images
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| problem
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| answer
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|---|---|---|
<image>Find $m \angle 1$.
|
108
|
|
<image>Find $AB$.
|
4.1
|
|
<image>Find $RS$ if $\triangle QRS$ is an equilateral triangle.
|
2
|
|
<image>If two sides of a triangle measure 12 and 7, which of the following cannot be the perimeter of the triangle?
|
38
|
|
<image>Find the area of the triangle. Round to the nearest hundredth.
|
7.51
|
|
<image>$\overline{AB}$ is a diameter, $AC=8$ inches, and $BC=15$ inches. Find the radius of the circle.
|
8.5
|
|
<image>Find $m \angle 1$.
|
70
|
|
<image>Find $w$ in the given parallelogram
|
5
|
|
<image>Find $x$.
|
\frac { 5 } { 3 }
|
|
<image>Find y
|
5
|
|
<image>If $\triangle L M N \sim \triangle Q R S, Q R=35, R S=37, S Q=12$, and $N L=5$, find the perimeter of $\triangle L M N$.
|
35
|
|
<image>Find the measure of $\angle 7$ if $m∠4= m∠5$.
|
89
|
|
<image>$\overline{XY}$ and $\overline{XZ}$ are midsegments of $\triangle RST$. Find $ST$.
|
14
|
|
<image>If $m∠5 = 7x - 5$ and $m∠4 = 2x + 23$, find $x$.
|
18
|
|
<image>Find the measure of $\angle 2$.
|
76
|
|
<image>Use parallelogram ABCD to find $m\angle ACD$
|
29
|
|
<image>Find $CD$ if $AC=x-3$, $BE=20, AB=16,$ and $CD=x+5$
|
40
|
|
<image>$UJ=9, VJ=3$, and $ZT=18$. Find $SV$.
|
9
|
|
<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 $m\widehat{A E}$
|
90
|
|
<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 $m \angle PXR=2 a+10$. If $\overline{RZ}$ is an angle bisector, find $m∠PRZ$.
|
35
|
|
<image>Which segments are parallel?
|
A D and B E
|
|
<image>Use parallelogram MNPR to find $m \angle RMN$
|
109
|
|
<image>If WXYZ is a kite, find WP
|
\sqrt { 20 }
|
|
<image>Find x.
|
17
|
|
<image>In the figure below, $∠ABC$ is intersected by parallel lines $l$ and $m$. What is the measure of $∠ABC$? Express your answer in degrees.
|
71
|
|
<image>Find z
|
6
|
|
<image>If DB = 24, AE = 3, and EC = 18, find AD
|
4
|
|
<image>Find the measure of $m∠1$.
|
109
|
|
<image>In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 6$.
|
70
|
|
<image>Find $x$.
|
35
|
|
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
|
50
|
|
<image>Use parallelogram ABCD to find $m\angle DAC$
|
72
|
|
<image>In the figure, $m∠1 = 123$. Find the measure of $\angle 14$.
|
57
|
|
<image>Use parallelogram $JKLM$ to find $m \angle JKL$.
|
80
|
|
<image>Refer to the figure at the right. Find y.
|
6.75
|
|
<image>Find the area of the figure. Round to the nearest tenth if necessary.
|
95
|
|
<image>Find $x$.
|
6
|
|
<image>For the pair of similar figures, use the given areas to find $x$.
|
16
|
|
<image>Find x.
|
8
|
|
<image>Find $a,$ if $F G=18, G H=42,$ and $F K=15$
|
57
|
|
<image>Find the area of the figure. Round to the nearest tenth if necessary.
|
22.1
|
|
<image>Find PT
|
\frac { 20 } { 3 }
|
|
<image>Find $GD$.
|
14
|
|
<image>Find the area of the regular polygon figure. Round to the nearest tenth.
|
101.8
|
|
<image>Find x
|
120
|
|
<image>Find y.
|
45
|
|
<image>Find the area of the rhombus.
|
168
|
|
<image>Find $AB$ if $\triangle ABC$ is an isosceles triangle with $\overline{AB} \cong \overline{BC}$.
|
7
|
|
<image>Find x. Round the side measure to the nearest tenth.
|
69.8
|
|
<image>Circle $J$ has a radius of $10$ units, $\odot K$ has a radius of $8$ units, and $BC=5.4$ units. Find $JK$.
|
12.6
|
|
<image>The perimeter of this polygon is 60 centimeters. Find the length of each side of the polygon.
|
12
|
|
<image>If $XN=6,XM=2$, and $XY=10$, find $NZ$.
