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				 images listlengths 1 1 | problem
				 stringlengths 30 291 | answer
				 stringclasses 668
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| 
	<image>Find x. Round to the nearest tenth, if necessary.
Choices:
8
9
10
11 | 
	11 | |
| 
	<image>In the figure, the vertices of quadrilateral ABCD intersect square EFGH and divide its sides into segments with measures that have a ratio of 1:2. Find the ratio between the areas of ABCD and EFGH.
Choices:
1:4
1:2
5:9
1: \sqrt 2 | 
	5:9 | |
| 
	<image>Find the value of $f$ in the parallelogram
Choices:
14
18
36
56 | 
	14 | |
| 
	<image>Find the value of the variable $y$ in the figure.
Choices:
55
115
125
135 | 
	125 | |
| 
	<image>Find $m\angle S$
Choices:
68
80
123
125 | 
	123 | |
| 
	<image>Find $x$ so that $ m \parallel n $.
Choices:
10
11
12
13 | 
	13 | |
| 
	<image>Find $ m ∠RSU $ so that $ m \parallel n $.
Choices:
114
116
120
124 | 
	124 | |
| 
	<image>Find $x$.
Choices:
6
9
12
15 | 
	12 | |
| 
	<image>Find the perimeter of the $\triangle A B C,$ if $\triangle A B C \sim \triangle C B D, A D=5$, $C D=12,$ and $B C=31.2$
Choices:
32.5
72
78
187.2 | 
	78 | |
| 
	<image>$\overline{AB}$ is a diameter, $AC=8$ inches, and $BC=15$ inches. Find the diameter of the circle.
Choices:
8
8.5
15
17 | 
	17 | |
| 
	<image>Find $\angle 10$
Choices:
50
80
100
160 | 
	50 | |
| 
	<image>Find the measure of $\angle 7$ if $\overline{A B} \perp \overline{B C}$.
Choices:
110
120
130
140 | 
	140 | |
| 
	<image>Find $m \widehat {CF}$.
Choices:
40
49
80
98 | 
	80 | |
| 
	<image>$\overline{BC} \| \overline{DF}$. $AC=15$, $BD=3x-2$, $CF=3x+2$, and $AB=12$. Find $x$.
Choices:
3
4
5
6 | 
	6 | |
| 
	<image>Each pair of polygons is similar. Find y
Choices:
70
80
100
150 | 
	70 | |
| 
	<image>Find x.
Choices:
9
12
15
16 | 
	12 | |
| 
	<image>Quadrilateral ABCD is a rectangle. If $m\angle ADB = 4x + 8$ and $m\angle DBA = 6x + 12$, find x.
Choices:
7
20
36
54 | 
	7 | |
| 
	<image>Find $x$.
Choices:
1
2
3
4 | 
	2 | |
| 
	<image>Find x
Choices:
22
24
43
68 | 
	22 | |
| 
	<image>Find x. Assume that any segment that appears to be tangent is tangent.
Choices:
13
34
106
160 | 
	13 | |
| 
	<image>Find the perimeter of quadrilateral ABCD.
Choices:
27 + 14 \sqrt { 2 }
40 + 14 \sqrt { 2 }
27 + 28 \sqrt { 2 }
40 + 28 \sqrt { 2 } | 
	40 + 14 \sqrt { 2 } | |
| 
	<image>Find $EG$.
Choices:
5
6.5
10
13 | 
	10 | |
| 
	<image>In $\triangle JLP$, $m \angle JMP=3 x-6$, $JK=3y-2$, and $LK=5y-8$. Find $LK$ if $\overline{PK}$ is a median.
Choices:
2
5
7
8 | 
	7 | |
| 
	<image>Find $ST$.
Choices:
5
10
12
16 | 
	5 | |
| 
	<image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
18
\sqrt { 612 }
34
612 | 
	\sqrt { 612 } | |
| 
	<image>Use parallelogram $ABCD$ to find $AB$
Choices:
6
12
18
115 | 
	12 | |
| 
	<image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
39.4
49.0
68.2
78.7 | 
	39.4 | |
| 
	<image>Find $x$ if $\odot M \cong \odot N$.
Choices:
8
9
10
12 | 
	9 | |
| 
	<image>Find x. Round side measures to the nearest tenth.
Choices:
16.4
18.0
32.0
35.1 | 
	35.1 | |
| 
	<image>Find x.
Choices:
2 \sqrt { 2 }
3 \sqrt { 2 }
2 \sqrt { 5 }
3 \sqrt { 5 } | 
	2 \sqrt { 5 } | |
| 
	<image>If $QT=11$, what is $QU$.
