Yuting6/Geo3k-augmentation huggingface dataset:
Problem: <image>Quadrilateral EFGH is a rectangle. Find $m\angle HEF + m\angle EFG$.
Choices:
33
57
70
180
Answer: 180
Problem: <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
Answer: 271.2
Problem: <image>Find the perimeter of $▱ ABCD$.
Choices:
20
24
28
32
Answer: 28
Problem: <image>Find the area of the trapezoid. 
Choices:
125
250
500
1000
Answer: 500
Problem: <image>Find x.
Choices:
3
4
5
6
Answer: 3
Problem: <image>Find $x$ so that the quadrilateral is a parallelogram.
Choices:
28
30
90
112
Answer: 30
Problem: <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
Answer: 12
Problem: <image>If $\overline{PR} \| \overline{WX}, WX=10, XY=6, WY=8, RY=5,$ and $PS=3,$ find $SY$.
Choices:
3
4
5
6
Answer: 4
Problem: <image>Find $m\angle 2$.
Choices:
12
61
151
163
Answer: 151
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
4
6
8
19
Answer: 8
Problem: <image>In $\odot A, m \angle E A D=42$. Find $m \widehat{B C}$
Choices:
42
48
52
108
Answer: 42
Problem: <image>Find $DF$.
Choices:
5
10
15
20
Answer: 5
Problem: <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
Answer: 18.5
Problem: <image>Find $x$. $A = 78$ cm$^2$.
Choices:
6
8.0
11.5
12.1
Answer: 8.0
Problem: <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
Answer: 90
Problem: <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
Answer: 70
Problem: <image>What is the measure of $\angle GHI$?
Choices:
40
70
100
110
Answer: 110
Problem: <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
Answer: 45
Problem: <image>Find $m \angle 5$.
Choices:
35
39
55
62
Answer: 55
Problem: <image>Find $x$.
Choices:
42
56
70
84
Answer: 70
Problem: <image>Find x. Round side measures to the nearest tenth.
Choices:
5.4
7.7
8.3
11.9
Answer: 7.7
Problem: <image>For the pair of similar figures, use the given areas to find $x$.
Choices:
8.3
10.0
14.4
17.3
Answer: 10.0
Problem: <image>Find $m \angle A$.
Choices:
17
20
33
47
Answer: 20
Problem: <image>Find $x$.
Choices:
95
105
115
125
Answer: 115
Problem: <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
Answer: m + n - 180
Problem: <image>$\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {GCF}$.
Choices:
35
295
305
325
Answer: 325
Problem: <image>In the figure, $m ∠1 = 53$. Find the measure of $∠2$.
Choices:
97
107
117
127
Answer: 127
Problem: <image>Find the perimeter of $\triangle A B C$
Choices:
20
24
30
32
Answer: 30
Problem: <image>In the figure, $ m ∠1 = 3a + 40 $, $ m ∠2 = 2a + 25 $, and $ m ∠3 = 5b - 26 $. Find $b$.
Choices:
21
23
25
27
Answer: 27
Problem: <image>Find $x$ so that $m || n$.
Choices:
18
36
38
72
Answer: 36
Problem: <image>Find x.
Choices:
12
15
18
21
Answer: 21
Problem: <image>Find $SP$.
Choices:
5
6
7
17
Answer: 17
Problem: <image>For the pair of similar figures, use the given areas to find $x$.
Choices:
3.7
4.3
5.8
6.7
Answer: 4.3
Problem: <image>In $\odot J$, $GH=9$ and $KL=4x+1$. Find $x$.
Choices:
2
3
5
9
Answer: 2
Problem: <image>$RP=3.5$ and $JP=9$. Find $PS$.
Choices:
3.5
4.5
7
9
Answer: 4.5
Problem: <image>If $MNPQ \sim XYZW,$ find the perimeter of $MNPQ$.
Choices:
17
18
20
34
Answer: 34
Problem: <image>Find $x$.
Choices:
8
12
15
16
Answer: 12
Problem: <image>The segment is tangent to the circle. Find $x$.
Choices:
5 \sqrt { 5 }
5 \sqrt { 10 }
10 \sqrt { 5 }
10 \sqrt { 10 }
Answer: 5 \sqrt { 10 }
Problem: <image>If $a=10 \sqrt{3},$ find $y$ 
Choices:
10
15
10 \sqrt { 3 }
15 \sqrt { 3 }
Answer: 15 \sqrt { 3 }
Problem: <image>Find x. Round to the nearest tenth.
Choices:
12.3
24.7
49.3
74.0
Answer: 24.7
Problem: <image>Find x.
Choices:
17
17 \sqrt { 2 }
34
17 \sqrt { 6 }
Answer: 34
Problem: <image>Use parallelogram ABCD to find $m\angle DAC$
Choices:
54
59
72
108
Answer: 72
Problem: <image>If QRST is a parallelogram, Find $z$
Choices:
5.4
7
9
11
Answer: 11
Problem: <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
Answer: 40
Problem: <image>If $b=3,$ find $c$
Choices:
\sqrt { 3 }
\sqrt { 5 }
\sqrt { 7 }
2 \sqrt { 3 }
Answer: 2 \sqrt { 3 }
Problem: <image>Find x.
Choices:
3 \sqrt { 6 }
9
6 \sqrt { 3 }
18
Answer: 6 \sqrt { 3 }
Problem: <image>Find $y$.
Choices:
1
3
5
8
Answer: 3
Problem: <image>Find z
Choices:
2
3
10
10 \sqrt { 2 }
Answer: 10 \sqrt { 2 }
Problem: <image>Find the value of x.
Choices:
22.5
45
60
90
Answer: 45
Problem: <image>If $\overline{K H}$ is parallel to $\overline{JI}$, find the measure of  $\angle 1$
Choices:
23
34
66
67
Answer: 66
Problem: <image>Find x. Assume that any segment that appears to be tangent is tangent.
Choices:
5
40
50
90
Answer: 5
Problem: <image>In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 2$. 
Choices:
49
59
69
131
Answer: 49
Problem: <image>What is the measure of $\angle KLM$.
Choices:
32
44
78
94
Answer: 32
Problem: <image>Find y. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth if necessary.
Choices:
10.6
11.6
12.6
13.6
Answer: 12.6
Problem: <image>Find the area of the sector. Round to the nearest tenth.
Choices:
1.7
2.5
25.8
28.3
Answer: 2.5
Problem: <image>Find $x$.
Choices:
30
35
40
45
Answer: 35
Problem: <image>Find the area of the kite.
Choices:
42
52.5
54
63
Answer: 52.5
Problem: <image>Find $m \widehat{JK}$.
Choices:
34
48
56
62
Answer: 56
Problem: <image>Find x. Round the side measure to the nearest tenth.
Choices:
12.7
15.2
28.9
34.8
Answer: 34.8
Problem: <image>Find x.
Choices:
9 \sqrt { 2 }
9 \sqrt { 3 }
18 \sqrt { 2 }
18 \sqrt { 3 }
Answer: 9 \sqrt { 2 }
Problem: <image>Triangles $F G H$ and $F H J$ are inscribed in $\odot K$ with $\widehat{F G} \cong \widehat{F I} .$ Find $x$ if $m \angle 1=6 x-5,$ and $m \angle 2=7 x+4$
Choices:
3
7
20
30
Answer: 7
Problem: <image>Find $x$.
Choices:
114
118
121
125
Answer: 114
Problem: <image>$m \angle B=76$. The measure of $\angle A$ is half the measure of $\angle B$. What is $m \angle C$?
Choices:
46
56
66
76
Answer: 66
Problem: <image>$\overline{AB}$ is tangent to the circle. Find $x$. Round to the nearest tenth.
