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[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geos/7.jpg" } ]
<image>In the accompanying diagram, line PQ and line PS are tangents drawn to circle O, and chord QS is drawn. If the measure of angle P is equal to 40, what is the measure of angle PQS? Choices: (A) 140 degrees (B) 80 degrees (C) 70 degrees (D) 60 degrees (E) None
70 degrees
0
null
70 degrees
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geos/8.jpg" } ]
<image>Given a circle with two secants as shown at the right. Find the measure of the arc designated by x. Choices: (A) 105 (B) 80 (C) 45 (D) 25 (E) None
25
1
null
25
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geos/11.jpg" } ]
<image>Given the circle at the right with the indicated center. Find the measure of the angle designated by x. Choices: (A) 35 (B) 55 (C) 70 (D) 72.5 (E) None
55
2
null
55
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geos/12.jpg" } ]
<image>Given the circle at the right with diameter AB, find x. Choices: (A) 30 degrees (B) 45 degrees (C) 60 degrees (D) 90 degrees (E) None
90 degrees
3
null
90 degrees
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geos/13.jpg" } ]
<image>Which of the following could be a value of x, in the diagram above? Choices: (A) 10 (B) 20 (C) 40 (D) 50 (E) any of the above
20
4
null
20
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geos/22.jpg" } ]
<image>In circle O, diameter AB is perpendicular to chord CD at E. If CD = 8 and BE = 2, find AE. Choices: (A) 2*sqrt(5) (B) 8 (C) 10 (D) 16 (E) None
8
5
null
8
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geos/25.jpg" } ]
<image>Given the circle at the right with two tangents to the circle from a common external point. Find the measure of the angle designated by x. Choices: (A) 60 (B) 80 (C) 85 (D) 130 (E) None
80
6
null
80
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geos/27.jpg" } ]
<image>In the diagram at the right, lines a and m are parallel and are cut by transversal t. Which two angles are not always congruent? Choices: (A) angle 4 and angle 6 (B) angle 1 and angle 8 (C) angle 4 and angle 5 (D) angle 2 and angle 3 (E) None
angle 4 and angle 6
7
null
angle 4 and angle 6
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geos/28.jpg" } ]
<image>Given tangent AC to the circle shown at the right. Find the measure of the arc designated by x. Choices: (A) 25 (B) 50 (C) 100 (D) 260 (E) None
260
8
null
260
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geos/40.jpg" } ]
<image>In the accompanying diagram of rectangle ABCD, the measure of angle ABE is 30 and the measure of angle CFE is 144. Find the measure of angle BEF. Choices: (A) 36 degrees (B) 60 degrees (C) 84 degrees (D) 90 degrees (E) None
84 degrees
9
null
84 degrees
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geos/42.jpg" } ]
<image>ASB is a quarter circle. PQRS is a rectangle with sides PQ and PS. PQ = 8 and PS = 6. What is the length of the arc AB? Choices: (A) 5*pi (B) 10*pi (C) 25 (D) 14 (E) 28
5*pi
10
null
5*pi
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/37.jpg" } ]
<image>Does Dim Gray have the minimum area under the curve?
No
11
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/48.jpg" } ]
<image>Does Dodger Blue intersect Dark Slate?
Yes
12
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/57.jpg" } ]
<image>Is Khaki greater than Saddle Brown?
No
13
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/66.jpg" } ]
<image>Does Indigo have the minimum area under the curve?
No
14
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/77.jpg" } ]
<image>Does Slate have the minimum area under the curve?
No
15
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/101.jpg" } ]
<image>Does Dark Orchid intersect Light Green?
Yes
16
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/104.jpg" } ]
<image>Is Orchid the low median?
Yes
17
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/105.jpg" } ]
<image>Is Violet Red greater than Firebrick?
No
18
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/107.jpg" } ]
<image>Is Purple the roughest?
Yes
19
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/108.jpg" } ]
<image>Is Teal the smoothest?
No
20
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/113.jpg" } ]
<image>Is Web Maroon the smoothest?
No
21
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/123.jpg" } ]
<image>Does Medium Orchid have the maximum area under the curve?
No
22
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/139.jpg" } ]
<image>Is Indigo greater than Teal?
No
23
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/169.jpg" } ]
<image>Does Yellow have the maximum area under the curve?
No
24
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/179.jpg" } ]
<image>Is Light Green the roughest?
No
25
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/188.jpg" } ]
<image>Is Peru the low median?
Yes
26
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/191.jpg" } ]
<image>Is Light Sky Blue the low median?
Yes
27
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/202.jpg" } ]
<image>Is Midnight Blue the smoothest?
No
28
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/215.jpg" } ]
<image>Is Orchid the high median?
Yes
29
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/220.jpg" } ]
<image>Does Indigo intersect Rebecca Purple?
Yes
30
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/238.jpg" } ]
<image>Does Orchid have the minimum area under the curve?
No
31
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/261.jpg" } ]
<image>Is Midnight Blue the smoothest?
No
32
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/302.jpg" } ]
<image>Is Rosy Brown the smoothest?
No
33
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/313.jpg" } ]
<image>Is Peru the maximum?
Yes
34
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/317.jpg" } ]
<image>Is Steel Blue the smoothest?
No
35
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/355.jpg" } ]
<image>Is Light Gold less than Medium Seafoam?
No
36
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/362.jpg" } ]
<image>Is Web Gray the smoothest?
No
37
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/369.jpg" } ]
<image>Is Light Sky Blue greater than Medium Mint?
