OpenVLThinker-v1.2 Datasets
Collection
3 items
•
Updated
Dataset Viewer
problem
stringlengths 7
550
| answer
stringlengths 1
22
| source
stringclasses 3
values | image_url
stringlengths 0
33
| images
images listlengths 1
1
|
|---|---|---|---|---|
<image>If DE = 60 and FC = 16, find the length of segment AC | 62 | geometry3k | data/llavaone/identity_81733.jpg | |
<image>If a = 10 \sqrt { 3 }, find C E.
Choices:
(A) 5 \sqrt 3
(B) 10
(C) 15
(D) 10 \sqrt 3 | c | geometry3k | data/llavaone/identity_9658.jpg | |
<image>If the figure is cut along the dashed line, what is the area of one of the resulting triangles? | 97.5 | geometry3k | data/llavaone/identity_161279.jpg | |
<image>What is the measure of angle QRP in the parallelogram M N P R? | 83 | geometry3k | data/llavaone/identity_91122.jpg | |
<image>What is the measure of angle 4? | 49 | geometry3k | data/llavaone/identity_89980.jpg | |
<image>What is the perimeter of triangle JKL? | 27.5 | geometry3k | data/llavaone/identity_83461.jpg | |
<image>What is the measure of angle J in the given pentagon EFGHJ? | 112° | geometry3k | data/llavaone/identity_81189.jpg | |
<image>What is the measure of angle 8 in the rectangle ABCD? | 90 | geometry3k | data/llavaone/identity_80060.jpg | |
<image>In quadrilateral ABCD inscribed in circle Z, angle BZA measures 104 degrees, angle CBA measures 94 degrees, and AB is parallel to DC. What is the measure of angle BZA?
Choices:
(A) 36
(B) 90
(C) 104
(D) 120 | c | geometry3k | data/llavaone/identity_278854.jpg | |
<image>Find G H.
Choices:
(A) 17
(B) 35
(C) 39
(D) 45 | c | geometry3k | data/llavaone/identity_12705.jpg | |
<image>m \angle 11 = 4 x, m \angle 12 = 2 x - 6. Find the measure of \angle 11.
Choices:
(A) 116
(B) 118
(C) 120
(D) 124 | d | geometry3k | data/llavaone/identity_11773.jpg | |
<image>What is the measure of angle 2, the angle adjacent to angle 1? | 54 | geometry3k | data/llavaone/identity_80529.jpg | |
<image>What is the length of segment HJ? | 8.1 | geometry3k | data/llavaone/identity_89701.jpg | |
<image>What is the measure of angle ACB in the triangle ABC? | 25.5 | geometry3k | data/llavaone/identity_90660.jpg | |
<image>A B is tangent to the circle. Determine the value of x. Round to the nearest tenth.
Choices:
(A) 5.1
(B) 6.1
(C) 7.1
(D) 8.1 | b | geometry3k | data/llavaone/identity_330693.jpg | |
<image>E D is tangent to \odot F at point E. Find x.
Choices:
(A) 3
(B) 4
(C) 5
(D) 6 | c | geometry3k | data/llavaone/identity_10350.jpg | |
<image>If angle y were to increase by 10 degrees, what would be the new value of angle z? | 44 | geometry3k | data/llavaone/identity_87597.jpg | |
<image>Determine the scale factor from W to W' among the given choices: (A) 0.75, (B) 1.25, (C) 1.5, (D) 1.75. | a | geometry3k | data/llavaone/identity_277988.jpg | |
<image>What is the measure of angle AOB? | 180 | geometry3k | data/llavaone/identity_89782.jpg | |
<image>Determine the measure of angle K.
Choices:
(A) 62
(B) 72
(C) 116
(D) 160 | a | geometry3k | data/llavaone/identity_301710.jpg | |
<image>What is the length of side y? | 11.16 | geometry3k | data/llavaone/identity_161749.jpg | |
<image>a = 14, b = 48, and c = 50, find \tan B.
Choices:
(A) 3.43
(B) 4.8
(C) 5.2
(D) 6.86 | a | geometry3k | data/llavaone/identity_2811.jpg | |
<image>Given rhombus XYZW with m∠WYZ = 53°, VW = 3, XV = 2a - 2, and ZV = (5a + 1)/4, find the length of diagonal XZ | 9.48 | geometry3k | data/llavaone/identity_84766.jpg | |
<image>Determine the measure of angle 1.
