersects the radius OC at right angle, where O is the center of the circle. If OA equals 3.0 and point D is the midpoint of OC, what is the length of AB?\nChoices:\nA: 3\nB: 3√{3}\nC: 6\nD: 3√{5}"
},
{
"from": "assistant",
"value... | [
"mulberry_images/geoqa_plus/5164.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193828 | [
{
"from": "user",
"value": "<image>In the diagram provided, equilateral triangle ABC has a side length of 6.0 units. Point P lies on side BC, where BP measures 2.0 units. Point D is located on side AC. If angle APD is equal to 60.0 degrees, what is the length of CD?\nChoices:\nA: 2\nB: \\frac{4}{3}\nC: \\fr... | [
"mulberry_images/geoqa_plus/7257.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193829 | [
{
"from": "user",
"value": "<image>Given that AB is the diameter of circle O and angle AOC equals 130.0 degrees in the figure, what is the degree measure of angle D?\nChoices:\nA: 25°\nB: 35°\nC: 50°\nD: 65°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the measure of angl... | [
"mulberry_images/geoqa_plus/9726.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193830 | [
{
"from": "user",
"value": "<image>Given a scenario where the width of a river needs to be estimated, a target point A is marked on the opposite bank, and points B and C are selected on the same side of the river. It is known that AB is perpendicular to BC, and EC is perpendicular to BC. If the measurements... | [
"mulberry_images/geoqa_plus/2310.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193831 | [
{
"from": "user",
"value": "<image>Suppose an isosceles triangle ABC is depicted in the figure, with AB equivalent to AC. Parallelogram AFDE is formed by vertices D, E, and F on the sides BC, AC, and AB respectively. If the perimeter of parallelogram AFDE amounts to 30.0, what is the length of the waist of ... | [
"mulberry_images/geoqa_plus/9412.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193832 | [
{
"from": "user",
"value": "<image>If in the provided figure, PA and PB are tangents to circle O at points A and B, with point C located on circle O, and angle P equals 50.0 degrees, what is the measure of angle ACB?\nChoices:\nA: 40°\nB: 50°\nC: 65°\nD: 130°"
},
{
"from": "assistant",
"value": ... | [
"mulberry_images/geoqa_plus/4071.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193833 | [
{
"from": "user",
"value": "<image>Given that tangents PA and PB have points of tangency at A and B respectively with circle O, and angle P measures 50.0, what is the measure of angle C?\nChoices:\nA: 50°\nB: 55°\nC: 60°\nD: 65°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to fig... | [
"mulberry_images/geoqa_plus/3894.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193834 | [
{
"from": "user",
"value": "<image>If we observe the figure of triangle ABC, with EF being parallel to BC and the fraction of AE to BE being 1/2, and given that the length of EF is 3.0 units, what is the unknown value of BC?\nChoices:\nA: 4\nB: 6\nC: 8\nD: 9"
},
{
"from": "assistant",
"value": "... | [
"mulberry_images/geoqa_plus/7164.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193835 | [
{
"from": "user",
"value": "<image>In a tennis match, if Xiaofang is to hit the ball just over the net, where the net's height is 'h' units (h = 0.8) and the landing position of the ball is 'd' units (d = 5.0) beyond the net in the opponent's area, and her hitting height is 'x' units (x = 2.4), what is the ... | [
"mulberry_images/geoqa_plus/2329.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193836 | [
{
"from": "user",
"value": "<image>As depicted in the figure, if triangle ACD is similar to triangle ADB, and AC equals 4.0 while AD equals 2.0, what is the length of AB?\nChoices:\nA: 1\nB: 2\nC: 3\nD: 4"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the length of AB given... | [
"mulberry_images/geoqa_plus/4788.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193837 | [
{
"from": "user",
"value": "<image>Imagine a figure where line a runs parallel to line b. Line l intersects line a at point A and line b at point B. Furthermore, the perpendicular to line l through point A intersects line b at point C. If the measure of angle 1 is 58.0 degrees, what is the degree measure of... | [
"mulberry_images/geoqa_plus/347.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193838 | [