No
38
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/380.jpg" } ]
<image>Does Green Yellow have the maximum area under the curve?
No
39
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/398.jpg" } ]
<image>Is Orange the high median?
Yes
40
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/413.jpg" } ]
<image>Is Maroon the low median?
Yes
41
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/426.jpg" } ]
<image>Is Violet Red the smoothest?
No
42
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/435.jpg" } ]
<image>Does Yellow Green intersect Indigo?
Yes
43
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/446.jpg" } ]
<image>Does Brown have the lowest value?
Yes
44
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/458.jpg" } ]
<image>Does Dark Salmon intersect Medium Orchid?
Yes
45
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/488.jpg" } ]
<image>Does Hot Pink have the lowest value?
Yes
46
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/493.jpg" } ]
<image>Does Rosy Brown have the maximum area under the curve?
No
47
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/496.jpg" } ]
<image>Is Violet less than Dark Seafoam?
No
48
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/533.jpg" } ]
<image>Does Midnight Blue have the minimum area under the curve?
No
49
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/534.jpg" } ]
<image>Is Magenta the high median?
Yes
50
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/536.jpg" } ]
<image>Is Gold the high median?
Yes
51
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/538.jpg" } ]
<image>Is Hot Pink the high median?
Yes
52
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/567.jpg" } ]
<image>Does Khaki have the maximum area under the curve?
No
53
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/572.jpg" } ]
<image>Does Steel Blue have the maximum area under the curve?
No
54
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/589.jpg" } ]
<image>Is Coral the low median?
Yes
55
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/601.jpg" } ]
<image>Is Dark Periwinkle the roughest?
No
56
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/606.jpg" } ]
<image>Is Medium Blue less than Periwinkle?
No
57
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/622.jpg" } ]
<image>Does Turquoise have the minimum area under the curve?
No
58
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/642.jpg" } ]
<image>Is Dark Olive less than Magenta?
No
59
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/659.jpg" } ]
<image>Is Royal Blue the smoothest?
No
60
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/670.jpg" } ]
<image>Is Blue the high median?
Yes
61
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/703.jpg" } ]
<image>Is Periwinkle the low median?
Yes
62
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/716.jpg" } ]
<image>Is Green Yellow greater than Bubblegum?
Yes
63
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/719.jpg" } ]
<image>Does Dark Khaki intersect Lime Green?
Yes
64
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/724.jpg" } ]
<image>Is Light Sky Blue the minimum?
No
65
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/735.jpg" } ]
<image>Is Navy Blue the smoothest?
No
66
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/740.jpg" } ]
<image>Is Royal Blue the roughest?
No
67
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/760.jpg" } ]
<image>Does Purple intersect Light Seafoam?
Yes
68
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/766.jpg" } ]
<image>Is Tan the smoothest?
Yes
69
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/785.jpg" } ]
<image>Does Dark Red have the maximum area under the curve?
No
70
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/787.jpg" } ]
<image>Is Periwinkle the low median?
Yes
71
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/800.jpg" } ]
<image>Is Medium Turquoise the low median?
Yes
72
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/812.jpg" } ]
<image>Does Rosy Brown have the minimum area under the curve?
No
73
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/825.jpg" } ]
<image>Is Dark Cyan less than Dark Seafoam?
No
74
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/832.jpg" } ]
<image>Does Gray intersect Dark Orange?
Yes
75
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/833.jpg" } ]
<image>Is Slate the roughest?
No
76
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/851.jpg" } ]
<image>Does Purple have the minimum area under the curve?
No
77
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/854.jpg" } ]
<image>Does Navy Blue have the minimum area under the curve?
No
78
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/861.jpg" } ]
<image>Is Teal the minimum?
No
79
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/868.jpg" } ]
<image>Does Turquoise have the lowest value?
No
80
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/881.jpg" } ]
<image>Is Dark Green the low median?
No
81
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/883.jpg" } ]
<image>Does Dark Magenta have the minimum area under the curve?
No
82
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/894.jpg" } ]
<image>Is Deep Sky Blue the smoothest?
No
83
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/898.jpg" } ]
<image>Does Tomato have the minimum area under the curve?
No
84
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/899.jpg" } ]
<image>Is Forest Green the low median?
Yes
85
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/922.jpg" } ]
<image>Is Rebecca Purple the smoothest?
No
86
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/945.jpg" } ]
<image>Is Bubblegum the low median?
Yes
87
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/975.jpg" } ]
<image>Does Dark Periwinkle have the minimum area under the curve?
No
88
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/997.jpg" } ]
<image>Is Steel Blue the smoothest?
No
89
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/1001.jpg" } ]
<image>Is Dark Red the smoothest?
No
90
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/1017.jpg" } ]
<image>Is Dark Green the high median?
Yes
91
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/1027.jpg" } ]
<image>Is Orange greater than Dark Orange?
No
92
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/1037.jpg" } ]
<image>Is Midnight Blue the roughest?
No
93
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/1043.jpg" } ]
<image>Is Slate the roughest?
No
94
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/1044.jpg" } ]
<image>Is Dark Salmon less than Medium Purple?
Yes
95
null
Yes
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/1046.jpg" } ]
<image>Is Rosy Brown the smoothest?
No
96
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/1064.jpg" } ]
<image>Is Chartreuse the smoothest?
No
97
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/1066.jpg" } ]
<image>Is Dark Orange greater than Medium Orchid?
No
98
null
No
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/1103.jpg" } ]
<image>Does Olive have the minimum area under the curve?
No
99
null
No
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