images images listlengths 1 1 | problem stringlengths 30 291 | answer stringclasses 668 values |
|---|---|---|
<image>Find $x$ so that $ m \parallel n $.
Choices:
- 8
8
8.67
48 | - 8 | |
<image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
6
7
8
9 | 9 | |
<image>Polygon $BCDE$ $\cong$ polygon $RSTU$. Find $x$.
Choices:
3
10
20
42 | 20 | |
<image>Quadrilateral WXYZ is a rectangle. If $XZ = 2c$ and $ZY = 6$, and $XY = 8$, find $WY$.
Choices:
6
8
10
20 | 10 | |
<image>If $\overline{P Q} \cong \overline{Q S}$, $\overline{Q R} \cong \overline{R S}$, and $m \angle P R S=72$, what is the measure of $\angle Q P S$ ?
Choices:
27
54
63
72 | 27 | |
<image>Find $FH$.
Choices:
8
10
12
60 | 12 | |
<image>Find the area of the triangle. Round to the nearest tenth if necessary.
Choices:
75
106.1
129.9
150 | 129.9 | |
<image>Use parallelogram MNPR to find $z$
Choices:
6.1
11.1
15.3
18.3 | 6.1 | |
<image>$\overline{JH}, \overline{JP},$ and $\overline{PH}$ are midsegments of $\triangle KLM$. Find $x$.
Choices:
12.5
20
25
50 | 50 | |
<image>Find x.
Choices:
4 \sqrt { 2 }
4 \sqrt { 3 }
8 \sqrt { 2 }
8 \sqrt { 3 } | 4 \sqrt { 3 } | |
<image>Find $JK$.
Choices:
6
18
24
42 | 24 | |
<image>In $\odot P, m \widehat{E N}=66$ and $m \angle G P M=89$ .
Find $m \angle E G N$
Choices:
33
66
89
155 | 33 | |
<image>In $\odot F, \overline{F H} \cong \overline{F L}$ and $\mathrm{FK}=17$.
Find LK
Choices:
8
15
16
17 | 15 | |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
41.0
57.9
70.9
81.9 | 57.9 | |
<image>Line $l$ is parallel to line $m$. What is the value of $x$?
Choices:
30
40
50
60 | 50 | |
<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 $m \angle X Y W$
Choices:
18
37
53
90 | 53 | |
<image>Find x. Round side measures to the nearest tenth.
Choices:
7.0
8.1
59.7
68.8 | 8.1 | |
<image>Find $x$. $A = 92$ in$^2$.
Choices:
4.2
6.3
8.4
10.5 | 8.4 | |
<image>Find $y$ and so that each quadrilateral is a parallelogram.
Choices:
\frac { 2 } { 3 }
\frac { 4 } { 3 }
\frac { 16 } { 3 }
7 | \frac { 4 } { 3 } | |
<image>Find $\angle D$ of quadrilateral ABCD
Choices:
45
90
135
180 | 45 | |
<image>Quadrilateral MNOP is a rhombus. If PR = 12, find RN.
Choices:
6
12
20
24 | 12 | |
<image>Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26.
Find the perimeter of trapezoid ABCD
Choices:
12
52
73.2
100 | 73.2 | |
<image>Find $RS$.
Choices:
15
16
20
25 | 20 | |
<image>Find $\angle B$ of quadrilateral ABCD
Choices:
45
90
135
180 | 90 | |
<image>In the figure, $a ∥ b, c ∥ d$, and $m∠4 = 57$. Find the measure of $\angle 10$.
Choices:
57
113
123
133 | 57 | |
<image>Find the area of $▱ ABCD$.
Choices:
30
40
50
60 | 50 | |
<image>Find $RT$.
Choices:
4
6
8
10 | 8 | |
<image>Find the measure of $ \angle 1$ in the figure.
Choices:
75
80
85
90 | 80 | |
<image>Find AB
Choices:
4
6
10
11 | 10 | |
<image>find cos B
Choices:
\frac { 5 } { 7 }
\frac { 16 } { 21 }
\frac { 15 } { 16 }
\frac { 16 } { 15 } | \frac { 5 } { 7 } | |
<image>Find the area of the shaded sector. Round to the nearest tenth.
Choices:
7.4
21.4
42.9
50.3 | 7.4 | |
<image>In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 4$.
Choices:
49
59
69
131 | 49 | |
<image>Find y.
Choices:
10
10 \sqrt { 2 }
10 \sqrt { 3 }
20 | 10 \sqrt { 3 } | |
<image>Find $JM$.