Choices:
7
8
11
16 | 
	11 | |
| 
	<image>$a=14, b=48,$ and $c=50$ find $tanA$
Choices:
0.17
0.19
0.29
0.50 | 
	0.29 | |
| 
	<image>Find $y$ so that the quadrilateral is a parallelogram
Choices:
9
20
21
41 | 
	41 | |
| 
	<image>$\ln \odot K$, $ M N=16$ and $m \widehat{M N}=98$. Find the measure of $LN$. Round to the nearest hundredth.
Choices:
6.93
7.50
8.94
10.00 | 
	8.94 | |
| 
	<image>In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 6$. 
Choices:
101
111
121
131 | 
	131 | |
| 
	<image>Find the measure of $m∠C$.
Choices:
35
70
90
140 | 
	70 | |
| 
	<image>Find x
Choices:
7
9
11
15 | 
	7 | |
| 
	<image>Find $m \angle 2$.
Choices:
33
39
51
108 | 
	39 | |
| 
	<image>If PR || WX, WX = 10, XY = 6, WY = 8, RY = 5, and PS = 3, find PQ
Choices:
5.5
6
8
11 | 
	6 | |
| 
	<image>Find z.
Choices:
6 \sqrt { 3 }
12 \sqrt { 3 }
18 \sqrt { 2 }
36 | 
	12 \sqrt { 3 } | |
| 
	<image>WXYZ is a parallelogram. Find $m \angle Y Z W$ 
Choices:
33
65
82
115 | 
	115 | |
| 
	<image>Find $XZ$.
Choices:
5
15
23
35 | 
	23 | |
| 
	<image>Find y.
Choices:
6
8
10
12 | 
	10 | |
| 
	<image>Find the measure of $\angle 1$.
Choices:
56
66
76
86 | 
	56 | |
| 
	<image>Find $x$.
Choices:
50
55
60
70 | 
	60 | |
| 
	<image>Find the area of the figure.
Choices:
105
135
150
160 | 
	150 | |
| 
	<image>In $\odot P, m \widehat{E N}=66$ and $m \angle G P M=89$ . 
Find $m \angle G N M$
Choices:
44.5
66
89
155 | 
	44.5 | |
| 
	<image>Find $x$ so that the quadrilateral is a parallelogram
Choices:
3
5
7
8 | 
	3 | |
| 
	<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
1064
1120
1520
1888.1 | 
	1520 | |
| 
	<image>Find $x$.
Choices:
2
3
4
5 | 
	3 | |
| 
	<image>Find $y$.
Choices:
1
2
3
4 | 
	3 | |
| 
	<image>WXYZ is a parallelogram. Find $m \angle X W Z$ 
Choices:
33
65
82
115 | 
	65 | |
| 
	<image>Find x.
Choices:
\frac { 15 } { 2 }
\frac { 15 \sqrt { 2 } } { 2 }
\frac { 15 \sqrt { 3 } } { 2 }
15 \sqrt { 2 } | 
	\frac { 15 \sqrt { 2 } } { 2 } | |
| 
	<image>Find $x$ in the figure.
Choices:
27.7
34
41.3
68 | 
	34 | |
| 
	<image>Find the measure of $\angle 1$ if $m \angle D G F=53$ and $m \angle A G C=40$.
Choices:
37
40
50
53 | 
	37 | |
| 
	<image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
\sqrt { 3 }
\sqrt { 5 }
3
3 \sqrt { 5 } | 
	3 \sqrt { 5 } | |
| 
	<image>Chords $\overline{JF}$ and $\overline{BC}$ intersect at $K .$ If $B K=8$, $K C=12,$ and $K F=16,$ find $J K$
Choices:
6
12
15
18 | 
	6 | |
| 
	<image>Find x.
Choices:
7.0
16.6
32.2
35.5 | 
	32.2 | |
| 
	<image>Find the measure of $\angle 2$ if $m \angle D G F=53$ and $m \angle A G C=40$.
Choices:
37
40
50
53 | 
	50 | |
| 
	<image>Find the rhombus of the kite.
Choices:
120
180
240
300 | 
	240 | |
| 
	<image>Use rhombus XYZW with $m \angle W Y Z=53, V W=3$, $X V=2 a-2,$ and $Z V=\frac{5 a+1}{4}$
Find  XZ
Choices:
2
4
8
16 | 
	8 | |
| 
	<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:
25
28.5
30.4
50 | 
	30.4 | |
| 
	<image>What is ED?
Choices:
15
25
88.5
not enough information | 
	not enough information | |
| 
	<image>If $P T=y-3, P S=y+2, R S=12,$ and $Q S=16$
solve for $y$
Choices:
\frac { 3 } { 14 }
\frac { 2 } { 3 }
\frac { 3 } { 2 }
\frac { 14 } { 3 } | 
	\frac { 14 } { 3 } | |
| 
	<image>The diagonals of rhombus FGHJ intersect at K. 
If $m\angle FJH = 82$, find $m\angle KHJ$.
Choices:
15
33
49
82 | 
	49 | |
| 
	<image>$\Delta EFG$ is equilateral, and $\overline{E H}$ bisects $\angle E$. Find $x$.