|
24
|
|
<image>Find $x$
|
1
|
|
<image>Find BC
|
6
|
|
<image>Find $x$.
|
30
|
|
<image>Find $\widehat{\mathrm{WN}}$ if $\triangle \mathrm{IWN}$ is equilateral and $W N=5$
|
\frac { 5 } { 3 } \pi
|
|
<image>Find x.
|
4 \sqrt { 15 }
|
|
<image>Find x.
|
4 \sqrt { 2 }
|
|
<image>Find the value of the variable $x$ in the figure.
|
54
|
|
<image>The area $A$ of the shaded region is given. Find $x$. $A = 66$ cm$^2$ .
|
13.0
|
|
<image>Find the value of x.
|
163
|
|
<image>$\overline{CH} \cong \overline{KJ}$. Find $x$.
|
55
|
|
<image>In regular hexagon UVWXYZ, each side is 12 centimeters long. Find $W Y$.
|
12 \sqrt { 3 }
|
|
<image>Find $\angle 5$
|
50
|
|
<image>In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠9$.
|
49
|
|
<image>Find $m \widehat {QTS}$.
|
248
|
|
<image>Use the Pythagorean Theorem to find the length of the hypotenuse of each right triangle.
|
13
|
|
<image>$∠1$ and $∠2$ form a linear pair and $m∠2 = 67$. Find the measure of $\angle 1$.
|
113
|
|
<image>The diameters of $\odot A, \odot B,$ and $\odot C$ are 10, 30 and 10 units, respectively. Find YW if $\overline{A Z} \cong \overline{C W}$ and $C W=2$.
|
3
|
|
<image>Find $m\angle MPQ$.
|
101
|
|
<image>Find x to the nearest hundredth.
|
43.86
|
|
<image>Find x
|
10.5
|
|
<image>Find $\angle 9$
|
120
|
|
<image>Find $x$.
|
9.6
|
|
<image>Find z.
|
6 \sqrt { 5 }
|
|
<image>Use rectangle LMNP, parallelogram LKMJ to solve the problem.
If $L N=10, L J=2 x+1,$ and $P J=3 x-1,$ find $x$
|
2
|
|
<image>In $\odot P$, $JK=10$ and $\widehat {JKL}=134$. Find $m \widehat{JL}$.
|
67
|
|
<image>Find $m \angle N C L$
|
120
|
|
<image>Find $m \angle 1$.
|
79
|
|
<image>The pair of polygons is similar. Find x
|
6
|
|
<image>$m \angle 3=x-12$ and $m \angle 6=72$. Find $x$.
|
84
|
|
<image>Find the perimeter of $\triangle D E F,$ if $\triangle D E F \sim \triangle C B F,$ perimeter of $\triangle C B F=27, D F=6,$ and $F C=8$
|
20.25
|
|
<image>Find $TQ$.
|
12
|
|
<image>Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 3$
|
40
|
|
<image>Find $h$ in the triangle.
|
8
|
|
<image>The diameters of $\odot A, \odot B,$ and $\odot C$ are 10, 30 and 10 units, respectively. Find AC if $\overline{A Z} \cong \overline{C W}$ and $C W=2$.
|
34
|
|
<image>Find $m∠1$.
|
53
|
|
<image>In rhombus $A B C D, m \angle D A B=2, m \angle A D C$ and $C B=6$. Find $m \angle A D B$
|
30
|
|
<image>$\overline{WTY} \cong \overline{TWY}$. Find $x$.
|
5
|
|
<image>Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\angle 6$ if $m∠1 = 30$.
|
60
|
|
<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 $m\widehat{W U X}$
|
308
|
|
<image>Find x.
|
10
|
|
<image>Find x. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth if necessary.
|
10
|
|
<image>Find the perimeter of the figure.
|
32
|
|
<image>Find the measure of the altitude drawn to the hypotenuse.
|
\sqrt { 336 }
|
|
<image>Use parallelogram MNPR to find $m \angle MNP$
|
71
|
|
<image>In the figure, $\triangle A B C \sim \triangle D E F . \overline{B G}$ is a median of $\triangle A B C,$ and $\overline{E H}$ is a median of $\triangle D E F .$ Find $E H$ if $B C=30, B G=15,$ and $E F=15$
|
7.5
|
|
<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.
|
2
|
|
<image>Find $m \angle Y$
|
80
|
|
<image>Equilateral pentagon $P Q R S T$ is inscribed in $\odot U$. Find $m \widehat{Q R}$
|
72
|
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