Choices:
4.5
5.5
6
11 | 5.5 | |
<image>Use parallelogram to find $x$
Choices:
5
10
11
17 | 5 | |
<image>Find x. Round to the nearest tenth.
Choices:
15.7
18.9
23.2
33.8 | 23.2 | |
<image>Find the area of the shaded sector. Round to the nearest tenth, if necessary.
Choices:
10.0
27.4
65.5
78.5 | 10.0 | |
<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 area of ABCD.
Choices:
40.5
45
63
81 | 45 | |
<image>Find $m\angle Z X V$
Choices:
25
65
115
130 | 115 | |
<image>Refer to the triangle shown below. Find $z$ to the nearest tenth.
Choices:
7.5
10
12.5
\frac { 5 } { 2 } \sqrt { 41 } | \frac { 5 } { 2 } \sqrt { 41 } | |
<image>Find the perimeter of $\triangle P Q R,$ if $\triangle P Q M \sim \triangle P R Q$
Choices:
30
65
78
81 | 78 | |
<image>$\triangle RST \cong \triangle VUT$. What is the area of $\triangle RST$?
Choices:
150
300
450
600 | 300 | |
<image>Find x
Choices:
7.3
25.8
29.1
33.4 | 29.1 | |
<image>Find $\angle V$
Choices:
44
46
54
134 | 46 | |
<image>Find $x$ if $\triangle JMN$ is an isosceles triangle with $\overline{JM} \cong \overline{M N}$.
Choices:
2
3
4
4 | 4 | |
<image>Find the value of $x$ in each diagram
Choices:
36
37
38
74 | 37 | |
<image>Find $x$ in the figure.
Choices:
68
102
112
122 | 112 | |
<image>QRST is a rectangle. If $Q P=3 x+11$ and $P S=4 x+8,$ find $Q S$
Choices:
10
20
25
40 | 40 | |
<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.
Choices:
2
4
6
8 | 6 | |
<image>Use parallelogram $JKLM$ to find $m \angle JML$.
Choices:
60
70
80
90 | 80 | |
<image>Find $m \angle JLK$.
Choices:
30
40
50
70 | 40 | |
<image>In the figure, $\overline{FJ} \cong \overline{FH}$ and $\overline{GF} \cong \overline{GH}$. If $m∠GHJ=152$ and $m∠G=32$, find $m∠JFH$.
Choices:
12
24
32
78 | 24 | |
<image>$UJ=9, VJ=3$, and $ZT=18$. Find $YJ$.
Choices:
3
4.5
6
9 | 4.5 | |
<image>Find the perimeter of the figure in feet. Round to the nearest tenth, if necessary.
Choices:
8
14.4
16
18.9 | 16 | |
<image>Find $JM$ if $\triangle JMN$ is an isosceles triangle with $\overline{JM} \cong \overline{M N}$.
Choices:
2
3
4
5 | 3 | |
<image>Find the area of the kite.
Choices:
28
44
72
144 | 72 | |
<image>For trapezoid QRTU, V and S are midpoints of the legs. If RQ = 5 and VS = 11, find UT.
Choices:
5
12
17
20 | 17 | |
<image>Find the area of the regular polygon. Round to the nearest tenth.
Choices:
47.6
118.9
237.8
475.6 | 237.8 | |
<image>Find y.
Choices:
8
8 \sqrt { 2 }
12
8 \sqrt { 3 } | 8 \sqrt { 2 } | |
<image>Find the area of the trapezoid.
Choices:
28
42
84
168 | 84 | |
<image>find tan A
Choices:
\frac { 15 } { 21 }
\frac { 16 } { 21 }
\frac { 15 } { 16 }
\frac { 16 } { 15 } | \frac { 15 } { 16 } | |
<image>Find $m∠1$.
Choices:
31
36
67
77 | 67 | |
<image>In $\triangle ACE$, $P$ is the centroid. $PF=6$ and $AD=15$. Find $AP$.
Choices:
6
10
12
15 | 10 | |
<image>In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 2$.
Choices:
38
62
80
90 | 80 | |
<image>Find y
Choices:
30
45
60
90 | 30 | |
<image>Each triangle in the figure is a $30^{\circ}-60^{\circ}-90^{\circ}$ triangle. Find $x$
Choices:
2
2.25
3.5
4.5 | 2.25 | |
<image>Find y.
Choices:
\frac { 2 } { 3 } \sqrt { 2 }
\frac { 2 } { 3 } \sqrt { 5 }
2 \sqrt { 2 }
2 \sqrt { 5 } | \frac { 2 } { 3 } \sqrt { 5 } | |
<image>If PR || WX, WX = 10, XY = 6, WY = 8, RY = 5, and PS = 3, find SY
Choices:
3
4
6
6.5 | 4 | |
<image>Each pair of polygons is similar. Find EG
Choices:
5.675
11.25
15.525
66 | 15.525 | |
<image>Find y so that $e || f$.