Choices:
5.1
6.1
7.1
8.1
Answer: 6.1
Problem: <image>Trapezoid MNPQ has an area of 360 square feet. Find the length of $\overline{MN}$.
Choices:
14
16
18
20
Answer: 14
Problem: <image>Find x. Assume that any segment that appears to be tangent is tangent.
Choices:
50
65
115
130
Answer: 130
Problem: <image>Find the measure of $\angle 1 $ if $\overline{A B} \perp \overline{B C}$.
Choices:
64
68
72
76
Answer: 76
Problem: <image>Find AB
Choices:
1.6
2.8
3.6
4
Answer: 3.6
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
4
8
12
16
Answer: 8
Problem: <image>Find x
Choices:
10
15
20
25
Answer: 20
Problem: <image>For trapezoid $ABCD$, $S$ and $T$ are midpoints of the legs. If $AB=3x$, $ST=15$, and $CD=9x$, find $x$.
Choices:
2.5
3
3.5
5
Answer: 2.5
Problem: <image>Express the ratio of $\tan B$ as a decimal to the nearest hundredth.
Choices:
0.38
0.42
0.92
2.40
Answer: 2.40
Problem: <image>In $\odot F, \overline{F H} \cong \overline{F L}$ and $\mathrm{FK}=17$.
Find KM
Choices:
8
15
17
30
Answer: 30
Problem: <image>Find $m\angle 2$
Choices:
100
130
200
300
Answer: 130
Problem: <image>Find the area of the figure. Round to the nearest tenth.
Choices:
462
474
486
495
Answer: 474
Problem: <image>Find $x$.
Choices:
6
9
10.4
12.7
Answer: 9
Problem: <image>If CDFG is a kite, find $m\angle D$
Choices:
18
49
67
122
Answer: 122
Problem: <image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
7.4
7.9
8.4
8.9
Answer: 7.4
Problem: <image>Express the ratio of $\sin Q$ as a decimal to the nearest hundredth.
Choices:
0.47
0.53
0.88
1.88
Answer: 0.47
Problem: <image>Find $y$.
Choices:
1
2
3
4
Answer: 1
Problem: <image>Quadrilateral $ABCD$ is a rhombus. If $AB = 14$, find $BC$.
Choices:
14
18
20
28
Answer: 14
Problem: <image>Find x.
Choices:
42
44
46
48
Answer: 48
Problem: <image>Find the area of the blue sector.
Choices:
2.3 \pi
4.6 \pi
6.9 \pi
9.2 \pi
Answer: 4.6 \pi
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
8
12
16
32
Answer: 8
Problem: <image>$H$ is the incenter of $\triangle ABC$. Find $DH$.
Choices:
7
11
24
25
Answer: 7
Problem: <image>If $\overline{PQ} \cong \overline{UQ}$, $\overline{PR} \cong \overline{RT}$ and $ m ∠ PQU = 40 $, find $ m ∠R $.
Choices:
40
50
60
70
Answer: 40
Problem: <image>Find $x$. Assume that segments that appear to be tangent are tangent.
Choices:
14
21
28
35
Answer: 21
Problem: <image>Find $x$. $A = 96$ in$^2$.
Choices:
6.6
6.9
13.2
13.7
Answer: 6.6
Problem: <image>Rhombus $A B C D$ is circumscribed about $\odot P$ and has a perimeter of 32 Find $x$
Choices:
3
4
5
6
Answer: 5
Problem: <image>Find x.
Choices:
30
45
60
90
Answer: 45
Problem: <image>Find x. Round the angle measure to the nearest degree.
Choices:
68
72
76
80
Answer: 72
Problem: <image>Find the value of $h$.
Choices:
60
84.85
103.92
120
Answer: 84.85
Problem: <image>Find $m \angle R$.
Choices:
28
30
32
34
Answer: 32
Problem: <image>Use parallelogram ABCD to find $m \angle FBC $
Choices:
34
43
49
53
Answer: 34
Problem: <image>In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$
Find $m\widehat{A B}$
Choices:
30
40
60
80
Answer: 80
Problem: <image>Find $MN$ if $\triangle JMN$ is an isosceles triangle with $\overline{JM} \cong \overline{M N}$.
Choices:
2
3
4
5
Answer: 3
Problem: <image>ABCD is a rhombus. If EB = 9, AB = 12 and $m\angle ABD = 55$ . Find AE
Choices:
\sqrt { 63 }
8
12.5
81
Answer: \sqrt { 63 }
Problem: <image>Find y.
Choices:
10
10 \sqrt { 3 }
20
10 \sqrt { 5 }
Answer: 10 \sqrt { 5 }
Problem: <image>Find y.
Choices:
3 \sqrt { 2 }
6 \sqrt { 2 }
6 \sqrt { 3 }
12
Answer: 6 \sqrt { 2 }
Problem: <image>Express the ratio of $ \cos C $ as a decimal to the nearest hundredth.
Choices:
0.60
0.75
0.80
1.33
Answer: 0.80
Problem: <image>Find $x$.
Choices:
11
11.2
12.4
13.8
Answer: 11.2
Problem: <image>Find x.
Choices:
1.5
4
6
9
Answer: 6
Problem: <image>$\overline{JH}, \overline{JP},$ and $\overline{PH}$ are midsegments of $\triangle KLM$. Find $x$.
Choices:
37
47
57
67
Answer: 57
Problem: <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
132
147.5
156
174.4
Answer: 174.4
Problem: <image>In $\triangle EFG, \overline{HL} \parallel \overline{EF}, EH=9, HG=21,$ and $FL=6 .$ Find $LG$
Choices:
12
14
15
16
Answer: 14
Problem: <image>Trapezoid $ABCD$ has an area of 750 square meters. Find the height of $ABCD$.
Choices:
20
25
30
35
Answer: 25
Problem: <image>Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26.
Find DC
Choices:
12
14
22.4
26
Answer: 22.4
Problem: <image>Find $m \angle 2$.
Choices:
82
99
110
112
Answer: 110
Problem: <image>Find $y$ if $\overline{AD}$ is an altitude of $\triangle ABC$.
Choices:
42
44
46
48
Answer: 48
Problem: <image>If $ABCD$ is a kite, Find $m \angle C$
Choices:
60
70
85
120
Answer: 70
Problem: <image>In the figure, $m∠1 = 123$. Find the measure of $\angle 5$.
Choices:
47
57
67
123
Answer: 123
Problem: <image>Find the value of the variable w.
Choices:
4
8
12
16
Answer: 8
Problem: <image>The segment is tangent to the circle. Find $x$. Round to the nearest tenth.
Choices:
8.0
10.7
13.5
22.7
Answer: 10.7
Problem: <image>Find $JK$.
Choices:
7
8
12
15
Answer: 12
Problem: <image>Find y
Choices:
3 \sqrt { 42 }
6 \sqrt { 42 }
48
60
Answer: 6 \sqrt { 42 }
Problem: <image>Assume that the segment is tangent, find the value of $x$.
Choices:
\sqrt { 14 }
\sqrt { 17 }
\sqrt { 93 }
\sqrt { 485 }
Answer: \sqrt { 93 }
Problem: <image>Find the measure of $\angle B$
Choices:
46
92
110
156
Answer: 46
Problem: <image>Find $m \angle W$.
Choices:
74
76
104
106
Answer: 74
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
3
9
12
15
Answer: 9
Problem: <image>Find $m \widehat{TU}$.
Choices:
11.5
23
46
67
Answer: 46
Problem: <image>Find $m \angle 2$.
Choices:
31
42
59
63
Answer: 59
Problem: <image>If WXYZ is a kite, find $YZ$
Choices:
5
8
\sqrt { 89 }
25
Answer: \sqrt { 89 }
Problem: <image>Find the measure of $\angle 3$.
