Yuting6/Geo3k-augmentation huggingface dataset:
Problem: <image>Find the measure of the altitude drawn to the hypotenuse
Choices:
6
12
16
24
Answer: 12
Problem: <image>Find $m \angle 6$.
Choices:
30
49
53
85
Answer: 49
Problem: <image>Find the perimeter of the triangle.
Choices:
40.5
60.2
71.7
75.7
Answer: 71.7
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
374.5
431.1
692.5
749.1
Answer: 374.5
Problem: <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
46
92
184
420
Answer: 92
Problem: <image>Find the area of the figure. Round to the nearest hundredth, if necessary.
Choices:
4
8
16
32
Answer: 4
Problem: <image>Find $x$.
Choices:
40
60
80
100
Answer: 60
Problem: <image>Find $DB$.
Choices:
7.5
9.2
15
18.4
Answer: 9.2
Problem: <image>Find y
Choices:
\sqrt { 2 }
2
4
3 \sqrt { 2 }
Answer: 3 \sqrt { 2 }
Problem: <image>Find $x$ so that $ m \parallel n $.
Choices:
13
14
15
16
Answer: 16
Problem: <image>$\overline{PM}$ is a diameter of $\odot R$. Find $m \widehat {MNQ}$.
Choices:
115
225
265
295
Answer: 295
Problem: <image>Find $x$.
Choices:
10
20
30
40
Answer: 20
Problem: <image>For the pair of similar figures, find the area of the green figure.
Choices:
672
840
1313
1641
Answer: 672
Problem: <image>Find the angle measure of $\angle3$.
Choices:
38
52
90
180
Answer: 90
Problem: <image>Find $x$.
Choices:
96
156
162
174
Answer: 162
Problem: <image>$\triangle FGH$ is an equilateral triangle. Find $HG$.
Choices:
3
16
19
22
Answer: 19
Problem: <image>Find x. Round to the nearest tenth.
Choices:
17.7
36.6
57.7
66.0
Answer: 17.7
Problem: <image>$RP=3.5$ and $JP=9$. Find $PL$.
Choices:
3.5
4.5
7
9
Answer: 7
Problem: <image>In $\odot Z, \angle W Z X \cong \angle X Z Y, m \angle V Z U=4 x$, $m \angle U Z Y=2 x+24,$ and $\overline{V Y}$ and $\overline{W U}$ are diameters.
Find $m\widehat{W V}$
Choices:
14
24
76
104
Answer: 76
Problem: <image>Find the measure of $∠Z$ to the nearest tenth.
Choices:
31.0
36.9
53.1
59.0
Answer: 36.9
Problem: <image>In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠7$.
Choices:
47
49
58
73
Answer: 58
Problem: <image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.
Choices:
3
6
9
12
Answer: 6
Problem: <image>Find $x$.
Choices:
36
48
66
72
Answer: 48
Problem: <image>Find $x$. A = 153 in$^2$.
Choices:
15
17
19
21
Answer: 17
Problem: <image>Find $x$ in the figure.
Choices:
15
34
39.5
142
Answer: 34
Problem: <image>Find x.
Choices:
\frac { 5 } { 14 } \sqrt { 19 }
\frac { 15 } { 14 } \sqrt { 19 }
5
14
Answer: \frac { 15 } { 14 } \sqrt { 19 }
Problem: <image>In the figure, $m∠4 = 104$, $m∠14 = 118$. Find the measure of $\angle 7$.
Choices:
66
76
104
118
Answer: 76
Problem: <image>Find $m\angle E$
Choices:
78
102
103
134
Answer: 78
Problem: <image>Find the measure of $\angle 4$ if $\overline{AB} \perp \overline{BC}$.
Choices:
36
38
40
42
Answer: 40
Problem: <image>Find x. Round the side measure to the nearest tenth.
Choices:
13.1
14.9
38.5
44.0
Answer: 14.9
Problem: <image>Solve for x in parallelogram RSTU.
Choices:
12
18
25
30
Answer: 30
Problem: <image>Find $\angle 2$
Choices:
47
65
112
177
Answer: 47
Problem: <image>$ABCD$ is a rhombus. If $PB = 12$, $AB = 15$, and $m\angle ABD = 24$. Find $m\angle ACB$
Choices:
15
24
27
66
Answer: 66
Problem: <image>Use parallelogram JKLM to find $m \angle JML$ if $J K=2 b+3$ and $J M=3 a$.
Choices:
30
70
80
100
Answer: 80
Problem: <image>Find x.