Options:
(A) 31
(B) 42
(C) 59
(D) 63 | c | geometry3k | data/llavaone/identity_279090.jpg | |
<image>Given that the pairs of triangles are similar, find the length of side \( QS \) in triangle \( QRS \) | 8 | geometry3k | data/llavaone/identity_232682.jpg | |
<image>If line m is rotated 45° clockwise, what is the new measure of the angle between the transversal and line m? | 45° | geometry3k | data/llavaone/identity_161739.jpg | |
<image>Find the value of x in triangle HJK | 3/4 | geometry3k | data/llavaone/identity_84510.jpg | |
<image>What is the measure of the central angle corresponding to the arc marked as 150 degrees? | 150 | geometry3k | data/llavaone/identity_89391.jpg | |
<image>Find the measure of angle 1 | 16 | geometry3k | data/llavaone/identity_231026.jpg | |
<image>What is the length of side JN in triangle JMN? | 2 | geometry3k | data/llavaone/identity_81175.jpg | |
<image>What is the value of x when y equals 15? | 9/5 | geometry3k | data/llavaone/identity_80475.jpg | |
<image>Given that the diameters of circles A, B, and C are 8 inches, 18 inches, and 11 inches, respectively, what is the diameter of circle B?
(A) 4
(B) 5
(C) 5.5
(D) 11 | b | geometry3k | data/llavaone/identity_262546.jpg | |
<image>What is the ratio of the areas of triangle QRS to triangle QTP? | 0.474609375 | geometry3k | data/llavaone/identity_80735.jpg | |
<image>Given m \widehat F E = 118, m \widehat A B = 108, m \angle E G B = 52, and m \angle E F B = 30, find the measure of angle DAB | 67 | geometry3k | data/llavaone/identity_241597.jpg | |
<image>Find the measure of \(\angle 3\) in the figure | 5 | geometry3k | data/llavaone/identity_234489.jpg | |
<image>If XM = 4, XN = 6, and NZ = 9, find the length of YZ | 10 | geometry3k | data/llavaone/identity_159743.jpg | |
<image>Use parallelogram J K L M to find m \angle M J K.
Choices:
(A) 80
(B) 100
(C) 110
(D) 120 | b | geometry3k | data/llavaone/identity_17365.jpg | |
<image>Determine the measure of \(\angle 6\) given that \(l \parallel m\) and \(\angle 1 = 105^\circ\).
Choices:
(A) 75
(B) 85
(C) 95
(D) 105 | d | geometry3k | data/llavaone/identity_305466.jpg | |
<image>What is the length of the shorter side of the parallelogram? | 8 | geometry3k | data/llavaone/identity_82514.jpg | |
<image>What is the measure of angle 3?
Choices:
(A) 65
(B) 70
(C) 95
(D) 110 | c | geometry3k | data/llavaone/identity_262006.jpg | |
<image>What is the measure of \angle 1? | 109 | geometry3k | data/llavaone/identity_79578.jpg | |
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary | 126 ft | geometry3k | data/llavaone/identity_243658.jpg | |
<image>If triangle JKL is similar to triangle WYZ, find the value of x | 19.5 | geometry3k | data/llavaone/identity_87140.jpg | |
<image>What is the value of x in the parallelogram NQRM? | 4 | geometry3k | data/llavaone/identity_78935.jpg | |
<image>Find x.
Choices:
(A) 6
(B) 8
(C) 10
(D) 12 | a | geometry3k | data/llavaone/identity_18297.jpg | |
<image>Find the measure of angle KMN | 140 | geometry3k | data/llavaone/identity_90398.jpg | |
<image>If JKLM is a rectangle and the diagonals intersect at point P, what is the measure of angle JPK? | 45 | geometry3k | data/llavaone/identity_163315.jpg | |
<image>What is the measure of the angle formed by the tangent and the chord at the point of tangency? | 5x° | geometry3k | data/llavaone/identity_79649.jpg | |
<image>What is the measure of angle 4? | 53 | geometry3k | data/llavaone/identity_90673.jpg | |
<image>What is the circumference of the entire circle? | 8.17 | geometry3k | data/llavaone/identity_81068.jpg | |
<image>Given that J M is congruent to P M and M L is congruent to P L in the figure, and the measure of angle P L J is 34 degrees, what is the measure of angle J P M?