Choices:
49
50
60
70
Answer: 49
Problem: <image>Use parallelogram to find $z$
Choices:
2
7
11
13
Answer: 2
Problem: <image>If $\overline{E B} \parallel \overline{D C},$ find $x$
Choices:
2
4
5
9.5
Answer: 9.5
Problem: <image>Find AS
Choices:
7
7.8
8
9.2
Answer: 8
Problem: <image>Find $LN$.
Choices:
11
15
17
29
Answer: 29
Problem: <image>Find $x$.
Choices:
92
102
112
122
Answer: 102
Problem: <image>In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠10$.
Choices:
55
70
110
125
Answer: 55
Problem: <image>Find $y$ so that each quadrilateral is a parallelogram.
Choices:
4
8
12
20
Answer: 4
Problem: <image>Find z
Choices:
5
16
21
25
Answer: 25
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
3
4
5
6
Answer: 3
Problem: <image>Find the perimeter of the parallelogram.
Choices:
72
74
76
78
Answer: 76
Problem: <image>Find $KL$.
Choices:
6
18
24
42
Answer: 24
Problem: <image>What is the circumference of $\odot T$? Round to the nearest tenth.
Choices:
37.2
39.6
40.8
42.4
Answer: 40.8
Problem: <image>Lines $l$, $m$, and $n$ are perpendicular bisectors of $\triangle PQR$ and meet at $T$. If $TQ = 2x$, $PT = 3y - 1$, and $TR = 8$, find $x$.
Choices:
3
4
5
6
Answer: 4
Problem: <image>Find $x$ if $\overline{MS}$ is an altitude of $\triangle MNQ$, $m\angle 1 = 3x + 11$, and $m \angle 2 = 7x + 9$.
Choices:
5
7
9
11
Answer: 7
Problem: <image>A plane travels from Des Moines to Phoenix, on to Atlanta, and back to Des Moines, as shown below. Find the distance in miles from Des Moines to Phoenix if the total trip was 3482 miles.
Choices:
73.8
91
110
1153
Answer: 1153
Problem: <image>Find $y$ in the given parallelogram
Choices:
2
10
31
149
Answer: 2
Problem: <image>Find $m \angle A B C$ if $m \widehat{A B}=102$
Choices:
102
129
204
306
Answer: 129
Problem: <image>Solve for $x$.
Choices:
9
10
11
12
Answer: 12
Problem: <image>Find $x$.
Choices:
45
60
90
135
Answer: 45
Problem: <image>Triangle $CDE$ has an area of 336 square inches. Find $CE$.
Choices:
24
26
28
32
Answer: 28
Problem: <image>The segment is tangent to the circle. Find $x$.
Choices:
1
2
3
4
Answer: 1
Problem: <image>For trapezoid QRST, M and P are midpoints of the legs. If TS = 2x + 2, QR = 5x + 3, and PM = 13, find TS.
Choices:
4
8
12
20
Answer: 8
Problem: <image>Find $x$.
Choices:
20
70
110
220
Answer: 70
Problem: <image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
3
4
5
6
Answer: 5
Problem: <image>Find $m \angle ACD$.
Choices:
22
44
66
92
Answer: 44
Problem: <image>Find the area of the triangle. Round to the nearest hundredth.
Choices:
6.02
7.54
7.99
9.42
Answer: 6.02
Problem: <image>Find the perimeter of the $\triangle CBH,$ if $\triangle CBH \sim \triangle FEH$, $ADEG$ is a parallelogram, $CH=7$, $FH=10, FE=11$, and $EH=6$. Rounded to the nearest tenth.
Choices:
10.6
17.6
18.9
20.3
Answer: 18.9
Problem: <image>Find $ED$ if $AE=3, AB=2$, $BC=6,$ and $ED=2x-3$
Choices:
5
6
8
9
Answer: 9
Problem: <image>Use parallelogram ABCD to find $x$
Choices:
2
5
25
50
Answer: 5
Problem: <image>Find x. Round to the nearest tenth, if necessary.
Choices:
2.7
3
4
5.3
Answer: 5.3
Problem: <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:
114.2
214.2
264.2
314.2
Answer: 114.2
Problem: <image>Find $YZ$ of isosceles $\triangle XYZ$
Choices:
1
7
8
9
Answer: 7
Problem: <image>Find $m \widehat{E D B}$ if $m \widehat{F E}=118, m \widehat{A B}=108$, $m \angle E G B=52,$ and $m \angle E F B=30$.
Choices:
15
52
108
118
Answer: 15
Problem: <image>Quadrilateral $WXZY$ is a rhombus. If $m \angle XZY=56$, find $m \angle YWZ$.
Choices:
14
28
34
56
Answer: 28
Problem: <image>Find $y$ in the figure.
Choices:
42
48
80
90
Answer: 90
Problem: <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 $m\angle LQM$
Choices:
10
20
70
80
Answer: 70
Problem: <image>Find x
Choices:
5
6
7
8
Answer: 6
Problem: <image>In the figure, $\overline{CP}$ is an altitude, $\overline{CQ}$ is the angle bisector of $∠ACB$, and $R$ is the midpoint of $\overline{AB}$. Find  $x$ if $m∠APC=72+x$.
Choices:
12
15
16
18
Answer: 18
Problem: <image>What is the value of tan x?
Choices:
\frac { 5 } { 13 }
\frac { 5 } { 12 }
\frac { 12 } { 5 }
\frac { 13 } { 5 }
Answer: \frac { 5 } { 12 }
Problem: <image>Find $m \angle 1$.
Choices:
24
54
66
78
Answer: 66
Problem: <image>Find y
Choices:
12
23
28
43
Answer: 28
Problem: <image>In $\odot O, \overline{E C}$ and $\overline{A B}$ are diameters, and $\angle B O D \cong \angle D O E \cong \angle E O F \cong \angle F O A$
Find $m\widehat{C B F}$
Choices:
45
135
180
225
Answer: 225
Problem: <image>Find the area of the figure. Round to the nearest tenth.
Choices:
36.4
105.7
211.4
422.7
Answer: 105.7
Problem: <image>Quadrilateral $A B C D$ is inscribed in $\odot Z$ such that $m \angle B Z A=104, m \widehat{C B}=94,$ and $\overline{A B} \| \overline{D C} .$
Find $m \angle B D A$
Choices:
36
52
94
104
Answer: 52
Problem: <image>Find $m \widehat{Y C}$.
Choices:
21
60
75
180
Answer: 60
Problem: <image>Find $x$ so that $m || n$.
Choices:
11
38.2
39
103
Answer: 39
Problem: <image>Find $m \angle K$.
Choices:
105
113
117
121
Answer: 117
Problem: <image>For trapezoid $Q R S T, A$ and $B$ are midpoints of the legs. Find $A B$
Choices:
12
16
20
32
Answer: 16
Problem: <image>What is the area of the figure? Round to the nearest tenth.
Choices:
346.4
372.1
383.2
564.7
Answer: 346.4
Problem: <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  XW
Choices:
5
10
15
20
Answer: 5
Problem: <image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
24.7
45.9
68.7
119.0
Answer: 68.7
Problem: <image>Find the area of the figure. Round to the nearest tenth.
Choices:
75
106.1
129.9
259.8
Answer: 129.9
Problem: <image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 4$.
Choices:
64
66
74
76
Answer: 64
Problem: <image>Find $m \angle 4$.
Choices:
26
32
64
78
Answer: 64
Problem: <image>Find x
Choices:
30
60
90
120
Answer: 30
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
40
50
60
80
Answer: 50
Problem: <image>Find $x$.
Choices:
53
84
106
127
Answer: 127
Problem: <image>Find $m\angle Z X Y$
Choices:
25
65
115
180
Answer: 65
Problem: <image>If $\overline{PR} \| \overline{KL}, KN=9, LN=16,$ and $PM=2KP$, find $KP$.