Choices:
\sqrt { 3 }
\sqrt { 6 }
3
6
Answer: 3
Problem: <image>If $m\angle ZXW = x - 11$ and $m \angle WZX = x - 9$, find $m\angle ZXY$.
Choices:
24
46
48
96
Answer: 46
Problem: <image>Find $y$ so that the quadrilateral is a parallelogram
Choices:
5
10
12
50
Answer: 5
Problem: <image>In $\triangle CDF$, $K$ is the centroid and $DK=16$. Find $FG$.
Choices:
8
9
12
18
Answer: 18
Problem: <image>Find y.
Choices:
13
14
15
16
Answer: 15
Problem: <image>In rhombus $A B C D, A B=2 x+3$ and $B C=5 x$. Find $m \angle B C D$ if $m \angle A B C=83.2$
Choices:
83.2
86.8
93.2
96.8
Answer: 96.8
Problem: <image>Find $XY$.
Choices:
21
24
33
42
Answer: 21
Problem: <image>Solve for x in the figure below.
Choices:
1.75
2
2.375
4.75
Answer: 4.75
Problem: <image>Find x.
Choices:
9
10
11
12
Answer: 12
Problem: <image>Find the measure of $\angle 2$.
Choices:
25
30
35
40
Answer: 25
Problem: <image>Find $a$.
Choices:
12
12.5
15
17.5
Answer: 15
Problem: <image>Each pair of polygons is similar. Find CE
Choices:
1.3
5.4
6
11.4
Answer: 11.4
Problem: <image>Find $y$.
Choices:
12
13
14
15
Answer: 13
Problem: <image>Find z 
Choices:
2 \sqrt { 3 }
2 \sqrt { 6 }
4 \sqrt { 3 }
4 \sqrt { 6 }
Answer: 4 \sqrt { 3 }
Problem: <image>If $a ∥ b$ in the diagram below, which of the following may not be true?
Choices:
\angle 1 \cong \angle 3
\angle 2 \cong \angle 5
\angle 4 \cong \angle 7
\angle 8 \cong \angle 2
Answer: \angle 8 \cong \angle 2
Problem: <image>If $\overline{K H}$ is parallel to $\overline{JI}$, find the measure of  $\angle 2$
Choices:
36
54
56
67
Answer: 54
Problem: <image>In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 5$. 
Choices:
49
59
69
79
Answer: 49
Problem: <image>Use parallelogram MNPR to find $m \angle MQN$
Choices:
83
97
103
107
Answer: 97
Problem: <image>Find $x$.
Choices:
2
3
4
5
Answer: 4
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 $m \angle H M G=4 z+14$. Find $m∠GJH$ if $\overline{JN}$ is an angle bisector.
Choices:
60
90
120
150
Answer: 150
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
261
312
471
522
Answer: 261
Problem: <image>Find the exact circumference of the circle.
Choices:
17 \pi
30 \pi
34 \pi
64 \pi
Answer: 34 \pi
Problem: <image>If QRST is a parallelogram, find $y$
Choices:
5.4
9
11
22
Answer: 9
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
2511
3348
4185
5022
Answer: 4185
Problem: <image>Find $x$.
Choices:
5
7
8
12
Answer: 5
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
144.2
153
176.7
288.5
Answer: 153
Problem: <image>Find y in the parallelogram
Choices:
8
15
16
32
Answer: 8
Problem: <image>If $b=18,$ find $a$ 
Choices:
9
6 \sqrt { 3 }
9 \sqrt { 3 }
12 \sqrt { 3 }
Answer: 6 \sqrt { 3 }
Problem: <image>Use parallelogram to  find $a$
Choices:
1
2
3
4
Answer: 2
Problem: <image>What is $m∠EFG$?
Choices:
35
70
90
110
Answer: 70
Problem: <image>If PR || KL, KN = 9, LN = 16, PM = 2 KP, find KM
Choices:
11
15
16.25
17
Answer: 15
Problem: <image>Find $\angle 4$
Choices:
45
60
75
120
Answer: 60
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
150
259.9
300
519.6
Answer: 259.9
Problem: <image>Find x
Choices:
\sqrt { 6 }
\sqrt { 6 }
4
4 \sqrt { 6 }
Answer: 4 \sqrt { 6 }
Problem: <image>Find the area of the triangle. Round to the nearest hundredth.
Choices:
1.70
2.76
3.40
6.80
Answer: 3.40
Problem: <image>Find ST
Choices:
32 / 2
\frac { 50 } { 3 }
17
18
Answer: \frac { 50 } { 3 }
Problem: <image>$H$ is the incenter of $\triangle ABC$. Find $m \angle HAC$.
