images images listlengths 1 1 | problem stringlengths 30 291 | answer stringclasses 668 values |
|---|---|---|
<image>Find the angle measure of $\angle 2$.
Choices:
128
138
142
148 | 128 | |
<image>Find the value of $x$ in the diagram
Choices:
5
10
20
40 | 20 | |
<image>$\overline{GJ}$ is a diameter of $\odot K$. Find $m \widehat {GLH}$.
Choices:
119
122
238
244 | 238 | |
<image>Find $x$ in the figure.
Choices:
12
14
16
18 | 16 | |
<image>Find $m\angle G$
Choices:
102
107
112
122 | 107 | |
<image>For the pair of similar figures, find the area of the green figure.
Choices:
7.6
10.1
18
24 | 24 | |
<image>Find the area of the parallelogram.
Choices:
396
560.0
685.9
792 | 396 | |
<image>Chords $\overline{A C}$ and $\overline{D F}$ are equidistant from the center. If the radius of $\odot G$ is 26 find $D E$
Choices:
12
20
24
26 | 24 | |
<image>Find the ratio of the area of $ \triangle ABC$ to the area of square $BCDE$.
Choices:
1 : 3
\frac { \sqrt 3 } { 4 } : 1
\frac { \sqrt 3 } { 2 } : 1
\sqrt { 3 } :1 | \frac { \sqrt 3 } { 4 } : 1 | |
<image>If $M D=7,$ find $R I$
Choices:
7
14
21
28 | 14 | |
<image>Find the measure of $\angle 6$.
Choices:
130
140
142.5
145 | 140 | |
<image>Find $x$ in parallelogram $ABCD$.
Choices:
5
6
7.2
8.1 | 7.2 | |
<image>Find $x$.
Choices:
60
80
125
155 | 80 | |
<image>In the figure, $m∠1 = 123$. Find the measure of $\angle 4$.
Choices:
47
57
67
123 | 57 | |
<image>The triangle is inscribed in $\odot D$. Find the exact circumference of $\odot D$.
Choices:
4 \sqrt { 13 } \pi
4 \sqrt { 15 } \pi
6 \sqrt { 13 } \pi
6 \sqrt { 15 } \pi | 4 \sqrt { 13 } \pi | |
<image>Express the ratio of $\tan C$ as a decimal to the nearest hundredth.
Choices:
0.60
0.75
0.80
1.33 | 0.75 | |
<image>Find $z$.
Choices:
10
10 \sqrt { 3 }
20
10 \sqrt { 5 } | 10 \sqrt { 5 } | |
<image>If $a=4,$ find $b$
Choices:
2 \sqrt { 3 }
6
4 \sqrt { 3 }
8 | 4 \sqrt { 3 } | |
<image>If TP = 4x + 2, QP = 2y – 6, PS = 5y - 12, and PR = 6x - 4, find y so that the quadrilateral is a parallelogram.
Choices:
2
5
12
20 | 2 | |
<image>Find the measure of $\angle 2$ if $m∠4= m∠5$.
Choices:
47
53
63
64 | 53 | |
<image>Find $x$. $A = 104$ ft$^2$.
Choices:
6.3
6.5
7.4
13.0 | 6.3 | |
<image>Find x.
Choices:
10 \sqrt { 2 }
20 \sqrt { 2 }
20 \sqrt { 3 }
40 | 20 \sqrt { 2 } | |
<image>Quadrilateral $RSTU$ is circumscribed about $\odot J$. If the preimeter is $18$ units, find $x$.
Choices:
1
1.5
3
4.5 | 1.5 | |
<image>In rhombus $A B C D, A B=2 x+3$ and $B C=5 x$. Find x.
Choices:
1
2
4
5 | 1 | |
<image>Find $x$.
Choices:
168
170
172
174 | 170 | |
<image>In the figure at the right, $YZ$ is the midsegment of trapezoid $TWRV$. Determine the value of $x$.
Choices:
1.2
8
14.8
16 | 1.2 | |
<image>Find $b$ in the given parallelogram
Choices:
2
8
9
10 | 8 | |
<image>If quadrilateral ABCD is a kite, what is $m \angle C$?
Choices:
15
74
76
89 | 76 | |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
420
480
764.4
797.6 | 480 | |
<image>Find $x$.
Choices:
12
15
18
21 | 18 | |
<image>If PR || KL, KN = 9, LN = 16, PM = 2 KP, find MR
Choices:
12
26 / 2
40 / 3
14 | 40 / 3 | |
<image>Find $YZ$.