Choices:
5
9
12
15
Answer: 5
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
57.5
81.3
99.6
115
Answer: 115
Problem: <image>Find $m \angle 3$.
Choices:
39
42
48
51
Answer: 51
Problem: <image>Find the area of the figure.
Choices:
73
77
80
88
Answer: 77
Problem: <image>Find the measure of $\angle 6$ if $m∠4= m∠5$.
Choices:
44
47
53
64
Answer: 44
Problem: <image>$\overline{JH}$ is tangent to $\odot G$ at $J$. Find the value of $x$.
Choices:
3
5
8
12
Answer: 5
Problem: <image>Find $x$ so that the quadrilateral is a parallelogram.
Choices:
8
9
18
19
Answer: 8
Problem: <image>Solve for $x$.
Choices:
10
15
25
30
Answer: 15
Problem: <image>Find $HJ$.
Choices:
10
12
15
25
Answer: 15
Problem: <image>Use parallelogram MNPR to find $m \angle MQR$
Choices:
83
97
103
107
Answer: 83
Problem: <image>Find $m\angle D$
Choices:
36
74
78
128
Answer: 74
Problem: <image>Find the perimeter of the $\triangle DEF$, if $\triangle DEF \sim \triangle CBF$, perimeter of $\triangle CBF=27, DF=6, FC=8$.
Choices:
16
17.25
20.25
27
Answer: 20.25
Problem: <image>Find x
Choices:
\frac { 1 } { 7 }
\frac { 3 } { 7 }
\frac { 4 } { 7 }
\frac { 5 } { 7 }
Answer: \frac { 3 } { 7 }
Problem: <image>$\overline{PM}$ is a diameter of $\odot R$. Find $m \widehat {MNP}$.
Choices:
120
140
160
180
Answer: 180
Problem: <image>Find x.
Choices:
4 \sqrt { 15 }
13 \sqrt { 2 }
13 \sqrt { 3 }
8 \sqrt { 15 }
Answer: 13 \sqrt { 2 }
Problem: <image>Find $m \widehat{B X}$
Choices:
21
45
63
117
Answer: 117
Problem: <image>Find the measure of $∠T$ to the nearest tenth.
Choices:
33.6
39.8
50.2
56.4
Answer: 56.4
Problem: <image>Find $m \angle Z$.
Choices:
60
80
120
135
Answer: 80
Problem: <image>Find $x$.
Choices:
7
12
22
31
Answer: 12
Problem: <image>Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\angle 8$ if $m∠1 = 30$.
Choices:
30
60
90
120
Answer: 30
Problem: <image>Express the ratio of $\sin B$ as a decimal to the nearest hundredth.
Choices:
0.38
0.42
0.92
2.40
Answer: 0.92
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
2
2.37
4
4.37
Answer: 2.37
Problem: <image>$ \triangle WXY $  and $ \triangle XYZ $ are isosceles and $m∠XYZ = 128$. Find the measure of $∠YZX$.
Choices:
22
24
26
28
Answer: 26
Problem: <image>Find the area of the circle. Round to the nearest tenth.
Choices:
348.7
697.4
38707.6
154830.3
Answer: 38707.6
Problem: <image>Find $a$ if $c=8, b=10,$ and $m \angle A=60$
Choices:
4.6
5.9
7.2
9.2
Answer: 9.2
Problem: <image>Quadrilateral ABCD is a rhombus. If $m\angle BCD$ = 64, find $m\angle BAC$.
Choices:
32
39
64
67
Answer: 32
Problem: <image>parallelogram MNPQ with $m \angle M=10 x$ and $m \angle N=20 x$, find $\angle Q$
Choices:
30
45
60
120
Answer: 120
Problem: <image>Find the perimeter of the figure.
Choices:
22
44
60
120
Answer: 44
Problem: <image>Find $FE$ if $AB=6, AF=8, BC=x, CD=y$, $DE=2y-3,$ and $FE=x+\frac{10}{3}$.
Choices:
9
10
\frac { 40 } { 3 }
15
Answer: \frac { 40 } { 3 }
Problem: <image>Find $m \angle JKL$.
Choices:
21
31
43
84
Answer: 31
Problem: <image>Find $m\angle F$
Choices:
100
116
127
140
Answer: 116
Problem: <image>For the pair of similar figures, find the area of the green figure.
Choices:
151.25
275.00
909.09
1652.89
Answer: 151.25
Problem: <image>Use a calculator to find the measure of $∠J$ to the nearest degree.
Choices:
35
45
55
65
Answer: 45
Problem: <image>In A, the radius is $14$ and $CD = 22$. Find $CE$.
Choices:
7
11
14
22
Answer: 11
Problem: <image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
26.8
30.7
31.7
34.6
Answer: 34.6
Problem: <image>$\overline{QS}$ is a diameter of $\odot V$. Find $m \widehat {STP}$.
Choices:
123
144
147
150
Answer: 147
Problem: <image>Find $m \angle P$.
Choices:
60
70
100
120
Answer: 70
Problem: <image>$\triangle FGH$ is an equilateral triangle. Find $FG$.
Choices:
3
16
19
22
Answer: 19
Problem: <image>Find the angle measure of $\angle 1$.
Choices:
128
132
142
152
Answer: 142
Problem: <image>Use parallelogram MNPR to find $y$
Choices:
6.45
12.9
17.9
35.8
Answer: 6.45
Problem: <image>Find the measure of $m∠K$.
Choices:
26.5
53
58
106
Answer: 53
Problem: <image>Find x. Round side measures to the nearest tenth.
Choices:
5.3
7.3
16.5
22.8
Answer: 22.8
Problem: <image>In $\odot B$, $m \angle LBM = 3x$ and $m \angle LBQ = 4x + 61$. What is the measure of $\angle PBQ$?
Choices:
17
34
51
61
Answer: 51
Problem: <image>Find $y$.
Choices:
8
10
12
14
Answer: 10
Problem: <image>For the pair of similar figures, use the given areas to find $x$.
Choices:
7.6
12.6
35
58.3
Answer: 35
Problem: <image>In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠8$.
Choices:
65
73
75
83
Answer: 73
Problem: <image>$\overline{PM}$ is a diameter of $\odot R$. Find $m \widehat {MQ}$.
Choices:
45
55
65
75
Answer: 65
Problem: <image>Find x.
Choices:
7
7 \sqrt { 2 }
7 \sqrt { 3 }
14
Answer: 7 \sqrt { 3 }
Problem: <image>ABCD is a trapezoid.
If $AC = 3x – 7$ and $BD = 2x + 8$, find the value of $x$ so that ABCD is isosceles.
Choices:
15
20
28
38
Answer: 15
Problem: <image>Find the area of the triangle. Round to the nearest tenth if necessary.
Choices:
96
135
192
240
Answer: 96
Problem: <image>Find the measure of $\angle 7$.
Choices:
70
110
140
220
Answer: 110
Problem: <image>$J$ is the incenter of $\angle ABC$. Find $m \angle JAC$.
Choices:
15
24
32
34
Answer: 24
Problem: <image>Find x
Choices:
55
110
125
235
Answer: 235
Problem: <image>In $\odot F, \overline{F H} \cong \overline{F L}$ and $\mathrm{FK}=17$.
Find JH
Choices:
15
16
17
30
Answer: 15
Problem: <image>Find $y$ in the figure.
Choices:
11
12
13
14
Answer: 11
Problem: <image>Find $m \angle 1$.
Choices:
26
32
58
64
Answer: 26
Problem: <image>Quadrilateral $A B C D$ is inscribed in $\odot Z$ such that $m \angle B Z A=104, m \widehat{C B}=94,$ and $\overline{A B} \| \overline{D C} .$
Find $m \widehat{B A}$
Choices:
36
90
104
120
Answer: 104
Problem: <image>Find $m \angle P$.