Choices:
25
28
30
32
Answer: 32
Problem: <image>Find the length of $FG$
Choices:
17
35
39
45
Answer: 39
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  Atlanta to Des Moines if the total trip was 3482 miles.
Choices:
73.8
110
150
738
Answer: 738
Problem: <image>Find the measure of $\angle 8$ if $\overline{A B} \perp \overline{B C}$.
Choices:
14
15
16
17
Answer: 14
Problem: <image>Use parallelogram NQRM to find x
Choices:
4
12
14
29
Answer: 4
Problem: <image>Find $PW$, if $XZ = 18$ and $PY = 3$
Choices:
3
6
15
18
Answer: 15
Problem: <image>Find $m\angle U$
Choices:
44
46
54
134
Answer: 134
Problem: <image>Find $m \angle S$.
Choices:
27
35.5
54
71
Answer: 54
Problem: <image>If XN = t - 2, NZ = t + 1, XM = 2, and XY = 10, solve for t
Choices:
3
4
5
8
Answer: 3
Problem: <image>Find $m \angle 1$.
Choices:
20
40
65
95
Answer: 65
Problem: <image>According to the Perpendicular Bisector Theorem, what is the length of segment AB below?
Choices:
2.5
3.0
4.0
5.0
Answer: 2.5
Problem: <image>If $AB=6,BC=4$, and $AE=9$, find $ED$.
Choices:
4
6
9
12
Answer: 6
Problem: <image>Find $m \angle C$.
Choices:
40
49
80
98
Answer: 49
Problem: <image>In $\odot Z, \angle W Z X \cong \angle X Z Y, m \angle V Z U=4 x$, $m \angle U Z Y=2 x+24,$ and $\overline{V Y}$ and $\overline{W U}$ are diameters.
Find $m\widehat{U Y}$
Choices:
14
24
76
104
Answer: 76
Problem: <image>Find y.
Choices:
\frac { 6 } { 5 }
\frac { 12 } { 5 }
\frac { 6 } { 5 } \sqrt { 11 }
\frac { 12 } { 5 } \sqrt { 11 }
Answer: \frac { 12 } { 5 } \sqrt { 11 }
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  $m \angle Y Z V$
Choices:
18
37
53
90
Answer: 37
Problem: <image>Find $D C$ if $\overline{D G}$ and $\overline{J M}$ are altitudes and $\triangle K J L \sim \triangle E D C$
Choices:
2
4
6
8
Answer: 4
Problem: <image>Find the perimeter of trapezoid PQRS..
Choices:
38
38 + 6 \sqrt { 2 }
38 + 6 \sqrt { 3 }
38 + 6 \sqrt { 2 } + 6 \sqrt { 3 }
Answer: 38 + 6 \sqrt { 2 } + 6 \sqrt { 3 }
Problem: <image>In $\odot F$, $\overline{AB} \cong \overline{BC}$, $DF=3x-7$, and $FE=x+9$. What is $x$?
Choices:
4
7
8
9
Answer: 8
Problem: <image>Find $TR$.
Choices:
2
4
5
8
Answer: 4
Problem: <image>Find $y$ in the given parallelogram
Choices:
8
11
15
19
Answer: 15
Problem: <image>Use parallelogram JKLM to find b if $J K=2 b+3$ and $J M=3 a$.
Choices:
7
14
21
45
Answer: 21
Problem: <image>Find $m \widehat {VX}$.
Choices:
28
71
152
166
Answer: 152
Problem: <image>Find $x$.
Choices:
3
4
5
6
Answer: 3
Problem: <image>Find $m \angle W$
Choices:
31
62
108
124
Answer: 62
Problem: <image>In the figure, $m ∠1 = 53$. Find the measure of $∠6$.
Choices:
53
57
63
67
Answer: 53
Problem: <image>Find y.
Choices:
\frac { 3 } { 2 }
2
\frac { 3 } { 2 } \sqrt { 3 }
2 \sqrt { 3 }
Answer: \frac { 3 } { 2 }
Problem: <image>Find x
Choices:
22.1
23.4
26.3
28.2
Answer: 28.2
Problem: <image> $m \widehat{G H}=78$ Find $m\angle 1$
Choices:
39
78
98
114
Answer: 39
Problem: <image>Find $x$.
Choices:
130
150
170
190
Answer: 170
Problem: <image>Quadrilateral ABCD is shown. AC is 40 and BD is $\frac{3}{5}$ AC . BD bisects AC. For what value of $x$ is ABCD a parallelogram.
