images images listlengths 1 1 | problem stringlengths 30 291 | answer stringlengths 1 34 |
|---|---|---|
<image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 5$.
Choices:
54
56
64
66 | 64 | |
<image>In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 8$.
Choices:
101
111
121
131 | 131 | |
<image>Find y.
Choices:
\sqrt { 285 }
\sqrt { 510 }
2 \sqrt { 285 }
2 \sqrt { 510 } | \sqrt { 510 } | |
<image>Find the value of the variable $x$ in the figure.
Choices:
86
94
96
114 | 114 | |
<image>$P$ is the centroid of triangle $QUS$. If $QP=14$ centimeters, what is the length of $\overline{QT}$?
Choices:
7
12
18
21 | 21 | |
<image>Find the area of the kite.
Choices:
137.5
255
265
550 | 137.5 | |
<image>Find sinA
Choices:
\sqrt { 26 } / 26
\sqrt { 26 } / 22
\sqrt { 26 } / 5
\sqrt { 26 } / 3 | \sqrt { 26 } / 26 | |
<image>Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 1$
Choices:
40
50
90
130 | 50 | |
<image>Find EC
Choices:
4.8
5.2
11
12 | 4.8 | |
<image>Find x in the figure.
Choices:
21
26
31
36 | 31 | |
<image>Find $y$.
Choices:
36
48
66
72 | 72 | |
<image>Find x. Assume that any segment that appears to be tangent is tangent.
Choices:
5
10
20
150 | 5 | |
<image>In the figure, $m ∠1 = 53$. Find the measure of $∠4$.
Choices:
113
117
123
127 | 127 | |
<image>If $\triangle SRY \sim \triangle WXQ, \overline{RT} $ is an altitude of $\triangle SRY$, $\overline{XV}$ is an altitude of $\triangle WXQ, RT=5, RQ=4, QY=6$, and $Y X=2,$ find $XV$.
Choices:
2
4
5
6 | 4 | |
<image>Use rectangle LMNP, parallelogram LKMJ to solve the problem.
If $m \angle M J N=35,$ find $m \angle M P N$
Choices:
17.5
30
35
70 | 17.5 | |
<image>Each pair of polygons is similar. Find y
Choices:
48.45
49
88
110 | 48.45 | |
<image>Find the area of the figure.
Choices:
938.4
1291.9
1523.4
1876.9 | 938.4 | |
<image>In the figure, $\overline{A B} \parallel \overline{C E} .$ If $D A=6,$ what is $D B ?$
Choices:
6
7
8
9 | 6 | |
<image>In the figure, $ \triangle ABC$ is isosceles, $ \triangle DCE$ is equilateral, and $ \triangle FCG$ is isosceles. Find the measure of the $\angle 2$ at vertex $C$.
Choices:
14
16
17
18 | 17 | |
<image>If $\overline{QR} \| \overline{XY}, XQ=15, QZ=12$, and $YR=20$, what is the length of $\overline{RZ}$.
Choices:
15
16
18
24 | 16 | |
<image>Find $z$ in the figure.
Choices:
22
24
26
28 | 22 | |
<image>Find $m∠MRQ$ so that $a || b$.
Choices:
13.8
14
42
77 | 77 | |
<image>If $QR=2$, $XW=12$, $QW=15$, and $ST=5$, find $WV$.
Choices:
5
7.5
8
12 | 7.5 | |
<image>Find $x$.
Choices:
13.5
19
23.5
47 | 19 | |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
24.5
49
155.5
180 | 155.5 | |
<image>Points $S$, $T$, and $U$ are the midpoints of $\overline{DE}$, $\overline{EF}$, and $\overline{DF}$, respectively. Find $y$.
Choices:
2.9
4.0
4.6
5.8 | 5.8 | |
<image>If $\overline{W P}$ is a perpendicular bisector, $m \angle WHA=8 q+17$, $m \angle HWP=10+q$, $AP=6 r+4$, and $PH=22+3 r$, find $q$.
Choices:
5
6
7
8 | 7 | |
<image>Find the area of the quadrilateral.
Choices:
130
230
260
520 | 260 | |
<image>Circle $W$ has a radius of 4 units, $\odot Z$ has a radius of 7 units, and $X Y=2 .$ Find $Y Z$
Choices:
5
10
15
20 | 5 | |
<image>Quadrilateral JKLM is a rectangle. If $m\angle KJL = 2x + 4$ and $m\angle JLK = 7x + 5$, find $x$.