Choices:
28
35
56
70
Answer: 35
Problem: <image>Find x
Choices:
3
3 \sqrt { 2 }
6
6 \sqrt { 2 }
Answer: 3 \sqrt { 2 }
Problem: <image>Use parallelogram NQRM to find NQ
Choices:
13
14
15
16
Answer: 14
Problem: <image>If $ABCD$ is a kite, find $AB$
Choices:
3
4
5
7
Answer: 5
Problem: <image>Find $y$.
Choices:
1
2
3
4
Answer: 2
Problem: <image>Use parallelogram to find $y$
Choices:
26.5
53
63.5
127
Answer: 63.5
Problem: <image>Each pair of polygons is similar. Find y
Choices:
7
8
10
45
Answer: 7
Problem: <image>Find $x$. Round to the nearest tenth.
Choices:
11.7
12.7
13.3
13.7
Answer: 12.7
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
154.1
231.0
307.6
308
Answer: 154.1
Problem: <image>In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$
Find AM
Choices:
10
15
20
30
Answer: 15
Problem: <image>Find $m \widehat {AC}$.
Choices:
12
24
48
96
Answer: 48
Problem: <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 $m \angle HWP$.
Choices:
15
16
17
18
Answer: 17
Problem: <image>Find $m \angle A$.
Choices:
42.5
85
95
170
Answer: 85
Problem: <image>Find the area of the trapezoid.
Choices:
44.3
48
96
192
Answer: 96
Problem: <image>Suppose $C E=5.2$ inches. Find the diameter of the circle.
Choices:
2.6
4.8
10.4
20.8
Answer: 10.4
Problem: <image>Find x.
Choices:
8
8 \sqrt { 2 }
8 \sqrt { 3 }
16
Answer: 8 \sqrt { 2 }
Problem: <image>Find x. Round the side measure to the nearest tenth.
Choices:
6.5
13.1
26.1
52.3
Answer: 13.1
Problem: <image>If $\overline{PR} \| \overline{WX}, WX=10, XY=6, WY=8, RY=5,$ and $PS=3,$ find $PQ$.
Choices:
3
4
5
6
Answer: 6
Problem: <image>Find x. 
Choices:
3 \sqrt { 5 }
4 \sqrt { 5 }
5 \sqrt { 5 }
6 \sqrt { 5 }
Answer: 3 \sqrt { 5 }
Problem: <image>Find x to the nearest hundredth.
Choices:
7.61
8.39
16.31
18.00
Answer: 8.39
Problem: <image>Find the base of the parallelogram given its area with 100 square units.
Choices:
15
20
25
30
Answer: 20
Problem: <image>Find x
Choices:
\frac { 17 \sqrt { 2 } } { 2 }
17
17 \sqrt { 2 }
34
Answer: \frac { 17 \sqrt { 2 } } { 2 }
Problem: <image>$\ln \odot K$, $ M N=16$ and $m \widehat{M N}=98$. Find the measure of $m \widehat{NJ}$. Round to the nearest hundredth.
Choices:
49.00
82.00
98.00
131.00
Answer: 131.00
Problem: <image>Find $m \angle 2$.
Choices:
50
52
56
68
Answer: 52
Problem: <image>In the figure, $m ∠1 = 53$. Find the measure of $∠3$.
Choices:
53
57
63
67
Answer: 53
Problem: <image>Find x.
Choices:
4.6
5.6
6.6
7.6
Answer: 5.6
Problem: <image>Point $S$ is the incenter of $\triangle JPL$. Find $m \angle MPQ$.
Choices:
24.5
28
49
56
Answer: 56
Problem: <image>The lengths of the bases of an isosceles trapezoid are shown below. If the perimeter is 74 meters, what is its area?
Choices:
162
270
332.5
342.25
Answer: 162
Problem: <image>Find $x$ so that $p \parallel q$.
Choices:
11
40
45
55
Answer: 45
Problem: <image>Find $BC$.
Choices:
23
24
25
27
Answer: 23
Problem: <image>Find x
Choices:
2 \sqrt { 3 }
4 \sqrt { 3 }
4 \sqrt { 5 }
4 \sqrt { 6 }
Answer: 4 \sqrt { 3 }
Problem: <image>Find $QR$.
Choices:
5
15
20
25
Answer: 25
Problem: <image>If $A D=8, A E=12,$ and $E C=18,$ find $A B$
Choices:
15
16
18
20
Answer: 20
Problem: <image>Find $m \angle 2$.
Choices:
20
40
45
65
Answer: 20
Problem: <image>Find the measure of $\angle S$
Choices:
71
128
142
152
Answer: 71
Problem: <image>Find $B C$ if $B E=24, C D=32,$ and $A B=33$
Choices:
11
12
16
44
Answer: 11
Problem: <image>Find x.
Choices:
6 \sqrt 2
6 \sqrt { 3 }
12
6 \sqrt { 6 }
Answer: 6 \sqrt 2
Problem: <image>Find the area of the shaded sector. Round to the nearest tenth.
Choices:
3.0
4.5
23.8
28.3
Answer: 4.5
Problem: <image>Find the measure of $\angle A$. Round to the nearest degree.
Choices:
64
69
74
79
Answer: 74
Problem: <image>Trapezoid $NOPQ$ has an area of 250 square inches. Find the height of $NOPQ$.
Choices:
10
15
20
25
Answer: 10
Problem: <image>Express the ratio of $\tan A$ as a decimal to the nearest hundredth.
Choices:
0.38
0.42
0.92
2.40
Answer: 0.42
Problem: <image>Find VW
Choices:
10
12
14
16
Answer: 12
Problem: <image>$\triangle K L N$ and $\triangle L M N$ are isosceles and $m \angle J K N=130$. Find the measure of $\angle LKN$.
Choices:
75
78
79
81
Answer: 81
Problem: <image>Find $m \angle 2$.
Choices:
59
74
106
110
Answer: 106
Problem: <image>Find $x$ so that $p \parallel q$.
Choices:
16
22
44
66
Answer: 44
Problem: <image>Find $m \angle FED$.
Choices:
8
41
49
82
Answer: 82
Problem: <image>Triangle $WXY$ has an area of 248 square inches. Find the length of the base.
Choices:
15.5
16
31
32
Answer: 31
Problem: <image>Find x
Choices:
\sqrt { 6 }
6
6 \sqrt { 3 }
12
Answer: 12
Problem: <image>Find $m \widehat {RQ}$.
Choices:
14
28
37
51
Answer: 28
Problem: <image>Find the perimeter of $\triangle D E F,$ if $\triangle D E F \sim \triangle A C B$
Choices:
28
30
42
49
Answer: 42
Problem: <image>Find x. Round side measures to the nearest tenth.
Choices:
2.0
4.1
7.9
8.1
Answer: 2.0
Problem: <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 { 9 } { 49 }
\frac { 3 } { 7 }
\frac { 7 } { 3 }
\frac { 49 } { 9 }
Answer: \frac { 3 } { 7 }
Problem: <image>Find x
Choices:
6
8
10
12
Answer: 6
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
190
1554
3108
6216
Answer: 3108
Problem: <image>For the pair of similar figures, use the given areas to find the scale factor from the blue to the green figure.
Choices:
\frac { 9 } { 16 }
\frac { 3 } { 4 }
\frac { 4 } { 3 }
\frac { 16 } { 9 }
Answer: \frac { 3 } { 4 }
Problem: <image>Find QX if $E X=24$ and $D E=7$
Choices:
7
18
24
25
Answer: 18
Problem: <image>Find the perimeter of the figure.