Choices:
0.6
2.4
4
40
Answer: 4
Problem: <image>Find y
Choices:
4.8
4.8 \sqrt { 2 }
9.6
9.6 \sqrt { 2 }
Answer: 9.6 \sqrt { 2 }
Problem: <image>Find $x$.
Choices:
7
8
11
13
Answer: 8
Problem: <image>Find $\angle 3$
Choices:
100
110
120
220
Answer: 110
Problem: <image>Find $m\angle Y$
Choices:
18
36
72
144
Answer: 72
Problem: <image>Solve for x in the figure below.
Choices:
4
5
6
7
Answer: 7
Problem: <image>Find the area of the quadrilateral.
Choices:
405
499.5
684.5
999
Answer: 499.5
Problem: <image>Find $m \widehat {TS}$.
Choices:
108
126
132
144
Answer: 144
Problem: <image>Find $BD$.
Choices:
3
4
5
6
Answer: 5
Problem: <image>Find the length of $AB$ in the isosceles triangle $ABC$. 
Choices:
1.5
7
11
12.5
Answer: 12.5
Problem: <image>Find x. Round to the nearest degree.
Choices:
43
53
63
73
Answer: 63
Problem: <image>Find $m \angle DH$.
Choices:
81
99
136
162
Answer: 162
Problem: <image>Find $m \angle 1$ in the figure.
Choices:
37
107
110
143
Answer: 107
Problem: <image>Find $m \angle H$.
Choices:
93
97
106
116
Answer: 106
Problem: <image>Find the variable of $q$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
6.0
7.0
8.0
9.0
Answer: 9.0
Problem: <image>Find x
Choices:
1.5
2
3
4
Answer: 2
Problem: <image>$UJ=9, VJ=3$, and $ZT=18$. Find $JT$.
Choices:
3
6
9
12
Answer: 6
Problem: <image>Find $z$ in the figure.
Choices:
27
73
89
153
Answer: 73
Problem: <image>Find x.
Choices:
6
6 \sqrt { 3 }
12
18
Answer: 6
Problem: <image>Find $x$.
Choices:
46.5
87
93
105
Answer: 93
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
10
20
45
110
Answer: 10
Problem: <image>Find $m \angle 3$.
Choices:
15
16
18
20
Answer: 16
Problem: <image>Find $CB$.
Choices:
2
3
4
55
Answer: 3
Problem: <image>Solve for x in the figure.
Choices:
8
9
10
12
Answer: 8
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  $AB$ if $AR=3x+6$ and $RB = 5x - 14 $.
Choices:
66
68
70
72
Answer: 72
Problem: <image>Find the area of the quadrilateral.
Choices:
120
240
360
480
Answer: 240
Problem: <image>Circle $W$ has a radius of 4 units, $\odot Z$ has a radius of 7 units, and $X Y=2 .$ Find $I C$
Choices:
5
10
15
20
Answer: 20
Problem: <image>Find y.
Choices:
15
16
18
20
Answer: 15
Problem: <image>in $\triangle XYZ$, $P$ is the centroid, $KP=3$, and $XJ=8$. Find $XK$.
Choices:
3
6
8
9
Answer: 9
Problem: <image>In $\odot F$, $GK=14$ and $m \widehat{GHK}=142$. Find $m \widehat {GH}$.
Choices:
38
71
76
142
Answer: 71
Problem: <image>In the figure, $m∠8 = 96$ and $m∠12 = 42$. Find the measure of $\angle 9$.
Choices:
42
84
94
96
Answer: 84
Problem: <image>Find $m \angle DBA$.
Choices:
17
22
32
39
Answer: 17
Problem: <image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.
Choices:
6
9.6
12
13.2
Answer: 13.2
Problem: <image>Find $HK$.
Choices:
10
12
15
20
Answer: 10
Problem: <image>Find the measure of $\angle 1$.
Choices:
68
70
70
82
Answer: 70
Problem: <image>$A B C D$ is a rectangle. If $A C=30-x$ and $B D=4 x-60$
find $x$
Choices:
2
9
18
36
Answer: 18
Problem: <image>$\triangle K L N$ and $\triangle L M N$ are isosceles and $m \angle J K N=130$. Find the measure of $\angle M$.
Choices:
110
120
130
140
Answer: 140
Problem: <image>$ACDF \sim VWYZ$. Find $x$.
Choices:
9
10
12
15
Answer: 15
Problem: <image>Find y in the figure.
