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