Choices:
(A) 34
(B) 34.5
(C) 36
(D) 36.5 | d | geometry3k | data/llavaone/identity_262569.jpg | |
<image>In triangle JLP, if JK = 3y - 2 and LK = 5y - 8, find the value of y when JK = LK | 3 | geometry3k | data/llavaone/identity_161741.jpg | |
<image>Determine the value of x.
Options:
(A) 7
(B) 8
(C) 11
(D) 13 | b | geometry3k | data/llavaone/identity_303371.jpg | |
<image>What is the sum of the measures of the angles at one pair of opposite vertices in the parallelogram? | 161° | geometry3k | data/llavaone/identity_84951.jpg | |
<image>Find the area of the shaded region if the radius of the circle is 10 units and the square is inscribed in the circle. Round to the nearest tenth | 114 | geometry3k | data/llavaone/identity_255407.jpg | |
<image>Given that UJ = 9, VJ = 3, and ZT = 18, find the perimeter of triangle ZJT | 33 | geometry3k | data/llavaone/identity_240022.jpg | |
<image>If the length of WY is 10 units, what is the length of XZ? | 20 units | geometry3k | data/llavaone/identity_88872.jpg | |
<image>What is the area of the triangle? | 37.5√3 | geometry3k | data/llavaone/identity_160076.jpg | |
<image>What is the length of the radius of the circle? | 3.5 | geometry3k | data/llavaone/identity_79038.jpg | |
<image>What is the perimeter of triangle ABC? | 59 | geometry3k | data/llavaone/identity_85705.jpg | |
<image>What is the length of side MN in the parallelogram M N P R? | 28.3 | geometry3k | data/llavaone/identity_91120.jpg | |
<image>What is the perimeter of the right triangle if x equals 6? | 32 | geometry3k | data/llavaone/identity_85018.jpg | |
<image>If the polygon shown is regular, what is the measure of angle ABC?
Choices:
(A) 140
(B) 144
(C) 162
(D) 180 | a | geometry3k | data/llavaone/identity_306657.jpg | |
<image>Given that the measure of angle 3 is 43 degrees in the figure, what is the measure of angle 7?
Choices:
(A) 43
(B) 53
(C) 127
(D) 137 | a | geometry3k | data/llavaone/identity_262366.jpg | |
<image>If another parallelogram is constructed with the same height but twice the base length, what would be its area? | 2128 m^2 | geometry3k | data/llavaone/identity_160514.jpg | |
<image>What is the measure of angle 1 in the rectangle ABCD? | 50 | geometry3k | data/llavaone/identity_89741.jpg | |
<image>Find the area of the entire circle and then determine the area of the shaded region, which is a sector of the circle with a central angle of 130 degrees. Round your final answer to the nearest tenth | 10.2 | geometry3k | data/llavaone/identity_225577.jpg | |
<image>Find K L.
Choices:
(A) 3
(B) 6
(C) 12
(D) 18 | b | geometry3k | data/llavaone/identity_27337.jpg | |
<image>Given that triangle ABC is congruent to triangle FGH, find the length of side FH | 19 | geometry3k | data/llavaone/identity_90454.jpg | |
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
(A) 16.8
(B) 19.2
(C) 21.6
(D) 22.7 | b | geometry3k | data/llavaone/identity_12872.jpg | |
<image>If trapezoid ABCD is isosceles and the diagonals intersect at point P, what is the measure of angle APD? | 180 | geometry3k | data/llavaone/identity_165661.jpg | |
<image>If the diameters of circle A are DF and PG, and AG is equal to 12, what is the length of LA?
Choices:
(A) 12
(B) 24
(C) 36
(D) 48 | a | geometry3k | data/llavaone/identity_270416.jpg | |
<image>What is the measure of the central angle of the circle? | 110° | geometry3k | data/llavaone/identity_160360.jpg | |
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
(A) 3.2
(B) 6.4
(C) 12.8
(D) 16 | c | geometry3k | data/llavaone/identity_37515.jpg | |
<image>What is the measure of angle AFB? | 139.9 | geometry3k | data/llavaone/identity_88942.jpg | |
<image>What is the measure of the angle JFH in the circle? | 65° | geometry3k | data/llavaone/identity_165641.jpg | |
<image>What is the measure of angle BFG in the circle? | 90 | geometry3k | data/llavaone/identity_89076.jpg | |
<image>In \odot F, G K = 14 and m \widehat G H K = 142. Determine J K.