{
"from": "user",
"value": "<image>In parallelogram ABCD, if angle C measures 120.0 degrees, extend BA to point E, extend DA to point F, and connect EF. What is the measure of angle E plus the measure of angle F?\nChoices:\nA: 120°\nB: 30°\nC: 50°\nD: 60°"
},
{
"from": "assistant",
"value": "<th... | [
"mulberry_images/geoqa_plus/5707.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193839 | [
{
"from": "user",
"value": "<image>Given the diagram, a long ladder AB is leaning against a wall. The foot of the ladder, denoted by point B, is positioned 1.4 units away from the corner of the wall. Point D, which is located upstairs, is situated 1.2 units away from the wall. Alongside, the length of BD me... | [
"mulberry_images/geoqa_plus/2288.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193840 | [
{
"from": "user",
"value": "<image>What is the length of DC when CD is connected in triangle AOB, with angle AOB at 120.0 degrees and BD, AC as the two heights, if AB equals 4.0?\nChoices:\nA: √{3}\nB: 2\nC: \\frac{3√{3}}{2}\nD: \\frac{3√{3}}{4}"
},
{
"from": "assistant",
"value": "<think> Okay,... | [
"mulberry_images/geoqa_plus/7739.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193841 | [
{
"from": "user",
"value": "<image>With reference to the given diagram, where circle O has a radius of 4.0 and chord AB has a length of 1.0, if the sum of angle BCA and angle EAD is 90.0 degrees, what will be the length of chord DE?\nChoices:\nA: 5\nB: √{65}\nC: 7\nD: 3√{7}"
},
{
"from": "assistant"... | [
"mulberry_images/geoqa_plus/3109.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193842 | [
{
"from": "user",
"value": "<image>As displayed in the figure, a diamond labeled ABCD is shown. On the diagonal AC lies point P, and the length of AB is specified as 2.0 units, with angle B measuring 120.0 degrees. In addition, point E is positioned at the intersection of line CD and the perpendicular line ... | [
"mulberry_images/geoqa_plus/9218.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193843 | [
{
"from": "user",
"value": "<image>If a road is planned to be built from Village A along the direction 75.0 to the east by north to Village B, and from Village B along the direction 25.0 to the west by north to Village C, what is the clockwise rotation angle needed to keep the road CE in the same direction ... | [
"mulberry_images/geoqa_plus/5355.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193844 | [
{
"from": "user",
"value": "<image>In the given figure, AB represents the diameter of circle O, where points C and D are located on circle O. If angle DCB measures 110 degrees, what is the degree measure of angle AED?\nChoices:\nA: 15°\nB: 20°\nC: 25°\nD: 30°"
},
{
"from": "assistant",
"value": ... | [
"mulberry_images/geoqa_plus/3041.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193845 | [
{
"from": "user",
"value": "<image>Given the perpendicular relationship between OC and AB in circle O, and angle ADC measuring 35.0 degrees, determine the measure of angle OBA.\nChoices:\nA: 35\nB: 30°\nC: 25°\nD: 20°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure out the... | [
"mulberry_images/geoqa_plus/1804.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193846 | [
{
"from": "user",
"value": "<image>In the figure of parallelogram ABCD, where AB and BC have lengths of 6.0 units and 8.0 units respectively, the perpendicular bisector of AC intersects AD at point E. What is the perimeter of triangle CDE?\nChoices:\nA: 6\nB: 8\nC: 14\nD: 16"
},
{
"from": "assistant... | [
"mulberry_images/geoqa_plus/9266.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193847 | [
{
"from": "user",
"value": "<image>In the figure provided, where AB, AC, and AD are all equal in length and angle CBD is measured at 44.0 degrees, what is the measure of angle CAD?\nChoices:\nA: 68°\nB: 88°\nC: 90°\nD: 112°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to figure o... | [
"mulberry_images/geoqa_plus/3154.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193848 | [
{
"from": "user",
"value": "<image>In the provided diagram, a rectangle ABCD is illustrated, with AB measuring 2.0 units and BC measuring 3.0 units. If AE is the angle bisector of angle BAD and EF is perpendicular to AE, what is the measurement of AF?\nChoices:\nA: 3√{2}\nB: 4\nC: 2√{5}\nD: √{10}"
},
{
... | [
