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|---|---|---|---|---|
<image>The two shapes are similar. Determine x.
Choices:
(A) 13.5
(B) 18
(C) 45
(D) 200
|
a
|
geometry3k
|
data/llavaone/identity_308738.jpg
| |
<image>How many degrees are there in each interior angle of the regular octagon shown in the image?
|
135
|
geometry3k
|
data/llavaone/identity_91475.jpg
| |
<image>Solve for x.
Choices:
(A) 10
(B) 15
(C) 25
(D) 30
|
b
|
geometry3k
|
data/llavaone/identity_4935.jpg
| |
<image>What is the length of side AD in triangle ABC?
|
8
|
geometry3k
|
data/llavaone/identity_82048.jpg
| |
<image>What is the measure of the angle formed at the center of the circle by the two radii?
|
70
|
geometry3k
|
data/llavaone/identity_160058.jpg
| |
<image>Find the measure of angle 1
|
40°
|
geometry3k
|
data/llavaone/identity_232678.jpg
| |
<image>If DE = 60 and FC = 16, find the measure of angle DFC
|
90
|
geometry3k
|
data/llavaone/identity_81736.jpg
| |
<image>What is the area of the circle?
|
50π
|
geometry3k
|
data/llavaone/identity_163822.jpg
| |
<image>Determine the value of x for m \parallel n.
Options:
(A) 10
(B) 11
(C) 12
(D) 13
|
d
|
geometry3k
|
data/llavaone/identity_290040.jpg
| |
<image>If the area of triangle EDF is 36 square units, what is the area of triangle ETQ?
|
12
|
geometry3k
|
data/llavaone/identity_84709.jpg
| |
<image>Determine the measure of angle F.
Choices:
(A) 102
(B) 107
(C) 112
(D) 122
|
d
|
geometry3k
|
data/llavaone/identity_303466.jpg
| |
<image>Find m \angle v.
Choices:
(A) 12
(B) 52
(C) 68
(D) 76
|
d
|
geometry3k
|
data/llavaone/identity_1579.jpg
| |
<image>If the green figure's width is increased by 2 cm, what will be the new area?
|
35
|
geometry3k
|
data/llavaone/identity_159567.jpg
| |
<image>Determine the value of x. A = 92 in^2.
Options:
(A) 4.2
(B) 6.3
(C) 8.4
(D) 10.5
|
c
|
geometry3k
|
data/llavaone/identity_325764.jpg
| |
<image>What is the measure of angle SPR?
|
45°
|
geometry3k
|
data/llavaone/identity_86157.jpg
| |
<image>What is the length of segment DC?
|
10
|
geometry3k
|
data/llavaone/identity_81426.jpg
| |
<image>What is the measure of angle EOF in the circle O?
|
90
|
geometry3k
|
data/llavaone/identity_164252.jpg
| |
<image>What is the value of y so that the opposite angles of the quadrilateral are congruent?
|
2.5
|
geometry3k
|
data/llavaone/identity_87614.jpg
| |
<image>For the pair of similar shapes, use the given areas to determine x.
Choices:
(A) 6.0
(B) 10.4
(C) 31.2
(D) 54.0
|
b
|
geometry3k
|
data/llavaone/identity_333410.jpg
| |
<image>What is the value of x in the diagram?
|
47.5
|
geometry3k
|
data/llavaone/identity_84861.jpg
| |
<image>In \odot F, F H \cong F L and F K = 17. Find K M.
Choices:
(A) 8
(B) 15
(C) 17
(D) 30
|
d
|
geometry3k
|
data/llavaone/identity_669.jpg
| |
<image>In \odot D, D E \cong E C, m \widehat C F = 60, and D E \perp E C. Determine m \widehat A F.
Choices:
(A) 30
(B) 60
(C) 90
(D) 120
|
d
|
geometry3k
|
data/llavaone/identity_317105.jpg
| |
<image>Find m \angle 5.
Choices:
(A) 95
(B) 100
(C) 110
(D) 115
|
c
|
geometry3k
|
data/llavaone/identity_7685.jpg
| |
<image>In rhombus XYZW, if m∠WYZ = 53° and VW = 3, find the measure of angle VYZ
|
63.5°
|
geometry3k
|
data/llavaone/identity_81747.jpg
| |
<image>Find the area of triangle QMP using the given side lengths and the angle x. Round to the nearest integer
|
7
|
geometry3k
|
data/llavaone/identity_245346.jpg
| |
<image>What is the sum of the measures of angles 2, 3, and 4?
|
140
|
geometry3k
|
data/llavaone/identity_165107.jpg
| |
<image>What is the measure of angle 2?
|
129
|
geometry3k
|
data/llavaone/identity_90918.jpg
| |
<image>Find W T, if Z X = 20 and T Y = 15.