Choices:
9
22
45
68 | 9 | |
<image>$\overline{JH}, \overline{JP},$ and $\overline{PH}$ are midsegments of $\triangle KLM$. Find $x$.
Choices:
44
56
60
76 | 60 | |
<image>Point $S$ is the incenter of $\triangle JPL$. Find $m \angle SJP$.
Choices:
24.5
37.5
56
75 | 37.5 | |
<image>Find the area of the figure.
Choices:
24
28
56
112 | 56 | |
<image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
50
75
80
110 | 50 | |
<image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
61.7
71.2
90
118.3 | 61.7 | |
<image>Use parallelogram ABCD to find $y $
Choices:
11
34
49
54 | 11 | |
<image>Find $m \angle 6$.
Choices:
30
40
45
65 | 45 | |
<image>In rhombus LMPQ, $m \angle Q L M=2 x^{2}-10$, $m \angle Q P M=8 x$, and $M P=10$ .
Find QL
Choices:
10
20
30
45 | 10 | |
<image>Find x.
Choices:
35
50
100
120 | 35 | |
<image>Find $x$ in the figure.
Choices:
13.5
15
90
180 | 90 | |
<image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.
Choices:
1.2
4.1
5.4
7.1 | 4.1 | |
<image>$\overrightarrow{BA}$ and $\overrightarrow{BC}$ are opposite rays and $\overrightarrow{BD}$ bisects $\angle ABF$. If $m \angle ABF=3x-8$ and $m \angle ABD=x+14$, find $m \angle ABD$.
Choices:
14
36
50
54 | 50 | |
<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
7
13
17.1
21 | 17.1 | |
<image>Use a Pythagorean Triple to find x.
Choices:
26
28
30
32 | 30 | |
<image>Find $y$.
Choices:
8
11.3
13.9
16 | 16 | |
<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.
Choices:
2
4
5
10 | 10 | |
<image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
8
15
16
17 | 15 | |
<image>Find $y$ so that the quadrilateral is a parallelogram
Choices:
1
9
17
29 | 9 | |
<image>$m \angle 2=2 x, m \angle 3=x$ Find $m\angle 1$
Choices:
30
39
78
114 | 30 | |
<image>Given $a ∥ b$, find $m∠1$.
Choices:
47
54
79
101 | 79 | |
<image>Find $h$.
Choices:
4
4 \sqrt 2
4 \sqrt 3
8 | 4 \sqrt 2 | |
<image>Find $m \angle 3$.
Choices:
15
35
55
75 | 55 | |
<image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
3.9
5.2
7.9
20.4 | 7.9 | |
<image>Refer to trapezoid $CDFG$ with median $\overline{HE}$. Let $\overline{YZ}$ be the median of $HEFG$. Find $YZ$.
Choices:
34
38
42
46 | 34 | |
<image>Find the area of the figure in feet. Round to the nearest tenth, if necessary.
Choices:
24.6
25.5
31.2
36 | 31.2 | |
<image>Find x.
Choices:
3 \sqrt { 3 }
9
9 \sqrt { 2 }
9 \sqrt { 3 } | 9 \sqrt { 3 } | |
<image>Quadrilateral EFGH is a rectangle. Find $m\angle HEF + m\angle EFG$.
Choices:
33
57
70
180 | 180 | |
<image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.
Choices:
192.7
271.2
371.2
428.3 | 271.2 | |
<image>Find the perimeter of $▱ ABCD$.
Choices:
20
24
28
32 | 28 | |
<image>Find the area of the trapezoid.
Choices:
125
250
500
1000 | 500 | |
<image>Find x.
Choices:
3
4
5
6 | 3 | |
<image>Find $x$ so that the quadrilateral is a parallelogram.
Choices:
28
30
90
112 | 30 | |
<image>For trapezoid QRTU, V and S are midpoints of the legs. If QR = 2 and VS = 7, find UT.
Choices:
10
11
12
22 | 12 | |
<image>If $\overline{PR} \| \overline{WX}, WX=10, XY=6, WY=8, RY=5,$ and $PS=3,$ find $SY$.
Choices:
3
4
5
6 | 4 | |
<image>Find $m\angle 2$.
Choices:
12
61
151
163 | 151 | |
<image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
4
6
8
19 | 8 | |
<image>In $\odot A, m \angle E A D=42$. Find $m \widehat{B C}$
Choices:
42
48
52
108 | 42 | |
<image>Find $DF$.