Choices:
(A) 7
(B) 8
(C) 14
(D) 16 | a | geometry3k | data/llavaone/identity_323707.jpg | |
<image>In the given figure, what is the value of x?
Options:
(A) 19
(B) 23
(C) 26
(D) 28 | c | geometry3k | data/llavaone/identity_268469.jpg | |
<image>In the diagram, m \angle 1 = 50 and m \angle 3 = 60. Determine the measure of \angle 5.
Choices:
(A) 50
(B) 60
(C) 70
(D) 80 | b | geometry3k | data/llavaone/identity_305368.jpg | |
<image>If UJ = 9, VJ = 3, and ZT = 18, find the length of segment ZU | 33 | geometry3k | data/llavaone/identity_83652.jpg | |
<image>Find the measure of angle 1 | 62 | geometry3k | data/llavaone/identity_159780.jpg | |
<image>What is the measure of angle JMK? | 90 | geometry3k | data/llavaone/identity_83462.jpg | |
<image>What is the measure of angle 4 in the figure? | 50 | geometry3k | data/llavaone/identity_91353.jpg | |
<image>If the line with the 78° angle is a transversal intersecting two parallel lines, what is the measure of the angle directly opposite to the 78° angle on the other parallel line? | 78° | geometry3k | data/llavaone/identity_159412.jpg | |
<image>Determine the value of x.
Options:
(A) 3√5
(B) 4√5
(C) 5√5
(D) 6√5 | a | geometry3k | data/llavaone/identity_282035.jpg | |
<image>Determine the value of x.
Options:
(A) 4
(B) 4 \sqrt { 3 }
(C) 8
(D) 6 \sqrt { 3 } | a | geometry3k | data/llavaone/identity_269687.jpg | |
<image>Given that quadrilateral ABCD is a rectangle, find the value of x | 24.857 | geometry3k | data/llavaone/identity_243982.jpg | |
<image>If M N O P is a rhombus, what is the measure of angle MRP? | 45° | geometry3k | data/llavaone/identity_89727.jpg | |
<image>What is the diameter of the circle? | 6 | geometry3k | data/llavaone/identity_83300.jpg | |
<image>In the diagram, m \angle 8 = 96 and m \angle 12 = 42. Determine the measure of \angle 9.
Options:
(A) 42
(B) 84
(C) 94
(D) 96 | b | geometry3k | data/llavaone/identity_318885.jpg | |
<image>If each arrow represents x degrees, what is the value of x? | 30 | geometry3k | data/llavaone/identity_80374.jpg | |
<image>Polygon B C D E \cong polygon R S T U. Find z.
Choices:
(A) 3
(B) 10
(C) 20
(D) 42 | a | geometry3k | data/llavaone/identity_18740.jpg | |
<image>Find the measure of \angle 2 | 32° | geometry3k | data/llavaone/identity_81642.jpg | |
<image>What is the area of the circle? | 3π | geometry3k | data/llavaone/identity_84314.jpg | |
<image>What is the sum of the interior angles of the quadrilateral? | 360 | geometry3k | data/llavaone/identity_84772.jpg | |
<image>Given that MC = 7, RM = 4, and AT = 16, what is the value of SC?
(A) 10.5
(B) 12
(C) 13.5
(D) 21 | a | geometry3k | data/llavaone/identity_278936.jpg | |
<image>\triangle P Q S \cong \triangle R Q S. Find x.
Choices:
(A) 8
(B) 12
(C) 16
(D) 20 | c | geometry3k | data/llavaone/identity_35187.jpg | |
<image>Given that in the figure, the measure of angle 1 is 58 degrees, angle 2 is 47 degrees, and angle 3 is 26 degrees, what is the measure of angle 7?
Choices:
(A) 47
(B) 49
(C) 58
(D) 73 | c | geometry3k | data/llavaone/identity_264352.jpg | |
<image>In triangle ABC, H is the incenter. Determine the length of BD.
Choices:
(A) 7√3
(B) 7
(C) 7√3
(D) 14 | c | geometry3k | data/llavaone/identity_263134.jpg |
End of preview. Expand
in Data Studio
README.md exists but content is empty.
- Downloads last month
- 7
Size of downloaded dataset files:
200 MB
Size of the auto-converted Parquet files:
200 MB
Number of rows:
6,254