Choices:
(A) 5
(B) 15
(C) 20
(D) 35
|
a
|
geometry3k
|
data/llavaone/identity_29341.jpg
| |
<image>What is the measure of angle 1?
|
60°
|
geometry3k
|
data/llavaone/identity_90954.jpg
| |
<image>Find the measure of angle GHF
|
156
|
geometry3k
|
data/llavaone/identity_79575.jpg
| |
<image>If the angle measuring (2x - 15)° is an obtuse angle, what is the minimum value of x?
|
52.5
|
geometry3k
|
data/llavaone/identity_79985.jpg
| |
<image>If \( x = 7 \sqrt{3} \), determine a.
Choices:
(A) 7
(B) 12 \sqrt{3}
(C) 14 \sqrt{3}
(D) 16 \sqrt{3}
|
c
|
geometry3k
|
data/llavaone/identity_316224.jpg
| |
<image>What is the length of the shorter side of the quadrilateral if y=8?
|
60
|
geometry3k
|
data/llavaone/identity_78909.jpg
| |
<image>If the angle marked x is bisected, what is the measure of each resulting angle?
|
67.5
|
geometry3k
|
data/llavaone/identity_82564.jpg
| |
<image>What is the value of z in the figure?
|
8
|
geometry3k
|
data/llavaone/identity_82715.jpg
| |
<image>Given that \( m \angle 11 = 4x \) and \( m \angle 12 = 2x - 6 \), determine the measure of \(\angle 11\).
Choices:
(A) 116
(B) 118
(C) 120
(D) 124
|
d
|
geometry3k
|
data/llavaone/identity_311749.jpg
| |
<image>Given that AT = 16 and RM = 4, what is the length of segment AS?
|
12
|
geometry3k
|
data/llavaone/identity_85128.jpg
| |
<image>Find the measure of angle 6
|
78
|
geometry3k
|
data/llavaone/identity_159783.jpg
| |
<image>Determine the value of x and round the side measurement to the nearest tenth.
Options:
(A) 12.7
(B) 15.2
(C) 28.9
(D) 34.8
|
d
|
geometry3k
|
data/llavaone/identity_279352.jpg
| |
<image>In circle R, if SU = 20 and m∠YXZ = 45°, what is the length of YZ?
|
10
|
geometry3k
|
data/llavaone/identity_89033.jpg
| |
<image>What is the length of side MN in the parallelogram M N P R?
|
20
|
geometry3k
|
data/llavaone/identity_88030.jpg
| |
<image>If a line is drawn from the center of the circle to the midpoint of the arc between the angles measuring 125° and 155°, what is the measure of the angle formed at the center of the circle?
|
140°
|
geometry3k
|
data/llavaone/identity_165355.jpg
| |
<image>What is the value of A E?
Options:
(A) 3
(B) 4
(C) 6
(D) 11
|
b
|
geometry3k
|
data/llavaone/identity_269648.jpg
| |
<image>Find the measure of angle YWZ
|
37°
|
geometry3k
|
data/llavaone/identity_258821.jpg
| |
<image>If line m is parallel to line l and the measure of angle 1 is 73 degrees, which statement cannot be true based on the given conditions?
Choices:
(A) \angle 1 \cong \angle 4
(B) \angle 3 \cong \angle 1
(C) m \angle 2 + m \angle 3 = 180
(D) m \angle 4 > 73
|
a
|
geometry3k
|
data/llavaone/identity_293588.jpg
| |
<image>Determine the area of this shape. Round to the nearest tenth.
Choices:
(A) 18.8
(B) 37.7
(C) 113.1
(D) 452.4
|
c
|
geometry3k
|
data/llavaone/identity_302612.jpg
| |
<image>What is the area of the triangle?
|
2√2
|
geometry3k
|
data/llavaone/identity_82301.jpg
| |
<image>If points S, T, and U are the midpoints of DE, EF, and DF respectively, and the length of segment DF is given as 5.8, find the value of x
|
5.4
|
geometry3k
|
data/llavaone/identity_91385.jpg
| |
<image>In the figure, if m \angle 1 = 53 and m \angle 5 = 127, find the measure of \angle 10
|
53
|
geometry3k
|
data/llavaone/identity_90077.jpg
| |
<image>In the figure, the vertices of quadrilateral A B C D intersect square E F G H and divide its sides into segments with measure that have a ratio of 1:2. Find the ratio between the areas of A B C D and E F G H.
Choices:
(A) 1:4
(B) 1:2
(C) 5:9
(D) 1: \sqrt 2
|
c
|
geometry3k
|
data/llavaone/identity_35807.jpg
| |
<image>Given that the two polygons are similar, find the value of \( y \)
|
20.5
|
geometry3k
|
data/llavaone/identity_231649.jpg
| |
<image>m \angle 11 = 4 x, m \angle 12 = 2 x - 6. Find the measure of \angle 12.