Choices:
5
10
15
20 | 5 | |
<image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.
Choices:
18.5
46.8
52.7
65.3 | 18.5 | |
<image>Find $x$. $A = 78$ cm$^2$.
Choices:
6
8.0
11.5
12.1 | 8.0 | |
<image>In $\odot R, S U=20, Y W=20,$ and $m \widehat{Y X}=45$.
Find $m\widehat{Y W}$
Choices:
20
30
45
90 | 90 | |
<image>If $\frac{I J}{X J}=\frac{HJ}{YJ}, m \angle W X J=130$
and $m \angle WZG=20,$ find $m \angle JHI$
Choices:
65
70
80
85 | 70 | |
<image>What is the measure of $\angle GHI$?
Choices:
40
70
100
110 | 110 | |
<image>In $\odot D, \overline{D E} \cong \overline{E C}, m \overline{C F}=60,$ and
$\overline{D E} \perp \overline{E C} .$ Find $m \angle 4$
Choices:
30
45
60
90 | 45 | |
<image>Find $m \angle 5$.
Choices:
35
39
55
62 | 55 | |
<image>Find $x$.
Choices:
42
56
70
84 | 70 | |
<image>Find x. Round side measures to the nearest tenth.
Choices:
5.4
7.7
8.3
11.9 | 7.7 | |
<image>For the pair of similar figures, use the given areas to find $x$.
Choices:
8.3
10.0
14.4
17.3 | 10.0 | |
<image>Find $m \angle A$.
Choices:
17
20
33
47 | 20 | |
<image>Find $x$.
Choices:
95
105
115
125 | 115 | |
<image>In the figure at the right, what is the value of $p$ in terms of $m$ and $n$?
Choices:
360 - (m - n)
m + n + 180
m + n - 180
m - n + 360 | m + n - 180 | |
<image>$\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {GCF}$.
Choices:
35
295
305
325 | 325 | |
<image>In the figure, $m ∠1 = 53$. Find the measure of $∠2$.
Choices:
97
107
117
127 | 127 | |
<image>Find the perimeter of $\triangle A B C$
Choices:
20
24
30
32 | 30 | |
<image>In the figure, $ m ∠1 = 3a + 40 $, $ m ∠2 = 2a + 25 $, and $ m ∠3 = 5b - 26 $. Find $b$.
Choices:
21
23
25
27 | 27 | |
<image>Find $x$ so that $m || n$.
Choices:
18
36
38
72 | 36 | |
<image>Find x.
Choices:
12
15
18
21 | 21 | |
<image>Find $SP$.
Choices:
5
6
7
17 | 17 | |
<image>For the pair of similar figures, use the given areas to find $x$.
Choices:
3.7
4.3
5.8
6.7 | 4.3 | |
<image>In $\odot J$, $GH=9$ and $KL=4x+1$. Find $x$.
Choices:
2
3
5
9 | 2 | |
<image>$RP=3.5$ and $JP=9$. Find $PS$.
Choices:
3.5
4.5
7
9 | 4.5 | |
<image>If $MNPQ \sim XYZW,$ find the perimeter of $MNPQ$.
Choices:
17
18
20
34 | 34 | |
<image>Find $x$.
Choices:
8
12
15
16 | 12 | |
<image>The segment is tangent to the circle. Find $x$.
Choices:
5 \sqrt { 5 }
5 \sqrt { 10 }
10 \sqrt { 5 }
10 \sqrt { 10 } | 5 \sqrt { 10 } | |
<image>If $a=10 \sqrt{3},$ find $y$
Choices:
10
15
10 \sqrt { 3 }
15 \sqrt { 3 } | 15 \sqrt { 3 } | |
<image>Find x. Round to the nearest tenth.
Choices:
12.3
24.7
49.3
74.0 | 24.7 | |
<image>Find x.
Choices:
17
17 \sqrt { 2 }
34
17 \sqrt { 6 } | 34 | |
<image>Use parallelogram ABCD to find $m\angle DAC$
Choices:
54
59
72
108 | 72 | |
<image>If QRST is a parallelogram, Find $z$
Choices:
5.4
7
9
11 | 11 | |
<image>Find the measure of $\angle 4$ if $m \angle D G F=53$ and $m \angle A G C=40$.
Choices:
37
40
50
53 | 40 |
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