"mulberry_images/geoqa_plus/9090.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193849 | [
{
"from": "user",
"value": "<image>In the provided diagram, a wedge is inserted horizontally into the bottom of a wooden pile from the bottom end point P, resulting in the creation of a right triangle ABC. The inclined surface of the wedge has an inclination angle of 15.0. When the wedge moves horizontally ... | [
"mulberry_images/geoqa_plus/7338.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193850 | [
{
"from": "user",
"value": "<image>As depicted, circle O has diameter AB, and chords AC and BC, with tangent PC at point C. With angle ACP measuring 55.0 degrees, what is the measure of angle BAC?\nChoices:\nA: 35°\nB: 45°\nC: 55°\nD: 65°"
},
{
"from": "assistant",
"value": "<think> Okay, let's ... | [
"mulberry_images/geoqa_plus/4461.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193851 | [
{
"from": "user",
"value": "<image>Given that AB is the diameter of circle O and points C and D lie on circle O, if angle C is 40 degrees, what is the degree measure of angle ABD?\nChoices:\nA: 40°\nB: 50°\nC: 70°\nD: 80°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the m... | [
"mulberry_images/geoqa_plus/3383.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193852 | [
{
"from": "user",
"value": "<image>If in the provided figure, the quadrilateral ABCD is inscribed in circle O with AB as the diameter of circle O and EC as the tangent to circle O at point C, and angle ECB equals 35.0 degrees, what is the angle measure of angle D?\nChoices:\nA: 145°\nB: 125°\nC: 90°\nD: 80°... | [
"mulberry_images/geoqa_plus/4223.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193853 | [
{
"from": "user",
"value": "<image>Within the depicted diagram, where line 'm' is parallel to line 'n' and angle 1 is 130°, determine the degree measurement of angle 2. Use the variable 'z' to represent the value of angle 2.\nChoices:\nA: 130°\nB: 70°\nC: 65°\nD: 50°"
},
{
"from": "assistant",
"... | [
"mulberry_images/geoqa_plus/10758.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193854 | [
{
"from": "user",
"value": "<image>Triangle ABC is depicted in the figure, with D as the midpoint of side BC and E as the midpoint of side AC. Angle ABC is bisected by BF, which intersects DE at point F. Given that BC measures 6 units, what is the measurement of DF?\nChoices:\nA: 2\nB: 3\nC: 2.5\nD: 4"
},... | [
"mulberry_images/geoqa_plus/13052.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193855 | [
{
"from": "user",
"value": "<image>In the given figure, consider line 'a' parallel to line 'b' and line segment AC perpendicular to line 'b' with foot C. If angle A is 40°, what is the measure of angle 1?\nChoices:\nA: 40°\nB: 45°\nC: 50°\nD: 60°"
},
{
"from": "assistant",
"value": "<think> Alri... | [
"mulberry_images/geoqa_plus/10437.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193856 | [
{
"from": "user",
"value": "<image>Given the figure illustrating quadrilateral ABCD, where angle BAD is bisected by AE and point E is the intersection of AE and side CD, if AD is known to be 6 units long and EC is 4 units long, what is the length of AB?\nChoices:\nA: 1\nB: 6\nC: 10\nD: 12"
},
{
"fro... | [
"mulberry_images/geoqa_plus/12430.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193857 | [
{
"from": "user",
"value": "<image>What is the total distance around quadrilateral DEFG if AO is measured at 6cm, BC is measured at 8cm, and triangle ABC has medians BD and CE intersecting at point O, with F and G as the midpoints of BO and CO respectively?\nChoices:\nA: 14\nB: 18\nC: 24\nD: 28"
},
{
... | [
"mulberry_images/geoqa_plus/12996.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193858 | [
{
"from": "user",
"value": "<image>If the lines a, b, and c are parallel, and intersected by line n at points D, E, and F, and the ratio of AB to BC is 1:2, what is the resulting ratio of DE to EF?\nChoices:\nA: \\frac{1}{3}\nB: \\frac{1}{2}\nC: \\frac{2}{3}\nD: 1"
},
{
"from": "assistant",
"val... | [
"mulberry_images/geoqa_plus/4674.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193859 | [
{
"from": "user",
"value": "<image>In the figure representing triangle ABC, where angle B is equal to 48.0 degrees, point E marks the intersection of the bisector of exterior angle DAC and exterior angle ACF. How many degrees does angle AEC measure?\nChoices:\nA: 56°\nB: 66°\nC: 76°\nD: 无法确定"