Choices:
6
7
8
9 | 8 | |
<image>If $m \widehat{F E}=118, m \widehat{A B}=108$, $m \angle E G B=52,$ and $m \angle E F B=30$
Find $m \widehat{A C}$
Choices:
30
52
108
118 | 30 | |
<image>Find the area of the blue region.
Choices:
8.7
14.0
17.5
24.4 | 17.5 | |
<image>In $\odot R, S U=20, Y W=20,$ and $m \widehat{Y X}=45$.
Find WZ
Choices:
10
20
30
45 | 10 | |
<image>Find the measure of $\angle 6$ if $\overline{A B} \perp \overline{B C}$.
Choices:
21
26
31
36 | 26 | |
<image>Find $m\angle T$
Choices:
58
68
121
123 | 58 | |
<image>Find the area of the quadrilateral.
Choices:
2450
2829.0
3464.8
4900 | 2829.0 | |
<image>In the figure, square $WXYZ$ is inscribed in $\odot R$. Find the measure of a central angle.
Choices:
45
90
180
270 | 90 | |
<image>Find x.
Choices:
7
7 \sqrt { 2 }
14
7 \sqrt { 6 } | 7 \sqrt { 2 } | |
<image>For trapezoid QRTU, V and S are midpoints of the legs. If VS = 9 and UT = 12, find QR.
Choices:
7
17
26
34 | 7 | |
<image>Find x.
Choices:
6
12
18
24 | 6 | |
<image>$Q$ is the centroid and $BE=9$. Find $QE$.
Choices:
3
6
9
12 | 3 | |
<image>Find $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
2
4
6
8 | 6 | |
<image>For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure.
Choices:
\frac { 25 } { 36 }
\frac { 5 } { 6 }
\frac { 6 } { 5 }
\frac { 36 } { 25 } | \frac { 5 } { 6 } | |
<image>In the figure, a regular polygon is inscribed in a circle. Find the measure of a central angle.
Choices:
18
36
72
144 | 72 | |
<image>Find $y$ so that the quadrilateral is a parallelogram.
Choices:
9
13
18
19 | 9 | |
<image>Find x. Round to the nearest tenth, if necessary.
Choices:
2
6
12
15 | 15 | |
<image>If $\overline{RQ} \cong \overline{RS}$ and $ m ∠RQS = 75 $, find $ m ∠R $.
Choices:
30
40
52.5
75 | 30 | |
<image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
85.5
449.0
534.5
808.2 | 449.0 | |
<image>The diameters of $\odot A, \odot B,$ and $\odot C$ are 10, 30 and 10 units, respectively. Find BY if $\overline{A Z} \cong \overline{C W}$ and $C W=2$.
Choices:
6
12
48
60 | 12 | |
<image>If $CE=t-2$. $EB=t+1$, $CD=2$, and $CA=10$, find $t$.
Choices:
1
2
3
4 | 3 | |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
210
230
310
460 | 310 | |
<image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.
Choices:
21
24
36
54 | 36 | |
<image>Find $x$.
Choices:
72
82
84
143 | 72 | |
<image>In the figure, $ \triangle ABC$ is isosceles, $ \triangle DCE$ is equilateral, and $ \triangle FCG$ is isosceles. Find the measures of the $\angle 5$ at vertex $C$.
Choices:
15
16
17
18 | 18 | |
<image>Find x
Choices:
34
49
60
128 | 60 | |
<image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
14
15
16
17 | 16 | |
<image>In the figure, $m∠3 = 43$. Find the measure of $\angle 16$.
Choices:
117
127
137
147 | 137 | |
<image>Find the angle measure of $\angle4$.
Choices:
38
42
52
62 | 52 | |
<image>Express the ratio of $\sin A$ as a decimal to the nearest hundredth.
Choices:
0.38
0.42
0.92
2.40 | 0.38 | |
<image>Find x.
Choices:
5
2 \sqrt { 10 }
7
\sqrt { 202 } | 2 \sqrt { 10 } | |
<image>Find $RS$.
Choices:
4
6
8
10 | 8 | |
<image>Find $m \angle X$
Choices:
14
56
70
117 | 117 | |
<image>Find $m \angle M$.
Choices:
20
30
60
120 | 30 | |
<image>Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 5$
Choices:
30
40
50
80 | 80 | |
<image>Quadrilateral $WXYZ$ is inscribed in $\odot V$. Find $m \angle Y$.
Choices:
60
85
95
120 | 85 | |
<image>Find the measure of $∠R$ to the nearest tenth.