Choices:
35
40
45
50
Answer: 45
Problem: <image>Find $x$.
Choices:
4
6
8
10
Answer: 8
Problem: <image>Find the variable of $b$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
11.3
11.8
12.3
12.8
Answer: 11.3
Problem: <image>Each pair of polygons is similar. Find x
Choices:
29
55.3
71.05
78
Answer: 71.05
Problem: <image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
7
8
9
10
Answer: 10
Problem: <image>Find x in the figure.
Choices:
12
16
20
32
Answer: 16
Problem: <image>Find the area of the triangle.
Choices:
167.2
207.6
334.4
415.2
Answer: 167.2
Problem: <image>Find $JN$ if $\triangle JMN$ is an isosceles triangle with $\overline{JM} \cong \overline{M N}$.
Choices:
2
3
4
5
Answer: 2
Problem: <image>Find x.
Choices:
8
10
12
14
Answer: 14
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 { 3 } { 4 }
\frac { \sqrt { 3 } } { 2 }
\frac { 2 } { \sqrt { 3 } }
\frac { 4 } { 3 }
Answer: \frac { \sqrt { 3 } } { 2 }
Problem: <image>Triangle $JKL$ is circumscribed about $\odot R$. Find $x$.
Choices:
3
4
7
9
Answer: 4
Problem: <image>If $m \angle 2=70-4 x$ and $m \angle 5=18 x-8,$ find $m \angle 5$
Choices:
2
28
62
72
Answer: 28
Problem: <image>WXYZ is a square. If $WT = 3$, find $m \angle WTZ$
Choices:
15
30
45
90
Answer: 90
Problem: <image>Find $\angle 7$
Choices:
41
82
98
186
Answer: 98
Problem: <image>Find x.
Choices:
3
3 \sqrt { 2 }
3 \sqrt { 3 }
6 \sqrt { 2 }
Answer: 3 \sqrt { 2 }
Problem: <image>In $\triangle A B C, \overline{B D}$ is a median. If $A D=3 x+5$ and $C D=5 x-1$, find  AC .
Choices:
3
11
14
28
Answer: 28
Problem: <image>Find y. Round to the nearest tenth.
Choices:
18.8
23.2
25.9
44.0
Answer: 25.9
Problem: <image>Each pair of polygons is similar. Find x.
Choices:
60
87
91
98
Answer: 91
Problem: <image>$∠6$ and $∠8$ are complementary, $m∠8 = 47$. Find the measure of $\angle 6$.
Choices:
43
47
86
90
Answer: 43
Problem: <image>Find the measure of $∠A$ to the nearest tenth.
Choices:
16.7
17.5
72.5
73.3
Answer: 16.7
Problem: <image>Find x.
Choices:
2 \sqrt { 3 }
3 \sqrt { 3 }
5 \sqrt { 3 }
6 \sqrt { 3 }
Answer: 6 \sqrt { 3 }
Problem: <image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
8
8 \sqrt { 2 }
16
16 \sqrt { 2 }
Answer: 8 \sqrt { 2 }
Problem: <image>Find $m \widehat {RQS}$ if $m \widehat{QTS}=238$.
Choices:
29
61
83
119
Answer: 61
Problem: <image>Find x
Choices:
30
37.5
45
90
Answer: 45
Problem: <image>$J$ is the incenter of $\angle ABC$. Find $JF$.
Choices:
9
12
15
32
Answer: 9
Problem: <image>Find $x$ so that each quadrilateral is a parallelogram.
Choices:
1
2
4
5
Answer: 1
Problem: <image>If $\overline{PQ} \cong \overline{UQ}$ and $ m ∠ P = 32 $, find $ m ∠PUQ $.
Choices:
32
74
79
116
Answer: 32
Problem: <image>Find y
Choices:
6
9
12
12 \sqrt { 2 }
Answer: 12 \sqrt { 2 }
Problem: <image>Find $x$.
Choices:
3
4
6
7
Answer: 4
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
40
80
120
160
Answer: 80
Problem: <image>Find $x$.
Choices:
8
9
12
15
Answer: 12
Problem: <image>Quadrilateral DEFG is a rectangle. If DE = 14 + 2x and GF = 4(x - 3) + 6, find GF.
Choices:
15
28
34
40
Answer: 34
Problem: <image>Find x.
Choices:
5
7.5
10
12.5
Answer: 5
Problem: <image>Find $x$.
Choices:
3
5
6
8
Answer: 5
Problem: <image>Find the perimeter of each polygon for the given information.