Choices:
23
26
36
72
Answer: 36
Problem: <image>Find $F B$ if $\overline{S A}$ and $\overline{F B}$ are altitudes and $\triangle R S T \sim \triangle E F G$
Choices:
1
2
3
4
Answer: 2
Problem: <image>Find $AC$ if $\triangle ABC$ is an isosceles triangle with $\overline{AB} \cong \overline{BC}$. 
Choices:
3
4
7
11
Answer: 4
Problem: <image>Find the measure of $RT$ of equilateral triangle $RST$ if $RS = x + 9$, $ST = 2x$, and $RT = 3x - 9$.
Choices:
9
12
15
18
Answer: 18
Problem: <image>Find the area of the triangle. Round to the nearest tenth if necessary.
Choices:
137.5
150
265
287.5
Answer: 137.5
Problem: <image>isosceles trapezoid TWYZ with $\angle Z \cong \angle Y, m \angle Z=30 x$, $\angle T \cong \angle W,$ and $m \angle T=20 x$, find $\angle T$
Choices:
62
72
108
118
Answer: 72
Problem: <image>Find $x$.
Choices:
7
15
21
75
Answer: 21
Problem: <image>What is the perimeter of the figure?
Choices:
20
46
90
132
Answer: 20
Problem: <image>If $\overline{QR} \| \overline{XY}, \overline{XQ} \cong \overline{QZ}$, and $QR=9.5$ units, what is the length of $\overline{XY}$.
Choices:
4.75
9.5
19
28.5
Answer: 19
Problem: <image>Square $F G H J$ is inscribed in $\odot K$. Find the measure of a central angle.
Choices:
45
60
90
180
Answer: 90
Problem: <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 } { 25 }
\frac { 2 } { 5 }
\frac { 5 } { 2 }
\frac { 25 } { 4 }
Answer: \frac { 5 } { 2 }
Problem: <image>Find x
Choices:
5
5 \sqrt { 3 }
10
15
Answer: 5 \sqrt { 3 }
Problem: <image>Find x. Round the side measure to the nearest tenth.
Choices:
8.7
14.6
22.2
37.2
Answer: 37.2
Problem: <image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
25.0
53.5
78.5
103.5
Answer: 53.5
Problem: <image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 11$.
Choices:
104
106
114
116
Answer: 116
Problem: <image>Find y
Choices:
2 \sqrt { 7 }
6
8
10
Answer: 10
Problem: <image>Find $GH$
Choices:
17
35
39
45
Answer: 39
Problem: <image>Find the area of the triangle. Round to the nearest hundredth.
Choices:
0.92
0.99
1.02
1.98
Answer: 0.92
Problem: <image>Find y.
Choices:
4
4 \sqrt { 3 }
12
8 \sqrt { 3 }
Answer: 4 \sqrt { 3 }
Problem: <image>Express the ratio of $\sin L$ as a decimal to the nearest hundredth.
Choices:
0.38
0.42
0.92
2.40
Answer: 0.38
Problem: <image>Rhombus $WXYZ$ has an area of 100 square meters. Find $WY$ if $XZ = 10$ meters.
Choices:
5
10
20
40
Answer: 20
Problem: <image>Find the ratio of $MS$ to $SP$, given that $MNPQ$ is a parallelogram with $MR=\frac{1}{4} MN$
Choices:
0.25
0.5
1
2
Answer: 0.5
Problem: <image>Parallelogram MNPQ is shown. What is the value of $x$?
Choices:
13
39
141
169
Answer: 13
Problem: <image>Circle $O$ has a radius of $10, A B=10$ and $m \overrightarrow{A B}=60 .$ Find $m\widehat{A X}$
Choices:
5
10
20
30
Answer: 5
Problem: <image>In quadrilateral $A B C D, A C=188, B D=214$, $m \angle B P C=70,$ and $P$ is the midpoint of $A C$ and BD. Find the perimeter of quadrilateral $A B C D .$
Choices:
343.1
423.1
561.2
671.2
Answer: 561.2
Problem: <image>Find the variable of $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
14.1
14.6
15.1
15.6
Answer: 14.6
Problem: <image>Find x
Choices:
5.5
5.5 \sqrt { 2 }
11
11 \sqrt { 2 }
Answer: 5.5
Problem: <image>The segment is tangent to the circle. Find the value of $x$.
Choices:
6
8
12
26
Answer: 6
Problem: <image> The diagonals of rectangle $A B C D$ each have a length of 56 feet. If $m \angle B A C=42^{\circ}$, what is the length of $\overline{A B}$ to the nearest tenth of a foot?
Choices:
41.6
50.4
56.3
75.4
Answer: 41.6
Problem: <image>$\triangle NDG \cong \triangle LGD$. Find $x$.
Choices:
36
54
60
77
Answer: 54
Problem: <image>In $\odot T, Z V=1,$ and $T W=13$. Find XV
Choices:
5
11
12
13
Answer: 5
Problem: <image>Find $x$.
Choices:
47
58
81.5
94
Answer: 81.5
Problem: <image>Express the ratio of $\cos L$ as a decimal to the nearest hundredth.
Choices:
0.38
0.42
0.92
2.40
Answer: 0.92
Problem: <image>Find the perimeter of the figure. Round to the nearest tenth if necessary.
Choices:
24.0
24.7
25.4
31.4
Answer: 31.4
Problem: <image>In $\triangle PQR$, $ZQ=3a-11$, $ZP=a+5$, $PY=2 c-1$, $YR=4 c-11$, $m \angle PRZ=4 b-17$, $m \angle ZRQ=3 b-4$, $m \angle QYR=7 b+6$, and $m \angle PXR=2 a+10$. $\overline{PX}$ is an altitude of $ \triangle PQR$. Find $a$.
Choices:
10
20
30
40
Answer: 40
Problem: <image>Find the area of the shaded region. Assume that the polygon is regular unless otherwise stated. Round to the nearest tenth.
Choices:
42.1
104.9
153.9
196
Answer: 42.1
Problem: <image>Two triangles are similar. Find $x$.
Choices:
11
12
13.5
16.5
Answer: 16.5
Problem: <image>In $\odot D, \overline{D E} \cong \overline{E C}, m \widehat{C F}=60,$ and
$\overline{D E} \perp \overline{E C} .$ Find $m \angle 5$
Choices:
30
30
60
90
Answer: 30
Problem: <image>For isosceles trapezoid $X Y Z W$ find the length of the median
Choices:
14
16
28
32
Answer: 14
Problem: <image>If $EN=13$, what is the diameter of the circle?
Choices:
6.5
13
19.5
26
Answer: 26
Problem: <image>Find x
Choices:
\sqrt { 24 }
2 \sqrt { 11 }
2 \sqrt { 22 }
\sqrt { 89 }
Answer: 2 \sqrt { 22 }
Problem: <image>Find the perimeter of the parallelogram.
Choices:
58
72
88
116
Answer: 116
Problem: <image>$\overline{JH}$ is a midsegment of $\triangle KLM$. Find $x$.
Choices:
5
10
15
20
Answer: 10
Problem: <image>In the figure, $m ∠1 = 53$. Find the measure of $∠5$.
Choices:
113
117
123
127
Answer: 127
Problem: <image>Find the length of $WY$
Choices:
4
5
6
9
Answer: 9
Problem: <image>Find $m\angle D$
Choices:
117
117
126
127
Answer: 117
Problem: <image>In $\odot G, m \angle A G B=30$ and $\overline{C G} \perp \overline{G D}$.
Find $m \widehat{F D}$
Choices:
30
45
90
135
Answer: 30
Problem: <image>Find $x$.
Choices:
6
12
24
48
Answer: 48
Problem: <image>In $\triangle JLP$, $m \angle JMP=3 x-6$, $JK=3y-2$, and $LK=5y-8$. If $\overline{JM}$ is an altitude of $\triangle JLP$, find $x$.