Choices:
20
25
80
90 | 20 | |
<image>If QRST is a parallelogram, what is the value of x?
Choices:
11
12
13
14 | 13 | |
<image>Find $x$ so that $ m \parallel n $.
Choices:
9
10
11
12 | 9 | |
<image>Find y
Choices:
8
16
16 \sqrt { 3 }
16 \sqrt { 3 } | 16 | |
<image>Find x.
Choices:
\frac { 5 } { 3 } \sqrt { 3 }
5
5 \sqrt { 3 }
10 | 5 \sqrt { 3 } | |
<image>Find the value of $x$ in the figure below.
Choices:
68
112
120
128 | 128 | |
<image>Find x
Choices:
11.4
22.6
32.3
43.2 | 22.6 | |
<image>Find $m \angle SRT$.
Choices:
50
55
60
65 | 65 | |
<image>Find $m\angle 1$
Choices:
\pi
48
96
360 | 48 | |
<image>Find $x$ so that the quadrilateral is a parallelogram.
Choices:
5
8
9
17 | 8 | |
<image>Find the perimeter of the figure.
Choices:
25
50
100
144 | 50 | |
<image>Find $\widehat{D G}$ if $m \angle D G I=24$ and $r=6$
Choices:
6
\frac { 22 } { 5 } \pi
24
24 \pi | \frac { 22 } { 5 } \pi | |
<image>Find $x$.
Choices:
35
36
66
78 | 66 | |
<image>Find $x$.
Choices:
1
2
3
4 | 4 | |
<image>Find the perimeter of $\triangle C B H,$ if $\triangle C B H \sim \triangle F E H, A D E G$ is a parallelogram, $C H=7, F H=10$, $F E=11,$ and $E H=6$.
Choices:
18.9
23.1
31.5
38.6 | 18.9 | |
<image>The area of $▱ A B C D$ is 150 square meters. The area of $▱ F G H J$ is 54 square meters. If $▱ A B C D \sim ▱ F G H J$, find the scale factor of $▱ F G H J$ to $▱ A B C D$.
Choices:
\frac { 9 } { 25 }
\frac { 3 } { 5 }
\frac { 5 } { 3 }
\frac { 25 } { 9 } | \frac { 3 } { 5 } | |
<image>In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 2$.
Choices:
100
110
120
130 | 110 | |
<image>If $m \angle 1=3 x+40$, $m \angle 2=2(y-10)$, and $m \angle 3=2 x+70$, find $x$.
Choices:
30
40
70
75 | 30 | |
<image>Find y.
Choices:
5 \sqrt { 3 }
15
10 \sqrt { 3 }
30 | 10 \sqrt { 3 } | |
<image>Find y.
Choices:
3
3 \sqrt { 3 }
6
3 \sqrt { 5 } | 3 \sqrt { 5 } | |
<image>Find the area of the shaded region formed by the circle and regular polygon. Round to the nearest tenth.
Choices:
0.6
1.3
1.9
3.9 | 1.9 | |
<image>Find $y$.
Choices:
6.5
7
7.5
9 | 7.5 | |
<image>Find $MN$.
Choices:
11
15
17
29 | 29 | |
<image>$\overline{E C}$ and $\overline{A B}$ are diameters of $\odot O$. Find its measure of $\widehat{ACE}$.
Choices:
60
90
180
270 | 270 | |
<image>Find y.
Choices:
\frac { 15 } { 2 }
\frac { 15 } { 2 } \sqrt { 2 }
\frac { 15 } { 2 } \sqrt { 3 }
15 | \frac { 15 } { 2 } | |
<image>Find the measure of $\angle 1$ if $m∠4= m∠5$.
Choices:
53
63
64
69 | 64 | |
<image>Find $m\angle C$
Choices:
38
66
72
128 | 128 | |
<image>Find the perimeter or circumference of the figure. Round to the nearest tenth.
Choices:
4.3
8
8.6
17.2 | 8.6 | |
<image>Find $m \angle T$.
Choices:
15
35
55
60 | 55 | |
<image>Quadrilateral ABCD is a rhombus. If $m\angle ABC = 2x – 7$ and $m\angle BCD = 2x + 3$, find $m\angle DAB$.
Choices:
33
50
95
120 | 95 | |
<image>Use parallelogram ABCD to find $m\angle BCD$
Choices:
20
32
52
128 | 52 |
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