Choices:
32.5
39.6
50.4
57.5 | 39.6 | |
<image>Find $MP$.
Choices:
6
8
10
12 | 8 | |
<image>Find the area of the regular polygon. Round to the nearest tenth.
Choices:
73.0
292.1
584.2
1168.5 | 584.2 | |
<image>Find the area of the shaded region. Assume that the polygon is regular unless otherwise stated. Round to the nearest tenth.
Choices:
139.1
516.2
721.1
762.7 | 139.1 | |
<image>Find $x$.
Choices:
\frac { 4 } { 3 }
\frac { 13 } { 3 }
6
\frac { 26 } { 3 } | \frac { 26 } { 3 } | |
<image>Find z
Choices:
2 \sqrt { 3 }
4
4 \sqrt { 3 }
12 | 4 \sqrt { 3 } | |
<image>In $\odot R$, If $SU=16.2$, what is $RT$?
Choices:
8.1
16.2
24.3
32.4 | 8.1 | |
<image>Use parallelogram JKLM to find m \angle JKL if $J K=2 b+3$ and $J M=3 a$.
Choices:
30
70
80
100 | 80 | |
<image>JKLM is a rhombus. If $CK = 8$ and $JK = 10$, Find $JC$.
Choices:
4
6
8
10 | 6 | |
<image>In $\odot B$, the diameter is 20 units long, and $m \angle A C E=45$ Find $x$
Choices:
\sqrt { 2 }
2
4
5 \sqrt { 2 } | \sqrt { 2 } | |
<image>Let $\overline{J K}$ be the median of $A B T Q .$ Find $J K$
Choices:
43
54
78
86 | 78 | |
<image>Find x.
Choices:
4
4 \sqrt { 2 }
4 \sqrt { 3 }
8 | 4 \sqrt { 2 } | |
<image>Find the measure of $\angle 3$ if $m∠DGF = 53$ and $m∠AGC = 40$.
Choices:
40
47
50
53 | 50 | |
<image>Find $y$.
Choices:
7
8
12
17 | 17 | |
<image>Use parallelogram to find $y$
Choices:
5
10
15
20 | 5 | |
<image>Find $m\angle C$
Choices:
30
60
90
120 | 120 | |
<image>In the figure, $m ∠9 = 75$. Find the measure of $\angle 5$.
Choices:
75
85
95
105 | 75 | |
<image>$a=8, b=15,$ and $c=17$, find $sinA$
Choices:
0.30
0.47
0.53
0.70 | 0.47 | |
<image>In $\odot A, m \angle E A D=42$. Find $m \widehat{C D}$
Choices:
138
142
240
360 | 138 | |
<image>Find $x$.
Choices:
2.7
5.4
6
9 | 5.4 | |
<image>Find x. Round side measures to the nearest tenth.
Choices:
4.1
4.8
5.3
6.1 | 4.1 | |
<image>Find $KL$.
Choices:
7
11
12
14 | 14 | |
<image>Find $x$ so that each quadrilateral is a parallelogram.
Choices:
12
24
60
72 | 12 | |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
17.6
19.2
22.7
29.2 | 22.7 | |
<image>Find x
Choices:
41.8
42.9
67.1
76.4 | 41.8 | |
<image>Refer to the figure at the right. Find the value of $m ∠BCE$ if $ p \parallel q $.
Choices:
75
80
85
605 | 75 | |
<image>If $x=7 \sqrt{3},$ find $a$
Choices:
7
12 \sqrt { 3 }
14 \sqrt { 3 }
16 \sqrt { 3 } | 14 \sqrt { 3 } | |
<image>Use the Pythagorean Theorem to find the length of the hypotenuse of each right triangle.
Choices:
3
4
5
\sqrt { 34 } | \sqrt { 34 } | |
<image>Find x.
Choices:
8 \sqrt { 2 }
8 \sqrt { 3 }
16
24 | 24 | |
<image>Find x.
Choices:
3 \sqrt { 21 }
3 \sqrt { 29 }
17
21 | 3 \sqrt { 29 } | |
<image>In rectangle JKLM shown below, $\overline{J L}$ and $M K$ are diagonals. If $J L=2 x+5$ and $K M=4 x-11$, what is $ x $ ?
Choices:
5
6
8
10 | 8 | |
<image>Find $m\angle F$
Choices:
102
107
112
122 | 122 | |
<image>Find $m\angle Y$
Choices:
34
68
70
136 | 68 |
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