Choices:
23
32
35
55
Answer: 32
Problem: <image>If WXYZ is a kite, find $m\angle Z$
Choices:
60
75
120
150
Answer: 75
Problem: <image>Find $y$.
Choices:
4
6
8
14
Answer: 6
Problem: <image>In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 12$.
Choices:
38
62
118
142
Answer: 118
Problem: <image>In $\odot F$, $GK=14$ and $m \widehat{GHK}=142$. Find $m \widehat {KM}$.
Choices:
99
109
113
142
Answer: 109
Problem: <image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 8$.
Choices:
86
96
106
116
Answer: 116
Problem: <image>Find x.
Choices:
8
16
32
64
Answer: 32
Problem: <image>Find $YZ$.
Choices:
2
4
6
8
Answer: 4
Problem: <image>Quadrilateral WXYZ is a rectangle.  If $ZY = 2x + 3$ and $WX = x + 4$, find $WX$.
Choices:
2
5
7
10
Answer: 5
Problem: <image>Find $m \angle Q$
Choices:
70
90
110
180
Answer: 70
Problem: <image>Triangle RST is circumscribed about the circle below. What is the perimeter of the triangle?
 
Choices:
33
36
37
40
Answer: 36
Problem: <image>Find $x$.
Choices:
2
3
4
5
Answer: 2
Problem: <image>Find $AB$.
Choices:
12
16
24
44
Answer: 12
Problem: <image>Find $m \angle 1$.
Choices:
15
43
59
71
Answer: 59
Problem: <image>Find the area of the shaded region.
Choices:
14.1
15.9
47.7
63.6
Answer: 47.7
Problem: <image>If $R T=15, Q P=21,$ and $P T=8,$ find $T S$
Choices:
8
15
20
21
Answer: 20
Problem: <image>Find QS
Choices:
3
4
6
9
Answer: 3
Problem: <image>In quadrilateral $P Q R S, P Q=721, Q R=547$, $R S=593, P S=756,$ and $m \angle P=58 .$ 
Find $m\angle R$
Choices:
53.4
67.4
77.8
87.6
Answer: 77.8
Problem: <image>Find z.
Choices:
2 \sqrt { 5 }
2 \sqrt { 6 }
2 \sqrt { 10 }
2 \sqrt { 15 }
Answer: 2 \sqrt { 15 }
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
81
119.5
239
320
Answer: 239
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
35
70
145
155
Answer: 145
Problem: <image>If XM = 4, XN = 6, and NZ = 9, find XY.
Choices:
5
10
13
15
Answer: 10
Problem: <image>Express the ratio of $\sin A$ as a decimal to the nearest hundredth.
Choices:
0.60
0.75
0.80
1.33
Answer: 0.80
Problem: <image>In $\odot S$, find $PR$.
Choices:
6
12
14
18
Answer: 12
Problem: <image>Express the ratio of $\tan A$ as a decimal to the nearest hundredth.
Choices:
0.60
0.80
1.33
1.67
Answer: 1.33
Problem: <image>Find $m \angle MNP$.
Choices:
40
50
130
140
Answer: 130
Problem: <image>JKLM is a rectangle. MLPR is a rhombus. $\angle J M K \cong \angle R M P$, $m \angle J M K=55$ and  $m \angle M R P=70 $. Find $m \angle M P R$
Choices:
55
70
125
250
Answer: 55
Problem: <image>In quadrilateral $P Q R S, P Q=721, Q R=547$, $R S=593, P S=756,$ and $m \angle P=58 .$ 
Find $Q S$
Choices:
345.7
542.5
671.2
716.7
Answer: 716.7
Problem: <image>Find $\angle1$
Choices:
47
65
112
159
Answer: 112
Problem: <image>The segment is tangent to the circle. Find $x$ to the nearest hundredth.
Choices:
3.00
4.03
6.72
8.06
Answer: 8.06
Problem: <image>$P$ is the incenter of $\triangle AEC$. Find $DE$. Rounded to the nearest hundredth.
Choices:
13.11
13.21
14.90
28.51
Answer: 13.11
Problem: <image>In $\odot P$, $PS=4$, find the length of $\widehat {QR}$. Round to the nearest hundredth.
Choices:
1.75
2.37
3.49
4.75
Answer: 4.75
Problem: <image>Find x.
Choices:
5.3
6
8
10
Answer: 10
Problem: <image>Find the measure of $∠A$ to the nearest tenth.
Choices:
11.3
11.5
78.5
78.7
Answer: 78.5
Problem: <image>Find $x$.
Choices:
71
75
109
143
Answer: 71
Problem: <image>Find the measure of $\angle P$
Choices:
61
71
106
122
Answer: 61
Problem: <image>If $a=10 \sqrt{3},$ find $C E$ 
Choices:
5 \sqrt 3
10
15
10 \sqrt 3
Answer: 15
Problem: <image>Find the measure of $\angle 3$.
Choices:
28
32
38
42
Answer: 42
Problem: <image>Find the area of the kite.
Choices:
40
60
80
120
Answer: 60
Problem: <image>Find the height of the parallelogram given its area with 100 square units.
Choices:
5
10
15
20
Answer: 5
Problem: <image>Find $SW$.
Choices:
4
8
12
16
Answer: 16
Problem: <image>In $\Delta G H J$, $H P=5 x-16$, $P J=3 x+8$, $m \angle G J N=6 y-3$, $m \angle N J H=4 y+23$ and $m \angle H M G=4 z+14$. If $\overline{HM}$ is an altitude of $∠GHJ$, find the value of $z$.
Choices:
16
17
18
19
Answer: 19
Problem: <image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
11
\sqrt { 297 }
27
297
Answer: \sqrt { 297 }
Problem: <image>Find $RS$.
Choices:
12
22
31
33
Answer: 31
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
2
3
4
5
Answer: 4
Problem: <image>Find x
Choices:
4
4 \sqrt { 3 }
8
6 \sqrt { 3 }
Answer: 4
Problem: <image>Find x.
Choices:
50
52
54
56
Answer: 52
Problem: <image>Find the perimeter of the given triangle $\triangle D E F,$ if $\triangle A B C \sim \triangle D E F, A B=5$, $B C=6, A C=7,$ and $D E=3$
Choices:
9.2
10.8
18
31.7
Answer: 10.8
Problem: <image>Find $m \angle K$.
Choices:
97
112
166
194
Answer: 97
Problem: <image>Find x.
Choices:
10
\sqrt { 141 }
12
7 \sqrt { 3 }
Answer: \sqrt { 141 }
Problem: <image>A square with 5-centimeter sides is inscribed in a circle. What is the circumference of the circle? Round your answer to the nearest
tenth of a centimeter.
Choices:
11.1
22.2
44.4
88.9
Answer: 22.2
Problem: <image>The radius of $\odot P$ is 5 and $P R=3$. Find QS
Choices:
3
5
6
8
Answer: 8
Problem: <image>Find x.
Choices:
4
2 \sqrt { 5 }
6
2 \sqrt { 13 }
Answer: 2 \sqrt { 13 }
Problem: <image>Find $y$ if $\triangle JLM \sim \triangle QST$.
Choices:
3
4
5
6
Answer: 4
Problem: <image>If $\triangle J K L \sim \triangle P Q R$ and the area of $\triangle J K L$ is
30 square inches, find the area of $\triangle P Q R$。
Choices:
19.2
24.0
37.5
46.9
Answer: 46.9
Problem: <image>Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26.
Find scale factor of trapezoid ABCD to trapezoid AEFG
Choices:
1.6
4.5
12
26
Answer: 1.6
Problem: <image>If TR = 8, LR = 3, and RW = 6, find WS.
Choices:
7
10
11
12
Answer: 10
Problem: <image>The diameters of $\odot A, \odot B,$ and $\odot C$ are $8$ inches, $18$ inches, and $11$ inches, respectively. Find $FB$.