},
{
"... | [
"mulberry_images/geoqa_plus/300.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193860 | [
{
"from": "user",
"value": "<image>If the quadrilateral ABCD is inscribed in circle O and angle BCD is known to be 140° in the figure, what is the degree measure of angle BOD?\nChoices:\nA: 40°\nB: 50°\nC: 80°\nD: 100°"
},
{
"from": "assistant",
"value": "<think> Okay, let's tackle this problem ... | [
"mulberry_images/geoqa_plus/10096.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193861 | [
{
"from": "user",
"value": "<image>On the given diagram, AB serves as the diameter of circle O, and the quadrilateral ABCD is inscribed within circle O. With BC and CD both equaling 6.0, and angle ABD measuring 30.0, what is the area of circle O?\nChoices:\nA: 25πcm²\nB: 49πcm²\nC: 32πcm²\nD: 36πcm²"
},
... | [
"mulberry_images/geoqa_plus/8610.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193862 | [
{
"from": "user",
"value": "<image>If the lines l_{1.0}, l_{2.0}, and l_{3.0} are parallel and intersect at points A, B, and C in the provided figure, and if line DF intersects l_{1.0}, l_{2.0}, and l_{3.0} at points D, E, and F, with AC and DF intersecting at point H, then what is the ratio EF/DE if AB equ... | [
"mulberry_images/geoqa_plus/4517.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193863 | [
{
"from": "user",
"value": "<image>In the figure provided, a square ABCD with a side length of 10.0 units is rotating around the point O, which represents the intersection of its diagonals, creating a new square OA′B′C′. What is the area of the shaded region?\nChoices:\nA: 100cm²\nB: 75cm²\nC: 50cm²\nD: 25c... | [
"mulberry_images/geoqa_plus/8920.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193864 | [
{
"from": "user",
"value": "<image>In the figure of parallelogram ABCD, if the angle BAD is bisected by a line that intersects the extended line of BC at point E, and AB and BC measure 10.0 and 6.0 respectively, what is the size of CE?\nChoices:\nA: 1\nB: 2\nC: 3\nD: 4"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/9388.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193865 | [
{
"from": "user",
"value": "<image>In triangle ABC, with AB = AC = 10 and BC = 8, AD is perpendicular to BC at point D, and E is the midpoint of AC. Calculate the length of DE.\nChoices:\nA: 4\nB: 5\nC: 6\nD: 8"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. I need to find the leng... | [
"mulberry_images/geoqa_plus/12161.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193866 | [
{
"from": "user",
"value": "<image>In circle O, the diameter CD is perpendicular to chord AB. If angle C measures 25.0 degrees, what is the degree measurement of angle BOD?\nChoices:\nA: 25°\nB: 30°\nC: 40°\nD: 50°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is abou... | [
"mulberry_images/geoqa_plus/9830.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193867 | [
{
"from": "user",
"value": "<image>Given that angle ACB equals 20.0 degrees and vertices A, B, and C are on circle O, what is the value of angle AOB?\nChoices:\nA: 20°\nB: 40°\nC: 50°\nD: 80°"
},
{
"from": "assistant",
"value": "<think> Okay, so there's this circle with center O, and points A, B... | [
"mulberry_images/geoqa_plus/8612.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193868 | [
{
"from": "user",
"value": "<image>What is the measure of angle C in quadrilateral ABCD when the degree of arc BCD is 240.0?\nChoices:\nA: 120°\nB: 80°\nC: 60°\nD: 40°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the measure of angle C in the cyclic quadrilateral ABCD. Th... | [
"mulberry_images/geoqa_plus/3623.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193869 | [
{
"from": "user",
"value": "<image>In the given figure, consider parallelogram ABCD with BD perpendicular to AD, AB measuring 10 units, and AD measuring 6 units. A rectangle DEBF is constructed inside the parallelogram. Determine the length of the diagonal EF of rectangle DEBF.\nChoices:\nA: 8\nB: 9\nC: 10\... | [
"mulberry_images/geoqa_plus/12167.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193870 | [
{
"from": "user",