Choices:
(A) 50
(B) 52
(C) 56
(D) 62
|
c
|
geometry3k
|
data/llavaone/identity_8255.jpg
| |
<image>If DE is congruent to EC and m∠CFE is 60 degrees, what is the measure of angle DFE?
|
60
|
geometry3k
|
data/llavaone/identity_90579.jpg
| |
<image>What is the length of segment LM?
|
2x
|
geometry3k
|
data/llavaone/identity_89779.jpg
| |
<image>In the figure, m \angle 1 = 58, m \angle 2 = 47, and m \angle 3 = 26. Find the measure of \angle 7.
Choices:
(A) 47
(B) 49
(C) 58
(D) 73
|
c
|
geometry3k
|
data/llavaone/identity_3087.jpg
| |
<image>What is the length of the altitude from vertex A to side BC in triangle ABC?
|
15
|
geometry3k
|
data/llavaone/identity_79022.jpg
| |
<image>If W P is a median and an angle bisector, A P = 3 y + 11, P H = 7 y - 5, m \angle H W P = x + 12, m \angle P A W = 3 x - 2, and m \angle H W A = 4 x - 16, find x.
Choices:
(A) 20
(B) 24
(C) 28
(D) 32
|
a
|
geometry3k
|
data/llavaone/identity_30208.jpg
| |
<image>Given that triangle ABC is congruent to triangle FGH, find the length of side BC
|
29
|
geometry3k
|
data/llavaone/identity_90451.jpg
| |
<image>G R I D I N In the figure, the radius of circle A is twice the radius of circle B and four times the radius of circle C. If the sum of the circumferences of the three circles is 42 \pi, find the measure of A C.
Choices:
(A) 16
(B) 18
(C) 27
(D) 42
|
c
|
geometry3k
|
data/llavaone/identity_38682.jpg
| |
<image>Find S T.
Choices:
(A) 32 / 2
(B) \frac { 50 } { 3 }
(C) 17
(D) 18
|
b
|
geometry3k
|
data/llavaone/identity_12381.jpg
| |
<image>Given that the two triangles are similar, find the perimeter of triangle EFG
|
34.275
|
geometry3k
|
data/llavaone/identity_228333.jpg
| |
<image>What is the measure of angle JPH?
|
57
|
geometry3k
|
data/llavaone/identity_79014.jpg
| |
<image>What is the measure of \angle BFA?
|
127
|
geometry3k
|
data/llavaone/identity_90875.jpg
| |
<image>In parallelogram MNPQ, if m∠M = 10x and m∠N = 20x, what is the sum of the measures of ∠M and ∠N?
|
180
|
geometry3k
|
data/llavaone/identity_161770.jpg
| |
<image>Determine the measure of angle E.
Choices:
(A) 38
(B) 76
(C) 79
(D) 158
|
d
|
geometry3k
|
data/llavaone/identity_315980.jpg
| |
<image>What is the measure of angle H in the given pentagon EFGHJ?
|
97
|
geometry3k
|
data/llavaone/identity_89308.jpg
| |
<image>Given that a = 8, b = 15, and c = 17 in the right triangle ABC, find the ratio of the perimeter of triangle ABC to the sum of its sides
|
1
|
geometry3k
|
data/llavaone/identity_82955.jpg
| |
<image>Determine the measure of angle 3.
Choices:
(A) 26
(B) 39
(C) 55
(D) 62
|
a
|
geometry3k
|
data/llavaone/identity_310815.jpg
| |
<image>If the base of the larger triangle is 20 units, what is the base of the smaller triangle?
|
8
|
geometry3k
|
data/llavaone/identity_91021.jpg
| |
<image>Given that \( PR \parallel WX \), \( WX = 10 \), \( XY = 6 \), \( WY = 8 \), \( RY = 5 \), and \( PS = 3 \), determine \( SY \).
Choices:
(A) 3
(B) 4
(C) 6
(D) 6.5
|
b
|
geometry3k
|
data/llavaone/identity_310928.jpg
| |
<image>What is the value of x if AC is equal to x - 3, BE is 20, AB is 16, and CD is x + 5?
Choices:
(A) 21
(B) 35
(C) 36
(D) 46
|
b
|
geometry3k
|
data/llavaone/identity_272824.jpg
| |
<image>What is the length of the other pair of opposite sides in the parallelogram?
|
13
|
geometry3k
|
data/llavaone/identity_87080.jpg
| |
<image>What is the length of segment DT if DE = 7 and EX = 24?
|
17
|
geometry3k
|
data/llavaone/identity_80548.jpg
| |
<image>What is the area of the circle if r = 6?
|
36π
|
geometry3k
|
data/llavaone/identity_80742.jpg
| |
<image>Determine the measure of angle K.