Choices:
4
5
5.5
11
Answer: 5
Problem: <image>The segment is tangent to the circle. Find $x$.
Choices:
12
16
20
22
Answer: 20
Problem: <image>Find $x$.
Choices:
1
3
5
7
Answer: 3
Problem: <image>Find z.
Choices:
\sqrt { 285 }
\sqrt { 646 }
2 \sqrt { 285 }
2 \sqrt { 646 }
Answer: \sqrt { 646 }
Problem: <image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
19.6
46.8
66.3
113.1
Answer: 66.3
Problem: <image>$\overline{AB}$ and $\overline{CB}$ are tangent to $\odot D$. Find the value of $x$.
Choices:
10
15
20
25
Answer: 20
Problem: <image>Find the perimeter of the figure.
Choices:
8
16
32
64
Answer: 32
Problem: <image>If PR || KL, KN = 9, LN = 16, PM = 2 KP, find ML
Choices:
11
18
20
25
Answer: 20
Problem: <image>If KLMN is a parallelogram, find the value of the indicated variable. 
Find x
Choices:
4
5
12
26
Answer: 4
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
332.6
543.1
665.1
768
Answer: 665.1
Problem: <image>Use the figure to find the indicated variable. If $m \angle 4 = 2x - 17$ and $m \angle 1 = 85$, find $x$.
Choices:
51
56
61
85
Answer: 56
Problem: <image>For trapezoid QRST, M and P are midpoints of the legs. If QR = 16, PM = 12, and TS = 4x, find x.
Choices:
2
8
12
16
Answer: 2
Problem: <image>If $\overline{MS}$ is a median of $ \triangle MNQ$, $QS = 3a - 14$, $SN = 2a + 1$, and $m∠MSQ = 7a + 1$, find the value of $a$.
Choices:
13
14
15
16
Answer: 15
Problem: <image>Find the area of the quadrilateral.
Choices:
96
104
112
208
Answer: 104
Problem: <image>WXYZ is a kite. If $m\angle WXY = 13x + 24$, $m\angle WZY = 35$, and $m\angle ZWX = 13x + 14$, find $m\angle ZYX$.
Choices:
13
24
105
210
Answer: 105
Problem: <image>Find the value of $x$.
Choices:
35
36
70
180
Answer: 35
Problem: <image>Find $y$.
Choices:
9
10.4
12.7
15.6
Answer: 15.6
Problem: <image>The triangle is inscribed into the circle. Find the exact circumference of the circle.
Choices:
16 \pi
17 \pi
32 \pi
34 \pi
Answer: 17 \pi
Problem: <image>Find $XZ$ of isosceles $\triangle XYZ$
Choices:
7
8
12
16
Answer: 12
Problem: <image>Find the measure of $∠T$ to the nearest tenth.
Choices:
33.7
41.8
48.2
56.3
Answer: 33.7
Problem: <image>Find x to the nearest tenth.
Choices:
20
65
85
150
Answer: 150
Problem: <image>Find $CD$ if $AB=6, AF=8, BC=x, CD=y$, $DE=2y-3,$ and $FE=x+\frac{10}{3}$
Choices:
9
10
12
15
Answer: 9
Problem: <image>If $ABCDE \sim PQRST,$ find the perimeter of $PQRST$.
Choices:
22.5
25
27.5
30
Answer: 22.5
Problem: <image>Find $x$.
Choices:
84
107
130
158
Answer: 107
Problem: <image>Find x. Round to the nearest tenth.
Choices:
7.4
8.0
12.5
13.5
Answer: 8.0
Problem: <image>Find the perimeter of the triangle at the right. Assume that segments that appear to be tangent are tangent.
Choices:
29
38
58
76
Answer: 58
Problem: <image>WXYZ is a square. If $WT = 3$, find $ZX$
Choices:
3
5
6
9
Answer: 6
Problem: <image>In right triangle $ABC$ shown below, what is the measure of $∠ A$ to the nearest tenth of a degree?
Choices:
32.2
38.9
51.1
57.8
Answer: 38.9
Problem: <image>Find the measure of $AC$.
Choices:
19
30
38
76
Answer: 38
Problem: <image>Find x. Assume that any segment that appears to be tangent is tangent.
Choices:
4
7
20
28
Answer: 4
Problem: <image>If $\overline{GH} \cong \overline{HK}$, $\overline{HJ} \cong \overline{YK}$, and $m \angle GJK=100$, what is the measure of $\angle HGK$ ?
Choices:
10
15
20
25
Answer: 20
Problem: <image>Find x
Choices:
\sqrt { 15 }
6
\sqrt { 83 }
10
Answer: \sqrt { 15 }
Problem: <image>In the figure at the right, which cannot be true if $ m \parallel l $ and $ m ∠1 = 73 $?
Choices:
\angle 1 \cong \angle 4
\angle 3 \cong \angle 1
m \angle 2 + m \angle 3 = 180
m \angle 4 > 73
Answer: \angle 1 \cong \angle 4
Problem: <image>Find the exact circumference of each circle.
Choices:
2.5 \pi
15
5 \pi
10 \pi
Answer: 5 \pi
Problem: <image>Find the perimeter or circumference of the figure. Round to the nearest tenth.
Choices:
12
14
16
18
Answer: 16
Problem: <image>What is the value of x in the figure?
Choices:
19
23
26
28
Answer: 26
Problem: <image>Find $x$.
Choices:
7
8
9
10
Answer: 8
Problem: <image>Find $y$ in the figure.
Choices:
13
13.5
14
15
Answer: 15
Problem: <image>Find $m \angle 2$.
Choices:
28
38
52
62
Answer: 52
Problem: <image>Find y
Choices:
5
5 \sqrt { 2 }
10
10 \sqrt { 2 }
Answer: 5 \sqrt { 2 }
Problem: <image>Find $x$.
Choices:
22
28
32
36
Answer: 28
Problem: <image>$ABCD$ is a rhombus. If $PB = 12$, $AB = 15$, and $m\angle ABD = 24$.  Find $AP$
Choices:
9
14
56
97
Answer: 9
Problem: <image>$ABCD \sim QSRP$. Find $x$.
Choices:
34
63
82
83
Answer: 63
Problem: <image>In $\odot W$, $\widehat {RS} \cong \widehat {TV}$. Find $RS$.
Choices:
9
11
13
22
Answer: 11
Problem: <image>Quadrilateral ABCD is a rhombus. If $m\angle BCD = 120$, find $m\angle DAC$.
Choices:
30
60
90
120
Answer: 60
Problem: <image>Refer to the triangle shown below. Find $x$ to the nearest tenth.
Choices:
8
10
12.5
15
Answer: 10
Problem: <image>Find the area of the regular polygon. Round to the nearest tenth.
Choices:
24.5
49
98
392
Answer: 98
Problem: <image>The diameters of $\odot A, \odot B,$ and $\odot C$ are 10 inches,
20 inches, and 14 inches, respectively.
Find BY
Choices:
3
6
9
12
Answer: 3
Problem: <image>Find $y$ so that each quadrilateral is a parallelogram.
Choices:
22
44
88
128
Answer: 44
Problem: <image>Use parallelogram MNPR to find $m \angle NRP$
Choices:
33
38
71
109
Answer: 33
Problem: <image>Find $y$ in the figure.
Choices:
30
35
40
45
Answer: 40
Problem: <image>$MC=7,RM=4$, and $AT=16$. Find $SC$.
Choices:
10.5
12
13.5
21
Answer: 10.5
Problem: <image>Use the figure to find the indicated variable. Find $y$ if $m \angle 3 = 4y + 30$ and $m \angle 7 = 7y + 6$.
Choices:
8
9
10
12
Answer: 8
Problem: <image>Find $JK$.
Choices:
7
11
12
14
Answer: 14