$B Y=C Z=A X=2.5$
diameter of $\odot G=5$
Choices:
15
20
15 \sqrt { 3 }
30
Answer: 15 \sqrt { 3 }
Problem: <image>Solve for x in the figure.
Choices:
2
3
4
6
Answer: 4
Problem: <image>Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26.
Find BC
Choices:
4.5
12
12.8
100
Answer: 12.8
Problem: <image>If $x=7 \sqrt{3},$ find $y$
Choices:
7
7 \sqrt { 3 }
21 \sqrt { 3 }
63
Answer: 21 \sqrt { 3 }
Problem: <image>The segment is tangent to the circle. Find $x$.
Choices:
7
8
9
10
Answer: 9
Problem: <image>In the figure, $m∠1 = 123$. Find the measure of $\angle 16$.
Choices:
47
57
67
123
Answer: 57
Problem: <image>$\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {CD}$.
Choices:
35
45
55
65
Answer: 55
Problem: <image>Find $BC$.
Choices:
5
8
10
12
Answer: 10
Problem: <image>In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠4$.
Choices:
75
97
107
117
Answer: 107
Problem: <image>$\overline{HK}$ and $\overline{IG}$ are diameters of $\odot L$. Find $m \widehat {HI}$.
Choices:
31
59
65
135
Answer: 59
Problem: <image>Triangle $JKL$ is circumscribed about $\odot R$. Find the perimeter of $\triangle JKL$.
Choices:
38
52
54
74
Answer: 52
Problem: <image>In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 7$.
Choices:
110
120
130
140
Answer: 110
Problem: <image>RSTV is a trapezoid with bases $\overline{R V}$ and $\overline{S T}$ and median $\overline{M N}$. Find $x$ if $M N=60, S T=4 x-1,$ and $R V=6 x+11$
Choices:
11
44
60
77
Answer: 11
Problem: <image>Find y.
Choices:
5
5 \sqrt { 2 }
5 \sqrt { 3 }
10
Answer: 10
Problem: <image>Find $XY$.
Choices:
3.5
7
34
41
Answer: 7
Problem: <image>Find $x$.
Choices:
5
6
7
8
Answer: 7
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:
10.6
15.2
15.6
18.1
Answer: 10.6
Problem: <image>Find x. Round the angle measure to the nearest degree
Choices:
108
112
116
120
Answer: 112
Problem: <image>Find $y$ so that the quadrilateral is a parallelogram.
Choices:
7
14
15
21
Answer: 7
Problem: <image>Find $m \angle 2$.
Choices:
26
39
55
62
Answer: 39
Problem: <image>Find $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
2
3
4
5
Answer: 4
Problem: <image>Find $m \angle 3$.
Choices:
37.5
52.5
105
133
Answer: 133
Problem: <image>Find the area of the shaded sector. Round to the nearest tenth.
Choices:
32.7
39.3
114.6
153.9
Answer: 39.3
Problem: <image>Circles $G, J,$ and $K$ all intersect at $L$ If $G H=10,$ find JK
Choices:
2.5
5
10
15
Answer: 2.5
Problem: <image>Quadrilateral WXYZ is a rectangle. If $XW = 3$, $WZ = 4$, and $XZ = b$, find $YW$. 
Choices:
3
4
5
6
Answer: 5
Problem: <image>Find y.
Choices:
1.5
2
2.5
3
Answer: 1.5
Problem: <image>Find $y$ so that each quadrilateral is a parallelogram.
Choices:
2
3
6
12
Answer: 6
Problem: <image>Find $y$.
Choices:
9
11
12
20
Answer: 11
Problem: <image>Find the perimeter of the figure. Round to the nearest hundredth, if necessary.
Choices:
32
33.8
35.4
37.9
Answer: 37.9
Problem: <image>Find $m \widehat {GJF}$.
Choices:
82
164
196
216
Answer: 196
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 $m\widehat{A D C}$
Choices:
90
135
180
270
Answer: 270
Problem: <image>If $SP=4, PT=6$, and $QR=12$, find $SQ$.
Choices:
4
6
8
12
Answer: 8
Problem: <image>Find x.
Choices:
4
2 \sqrt { 5 }
2 \sqrt { 6 }
2 \sqrt { 10 }
Answer: 2 \sqrt { 10 }
Problem: <image>Find $m \angle 5$.