"value": "<image>If AB is the diameter of circle O and angle CDB measures 40.0 degrees, what is the degree measure of angle ABC?\nChoices:\nA: 40°\nB: 50°\nC: 60°\nD: 80°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure this out. So, AB is the diameter of ... | [
"mulberry_images/geoqa_plus/8491.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193871 | [
{
"from": "user",
"value": "<image>If in the right triangle ABC, angle BAC is 90 degrees, point E is the midpoint of the hypotenuse BC, circle O passes through points A, C, and E, F is a point on the arc EC, and angle AFC measures 36 degrees, what is the degree measurement of angle B?\nChoices:\nA: 20°\nB: ... | [
"mulberry_images/geoqa_plus/3395.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193872 | [
{
"from": "user",
"value": "<image>If in the figure, right triangle ABC is shown, with angle C measuring 90 degrees and angle A measuring 26 degrees, and a circle with center C and radius BC intersects side AB and side AC at points D and E respectively, what is the degree measure of arc BD?\nChoices:\nA: 26... | [
"mulberry_images/geoqa_plus/3233.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193873 | [
{
"from": "user",
"value": "<image>In the figure provided, triangle ABC is illustrated with the line DE parallel to the line BC. Points D and E are situated on the sides AB and AC respectively. Given that the fraction AD over DB equals 1/3, what is the value of the fraction DE over BC?\nChoices:\nA: \\frac{... | [
"mulberry_images/geoqa_plus/7358.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193874 | [
{
"from": "user",
"value": "<image>In the figure, the diameter of circle O is AB, and chord CD is perpendicular to AB at point M. If the length of AM is 2.0 and the length of OM is 3.0, what is the length of CD?\nChoices:\nA: 4\nB: 5\nC: 8\nD: 16"
},
{
"from": "assistant",
"value": "<think> Alri... | [
"mulberry_images/geoqa_plus/5183.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193875 | [
{
"from": "user",
"value": "<image>In the figure, where AD is the midline of triangle ABC and AB measures 5.0 units with AC measuring 3.0 units, what is the difference in perimeter between triangle ABD and triangle ACD?\nChoices:\nA: 6\nB: 3\nC: 2\nD: 不确定"
},
{
"from": "assistant",
"value": "<th... | [
"mulberry_images/geoqa_plus/5245.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193876 | [
{
"from": "user",
"value": "<image>Provided that circle O is displayed in the figure, chord AB and CD intersect at point M. If angle C measures 45.0 degrees and angle AMD measures 75.0 degrees, what is the degree measure of angle D?\nChoices:\nA: 15°\nB: 25°\nC: 30°\nD: 75°"
},
{
"from": "assistant"... | [
"mulberry_images/geoqa_plus/3264.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193877 | [
{
"from": "user",
"value": "<image>In the given figure, lines AB and CD intersect at point O, where MO is perpendicular to AB with the foot of the perpendicular at point O. If the measure of angle AOD is 136.0 degrees, what is the measure of angle COM? Represent the measure of angle COM as θ.\nChoices:\nA: ... | [
"mulberry_images/geoqa_plus/1102.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193878 | [
{
"from": "user",
"value": "<image>In triangle ABC, shown in the figure, the perpendicular bisector of AC intersects AB at point D, and angle A is 50.0 degrees. Find the measure of angle BDC.\nChoices:\nA: 90°\nB: 100°\nC: 120°\nD: .130°A16.5"
},
{
"from": "assistant",
"value": "<think> Okay, so... | [
"mulberry_images/geoqa_plus/985.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193879 | [
{
"from": "user",
"value": "<image>Given the figure, ABCD is a parallelogram with a circumference of 20.0 units. AB is not equal to AD, and point O is the intersection of AC and BD. OE is a line perpendicular to BD that intersects AD at point E. Find the perimeter of triangle ABE. \nChoices:\nA: 4cm\nB: 6cm... | [
"mulberry_images/geoqa_plus/14.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-193880 | [
{
"from": "user",
"value": "<image>In triangle ABC, where AB = AC = 10.0 and angle BAC = 120.0, let AD be the median of the triangle, AE be the angle bisector of angle BAD, and DF be a line parallel to AB intersecting the extended line of AE at point F. Find the length of DF.\nChoices:\nA: 2\nB: 4\nC: 5\nD:... | [
"mulberry_images/geoqa_plus/5865.png"
] | vision_r1_mulberry_sft_full |
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