Choices:
5
6
7
8 | 
	6 | |
| 
	<image>Find y
Choices:
2 \sqrt { 3 }
4
4 \sqrt { 3 }
8 | 
	4 \sqrt { 3 } | |
| 
	<image>Find x.
Choices:
4 \sqrt { 5 }
4 \sqrt { 13 }
8 \sqrt { 5 }
8 \sqrt { 13 } | 
	4 \sqrt { 13 } | |
| 
	<image>Find the area of the figure.
Choices:
22.9
29.7
54.9
60 | 
	54.9 | |
| 
	<image>ABCD is a rhombus. If EB = 9, AB = 12 and $m\angle ABD = 55$ . Find $m\angle BDA$
Choices:
9
12
20
55 | 
	55 | |
| 
	<image>$\triangle LMN \cong \triangle QRS$. Find $y$.
Choices:
10
20
40
50 | 
	50 | |
| 
	<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 { 4 } { 9 }
\frac { 2 } { 3 }
\frac { 3 } { 2 }
\frac { 9 } { 4 } | 
	\frac { 3 } { 2 } | |
| 
	<image>Quadrilateral MNOP is a rhombus. Find $m\angle MRN $
Choices:
56
90
124
140 | 
	90 | |
| 
	<image>Find x. Round the side measure to the nearest tenth.
Choices:
4.2
8.3
16.7
69.4 | 
	8.3 | |
| 
	<image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
6
8
9.6
14.6 | 
	9.6 | |
| 
	<image>Find the area of the figure in feet. Round to the nearest tenth, if necessary.
Choices:
14.4
16
28.8
32 | 
	14.4 | |
| 
	<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
82
164
836
1448 | 
	164 | |
| 
	<image>Find $m\angle K$
Choices:
62
72
116
160 | 
	62 | |
| 
	<image>Find $m \angle 2$.
Choices:
23
55
63
125 | 
	23 | |
| 
	<image>Find $z$ in the figure.
Choices:
13.5
14
14.5
15 | 
	13.5 | |
| 
	<image>Find $x$.
Choices:
9
11
37
47 | 
	11 | |
| 
	<image>Quadrilateral ABCD is a rectangle. Find y
Choices:
5
12
24
25 | 
	5 | |
| 
	<image>Find the measure of $\angle 1$.
Choices:
33
45
54
55 | 
	55 | |
| 
	<image>Refer to trapezoid $CDFG$ with median $\overline{HE}$. Let $\overline{WX}$ be the median of $CDEH$. Find $WX$.
Choices:
34
38
42
46 | 
	42 | |
| 
	<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.
Choices:
5
10
15
20 | 
	5 | |
| 
	<image>Find the area of the shaded region.
Choices:
12.6
50.3
100.5
402.1 | 
	50.3 | |
| 
	<image>For trapezoid $R S T V, A$ and $B$ are midpoints of the legs. Find $V T$.
Choices:
4
8
26
30 | 
	4 | |
| 
	<image>Find AX if $E X=24$ and $D E=7$
Choices:
1
7
24
25 | 
	24 | |
| 
	<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
80.0
157.6
315.2
364.0 | 
	315.2 | |
| 
	<image>What is the area of the triangle? Round your answer to the nearest tenth if necessary.
Choices:
137.4
161.3
170.5
186.9 | 
	161.3 | |
| 
	<image>Find $m \angle K$.
Choices:
46
63
69
92 | 
	46 | |
| 
	<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
75
106.1
150
212.1 | 
	106.1 | |
| 
	<image>Find $y$ in the figure.
Choices:
15
34
67
75 | 
	15 | |
| 
	<image>For trapezoid $D E G H, X$ and $Y$ are midpoints of the legs. Find $D E$
Choices:
8
16
20
32 | 
	8 | |
| 
	<image>Find x.
Choices:
24
24 \sqrt { 2 }
36
24 \sqrt { 3 } | 
	24 \sqrt { 2 } | |
| 
	<image>In $\odot F$, find $m \widehat {ADB}$.
Choices:
63
153
233
243 | 
	243 | |
| 
	<image>Find the perimeter of the figure. Round to the nearest tenth if necessary.
Choices:
54.8
60
80
109.6 | 
	54.8 | |
| 
	<image>In the figure, $ \overline{JM} \cong \overline{PM}$ and $ \overline{ML} \cong \overline{PL}$. If $m \angle PLJ=34$, find $m \angle JPM$.
Choices:
34
34.5
36
36.5 | 
	36.5 | |
| 
	<image>The segment is tangent to the circle. Find $x$.
Choices:
3
4
5
8 | 
	4 | |
| 
	<image>Find the radius of $\odot K$. Round to the nearest hundredth.
Choices:
9.50
19.00
56.37
59.69 | 
	19.00 | 
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