Choices:
95
100
110
115
Answer: 110
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 { 25 } { 36 }
\frac { 5 } { 6 }
\frac { 6 } { 5 }
\frac { 36 } { 25 }
Answer: \frac { 6 } { 5 }
Problem: <image>Find z
Choices:
17
20
21
25
Answer: 25
Problem: <image>Find the area of the shaded region. Round to the nearest tenth if necessary.
Choices:
75.0
108.5
118.1
127.7
Answer: 108.5
Problem: <image>Find $x$ in $\triangle P Q R$
Choices:
2 \sqrt { 3 }
2 \sqrt { 6 }
4 \sqrt { 3 }
4 \sqrt { 6 }
Answer: 2 \sqrt { 6 }
Problem: <image>Find the area of the kite.
Choices:
72
80
88
96
Answer: 72
Problem: <image>ABCD is a rhombus. If EB = 9, AB = 12 and $m\angle ABD = 55$ . Find CE
Choices:
\sqrt { 63 }
\sqrt { 70 }
9
12
Answer: \sqrt { 63 }
Problem: <image>ABCD is a rhombus. If EB = 9, AB = 12 and $m\angle ABD = 55$ . Find $m\angle ACB$
Choices:
9
12
21
35
Answer: 35
Problem: <image>Find $AB$.
Choices:
11
15
26
29
Answer: 29
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 { 16 } { 25 }
\frac { 4 } { 5 }
\frac { 5 } { 4 }
\frac { 25 } { 16 }
Answer: \frac { 4 } { 5 }
Problem: <image>If $LN=12.4$, what is $JM$?
Choices:
3.1
6.2
9.3
12.4
Answer: 6.2
Problem: <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 value of $x$.
Choices:
3.6
6
16.7
27.8
Answer: 6
Problem: <image>Use parallelogram ABCD to find $m \angle BCF $
Choices:
34
49
54
83
Answer: 49
Problem: <image>Quadrilateral DEFG is a rectangle. If $DF = 2(x + 5) - 7$ and $EG = 3(x - 2)$, find EG.
Choices:
6.5
10
21
30
Answer: 21
Problem: <image>Find the measure of $\angle D$
Choices:
46
92
110
143
Answer: 46
Problem: <image>Each pair of polygons is similar. Find BC
Choices:
6.25
8
10
12
Answer: 8
Problem: <image>$m∠19 = 100 + 20x$, $m∠20 = 20x $. Find the measure of $\angle 20$.
Choices:
20
40
60
80
Answer: 40
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
30
50
60
156
Answer: 60
Problem: <image>Find x
Choices:
3
4
5
6
Answer: 3
Problem: <image>Find x
Choices:
3
3 \sqrt { 2 }
6
6 \sqrt { 2 }
Answer: 3
Problem: <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
19.2
38.4
70.0
76.8
Answer: 38.4
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 $\angle W$
Choices:
62
72
108
118
Answer: 72
Problem: <image>Find x. Round the angle measure to the nearest degree
Choices:
68
72
76
80
Answer: 72
Problem: <image>Use parallelogram to find $b$
Choices:
2
3
14
17
Answer: 3
Problem: <image>$\overline{RS}$ bisects $\angle VRU$. Solve for $x$.
Choices:
5.6
7
8
10
Answer: 10
Problem: <image>$m$ is the perpendicular bisector of $XZ$, $WZ=4a-15$ and $WZ=a+12$. Find $WX$.
Choices:
12
15
21
22.4
Answer: 21
Problem: <image>Find $x$.
Choices:
3
4
7
12
Answer: 7
Problem: <image>Use parallelogram $JKLM$ to find JK
Choices:
4.5
6
10
12
Answer: 6
Problem: <image>Find the measure of $XT$.
Choices:
3.5
7
14
28
Answer: 7
Problem: <image>Find the area of the figure.
Choices:
16
32
64
128
Answer: 64
Problem: <image>Find x
Choices:
33
51
84
117
Answer: 117
Problem: <image>Find the value of x.
Choices:
30
90
110
130
Answer: 130
Problem: <image>Find the value of the variable $x$ in the figure.
Choices:
42
47
48
96
Answer: 42
Problem: <image>Find x. Round the angle measure to the nearest degree.
Choices:
43
48
53
58
Answer: 48
Problem: <image>Each pair of polygons is similar. Find y
Choices:
12
14
20
88
Answer: 14
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:
54.4
97.6
108.8
184.2
Answer: 54.4
Problem: <image>Find x
Choices:
20
42
52
84
Answer: 20
Problem: <image>If $m \angle S=3x$ and $m \angle V=x+16$, find $m \angle S$.