Options:
(A) 97
(B) 112
(C) 166
(D) 194
|
a
|
geometry3k
|
data/llavaone/identity_285253.jpg
| |
<image>Find the area of parallelogram ABCD
|
135
|
geometry3k
|
data/llavaone/identity_239527.jpg
| |
<image>Given that points S, T, and U are the midpoints of line segments DE, EF, and DF, respectively, what is the value of z?
Choices:
(A) 0.383
(B) 0.575
(C) 1.15
(D) 2.875
|
b
|
geometry3k
|
data/llavaone/identity_279509.jpg
| |
<image>Determine the value of y.
Options:
(A) 9
(B) 11
(C) 12
(D) 20
|
b
|
geometry3k
|
data/llavaone/identity_274571.jpg
| |
<image>Determine the length of segment E.
Choices:
(A) 3
(B) 4
(C) 6
(D) 11
|
b
|
geometry3k
|
data/llavaone/identity_308362.jpg
| |
<image>If A B C D E \sim P Q R S T, find the perimeter of A B C D E.
Choices:
(A) 22.5
(B) 27.5
(C) 30
(D) 35
|
c
|
geometry3k
|
data/llavaone/identity_25114.jpg
| |
<image>What is the ratio of the area of the smaller triangle to the area of the larger triangle?
|
√2
|
geometry3k
|
data/llavaone/identity_80824.jpg
| |
<image>If C D F G is a kite, find m \angle D.
Choices:
(A) 18
(B) 49
(C) 67
(D) 122
|
d
|
geometry3k
|
data/llavaone/identity_32521.jpg
| |
<image>Determine the value of y in the parallelogram.
Options:
(A) 8
(B) 15
(C) 16
(D) 32
|
a
|
geometry3k
|
data/llavaone/identity_270920.jpg
| |
<image>Given that P is the incenter of \(\triangle XYZ\), find the perimeter of \(\triangle XYZ\)
|
12.72
|
geometry3k
|
data/llavaone/identity_232296.jpg
| |
<image>Find the measure of angle 16
|
55
|
geometry3k
|
data/llavaone/identity_81621.jpg
| |
<image>What is the measure of angle RTS in the given circle?
|
46.5
|
geometry3k
|
data/llavaone/identity_91399.jpg
| |
<image>If the length of segment QV is 8, what is the length of segment QU?
|
16
|
geometry3k
|
data/llavaone/identity_87114.jpg
| |
<image>What is the length of the dashed line segment in the parallelogram?
|
10√2
|
geometry3k
|
data/llavaone/identity_87077.jpg
| |
<image>Determine the value of x.
Choices:
(A) 39.8
(B) 42.5
(C) 67.8
(D) 68.9
|
a
|
geometry3k
|
data/llavaone/identity_301556.jpg
| |
<image>What is the measure of angle APB?
|
30.75
|
geometry3k
|
data/llavaone/identity_83482.jpg
| |
<image>In \odot R. If S U = 16.2, what is this?
Choices:
(A) 8.1
(B) 16.2
(C) 24.3
(D) 32.4
|
a
|
geometry3k
|
data/llavaone/identity_338165.jpg
| |
<image>If m \angle 1 = 3 x + 40 and m \angle 3 = 2 x + 70, find x
|
30
|
geometry3k
|
data/llavaone/identity_86503.jpg
| |
<image>What is the measure of angle JLK?
|
110
|
geometry3k
|
data/llavaone/identity_161775.jpg
| |
<image>Determine the value of x.
Choices:
(A) 4
(B) 6
(C) 8
(D) 12
|
a
|
geometry3k
|
data/llavaone/identity_306833.jpg
| |
<image>What is the length of segment ZA?
|
4
|
geometry3k
|
data/llavaone/identity_91434.jpg
| |
<image>What is the measure of angle 3?
|
60
|
geometry3k
|
data/llavaone/identity_79364.jpg
| |
<image>Determine the measurement of angle 1.
Options:
(A) 56
(B) 66
(C) 76
(D) 86
|
a
|
geometry3k
|
data/llavaone/identity_298533.jpg
| |
<image>If the angle (4x - 5)° is 95°, what is the value of x?
|
25
|
geometry3k
|
data/llavaone/identity_80790.jpg
| |
<image>Find m \widehat T U.
Choices:
(A) 11.5
(B) 23
(C) 46
(D) 67
|
c
|
geometry3k
|
data/llavaone/identity_20483.jpg
| |
<image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
(A) 7
(B) 12
(C) \sqrt { 193 }
(D) 14
|
c
|
geometry3k
|
data/llavaone/identity_5881.jpg
|
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