Choices:
16
24
32
48
Answer: 24
Problem: <image>Find the area of the figure. Round to the nearest tenth.
Choices:
189
231
294
336
Answer: 231
Problem: <image>Find the exact circumference of $\odot P$
Choices:
13
12 \pi
40.84
13 \pi
Answer: 13 \pi
Problem: <image>Find $m\angle A$
Choices:
112
118
120
122
Answer: 122
Problem: <image>If $AD=27,AB=8$, and $AE=12$, find $BC$.
Choices:
8
10
12
13.5
Answer: 10
Problem: <image>Find y.
Choices:
10
20
10 \sqrt { 6 }
30
Answer: 20
Problem: <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
10
13.7
14.9
16
Answer: 13.7
Problem: <image>Find y.
Choices:
\frac { \sqrt { 3 } } { 3 }
1
\sqrt { 3 }
3
Answer: 1
Problem: <image>Quadrilateral $ABDC$  is a rectangle. Find $m \angle 6$ if $ m\angle 1 = 38$.
Choices:
38
52
108
132
Answer: 38
Problem: <image>Find the area of the figure. Round to the nearest tenth.
Choices:
1.2
3.5
8.6
10.2
Answer: 3.5
Problem: <image>Find the area of the shaded region formed by the circle and regular polygon. Round to the nearest tenth.
Choices:
0.7
2.5
6.6
15.0
Answer: 2.5
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
15
21
36
72
Answer: 36
Problem: <image>$P$ is the incenter of $\angle XYZ$. Find $PK$.
Choices:
8
12
16
20
Answer: 16
Problem: <image> $m \widehat{G H}=78$ Find $m\angle 2$
Choices:
39
51
78
114
Answer: 51
Problem: <image>If $ABCDE \sim PQRST,$ find the perimeter of $ABCDE$.
Choices:
22.5
27.5
30
35
Answer: 30
Problem: <image>Find x
Choices:
59
117
125
342
Answer: 59
Problem: <image>If $\overline{E C}$ is an altitude of $\triangle A E D, m \angle 1=2 x+7,$ and $m \angle 2=3 x+13,$ find $m \angle 2$.
Choices:
25
35
45
55
Answer: 55
Problem: <image>Find $m \angle C$.
Choices:
80
100
112
122
Answer: 122
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
3
6
8
10
Answer: 10
Problem: <image>Find $x$.
Choices:
5
7
8
10
Answer: 7
Problem: <image>Find x so that $GJ \parallel FK$. $H J=x-5, J K=15, F G=18, H G=x-4

Choices:
10
12
15
18
Answer: 10
Problem: <image>Find y
Choices:
\sqrt { 29 }
\sqrt { 31 }
\sqrt { 33 }
\sqrt { 35 }
Answer: \sqrt { 33 }
Problem: <image>Find x
Choices:
4 \sqrt { 29 }
25
33
\sqrt { 1714 }
Answer: 4 \sqrt { 29 }
Problem: <image>Find $m \angle 1$.
Choices:
39
55
62
83
Answer: 62
Problem: <image>Find $x$ so that each quadrilateral is a parallelogram.
Choices:
4
8
16
24
Answer: 8
Problem: <image>For the pair of similar figures, find the area of the green figure.
Choices:
15
30
120
240
Answer: 240
Problem: <image>Find tanB
Choices:
3
5
8
10
Answer: 5
Problem: <image>For trapezoid QRST, M and P are midpoints of the legs. If TS = 2x, PM = 20, and QR = 6x, find x.
Choices:
5
10
15
30
Answer: 5
Problem: <image>For trapezoid QRTU, V and S are midpoints of the legs. If TU = 26 and SV = 17, find QR.
Choices:
8
12
20
34
Answer: 8
Problem: <image>Find the value of x.
Choices:
65
90
95
110
Answer: 95
Problem: <image>Find $y$ so that $\overline{BE}$ and $\overline{AD}$ are perpendicular.
Choices:
6.7
8.3
10
90
Answer: 8.3
Problem: <image>Find x. Round to the nearest tenth if necessary.
Choices:
2
3
6
9
Answer: 2
Problem: <image>Find $y$ in the figure.
Choices:
31
45
56
75
Answer: 45
Problem: <image>Each triangle in the figure is a $45^{\circ}-45^{\circ}-90^{\circ}$ triangle. Find $x$.
Choices:
\frac { 3 } { 2 }
\frac { 3 } { 2 } \sqrt { 2 }
3
3 \sqrt { 2 }
Answer: \frac { 3 } { 2 }