Datasets:
TigerLHH
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geo3ktest

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xet
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images
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<image><image_1>Find $m \angle 1$. <image><image_2>Find $AB$.
108 4.1
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<image><image_1>Find $RS$ if $\triangle QRS$ is an equilateral triangle. <image><image_2>If two sides of a triangle measure 12 and 7, which of the following cannot be the perimeter of the triangle?
2 38
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<image><image_1>Find the area of the triangle. Round to the nearest hundredth. <image><image_2>$\overline{AB}$ is a diameter, $AC=8$ inches, and $BC=15$ inches. Find the radius of the circle.
7.51 8.5
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<image><image_1>Find $m \angle 1$. <image><image_2>Find $w$ in the given parallelogram
70 5
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<image><image_1>Find $x$. <image><image_2>Find y
\frac { 5 } { 3 } 5
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<image><image_1>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 $\triangle L M N$. <image><image_2>Find the measure of $\angle 7$ if $m∠4= m∠5$.
35 89
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<image><image_1>$\overline{XY}$ and $\overline{XZ}$ are midsegments of $\triangle RST$. Find $ST$. <image><image_2>If $m∠5 = 7x - 5$ and $m∠4 = 2x + 23$, find $x$.
14 18
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<image><image_1>Find the measure of $\angle 2$. <image><image_2>Use parallelogram ABCD to find $m\angle ACD$
76 29
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<image><image_1>Find $CD$ if $AC=x-3$, $BE=20, AB=16,$ and $CD=x+5$ <image><image_2>$UJ=9, VJ=3$, and $ZT=18$. Find $SV$.
40 9
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<image><image_1>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 $m\widehat{A E}$ <image><image_2>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 QY...
90 35
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<image><image_1>Which segments are parallel? <image><image_2>Use parallelogram MNPR to find $m \angle RMN$
A D and B E 109
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<image><image_1>If WXYZ is a kite, find WP <image><image_2>Find x.
\sqrt { 20 } 17
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<image><image_1>In the figure below, $∠ABC$ is intersected by parallel lines $l$ and $m$. What is the measure of $∠ABC$? Express your answer in degrees. <image><image_2>Find z
71 6
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<image><image_1>If DB = 24, AE = 3, and EC = 18, find AD <image><image_2>Find the measure of $m∠1$.
4 109
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<image><image_1>In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 6$. <image><image_2>Find $x$.
70 35
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<image><image_1>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary. <image><image_2>Use parallelogram ABCD to find $m\angle DAC$
50 72
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<image><image_1>In the figure, $m∠1 = 123$. Find the measure of $\angle 14$. <image><image_2>Use parallelogram $JKLM$ to find $m \angle JKL$.
57 80
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<image><image_1>Refer to the figure at the right. Find y. <image><image_2>Find the area of the figure. Round to the nearest tenth if necessary.
6.75 95
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<image><image_1>Find $x$. <image><image_2>For the pair of similar figures, use the given areas to find $x$.
6 16
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<image><image_1>Find x. <image><image_2>Find $a,$ if $F G=18, G H=42,$ and $F K=15$
8 57
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<image><image_1>Find the area of the figure. Round to the nearest tenth if necessary. <image><image_2>Find PT
22.1 \frac { 20 } { 3 }
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<image><image_1>Find $GD$. <image><image_2>Find the area of the regular polygon figure. Round to the nearest tenth.
14 101.8
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<image><image_1>Find x <image><image_2>Find y.
120 45
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<image><image_1>Find the area of the rhombus. <image><image_2>Find $AB$ if $\triangle ABC$ is an isosceles triangle with $\overline{AB} \cong \overline{BC}$.
168 7
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<image><image_1>Find x. Round the side measure to the nearest tenth. <image><image_2>Circle $J$ has a radius of $10$ units, $\odot K$ has a radius of $8$ units, and $BC=5.4$ units. Find $JK$.
69.8 12.6
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<image><image_1>The perimeter of this polygon is 60 centimeters. Find the length of each side of the polygon. <image><image_2>If $XN=6,XM=2$, and $XY=10$, find $NZ$.
12 24
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<image><image_1>Find $x$ <image><image_2>Find BC
1 6
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<image><image_1>Find $x$. <image><image_2>Find $\widehat{\mathrm{WN}}$ if $\triangle \mathrm{IWN}$ is equilateral and $W N=5$
30 \frac { 5 } { 3 } \pi
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<image><image_1>Find x. <image><image_2>Find x.
4 \sqrt { 15 } 4 \sqrt { 2 }
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<image><image_1>Find the value of the variable $x$ in the figure. <image><image_2>The area $A$ of the shaded region is given. Find $x$. $A = 66$ cm$^2$ .
54 13.0
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<image><image_1>Find the value of x. <image><image_2>$\overline{CH} \cong \overline{KJ}$. Find $x$.
163 55
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<image><image_1>In regular hexagon UVWXYZ, each side is 12 centimeters long. Find $W Y$. <image><image_2>Find $\angle 5$
12 \sqrt { 3 } 50
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<image><image_1>In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠9$. <image><image_2>Find $m \widehat {QTS}$.
49 248
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<image><image_1>Use the Pythagorean Theorem to find the length of the hypotenuse of each right triangle. <image><image_2>$∠1$ and $∠2$ form a linear pair and $m∠2 = 67$. Find the measure of $\angle 1$.
13 113
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<image><image_1>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 $C W=2$. <image><image_2>Find $m\angle MPQ$.
3 101
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<image><image_1>Find x to the nearest hundredth. <image><image_2>Find x
43.86 10.5
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<image><image_1>Find $\angle 9$ <image><image_2>Find $x$.
120 9.6
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<image><image_1>Find z. <image><image_2>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 $x$
6 \sqrt { 5 } 2
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<image><image_1>In $\odot P$, $JK=10$ and $\widehat {JKL}=134$. Find $m \widehat{JL}$. <image><image_2>Find $m \angle N C L$
67 120
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<image><image_1>Find $m \angle 1$. <image><image_2>The pair of polygons is similar. Find x
79 6
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<image><image_1>$m \angle 3=x-12$ and $m \angle 6=72$. Find $x$. <image><image_2>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 $F C=8$
84 20.25
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<image><image_1>Find $TQ$. <image><image_2>Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 3$
12 40
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<image><image_1>Find $h$ in the triangle. <image><image_2>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 $C W=2$.
8 34
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<image><image_1>Find $m∠1$. <image><image_2>In rhombus $A B C D, m \angle D A B=2, m \angle A D C$ and $C B=6$. Find $m \angle A D B$
53 30
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<image><image_1>$\overline{WTY} \cong \overline{TWY}$. Find $x$. <image><image_2>Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\angle 6$ if $m∠1 = 30$.
5 60
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<image><image_1>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 $m\widehat{W U X}$ <image><image_2>Find x.
308 10
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<image><image_1>Find x. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth if necessary. <image><image_2>Find the perimeter of the figure.
10 32
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<image><image_1>Find the measure of the altitude drawn to the hypotenuse. <image><image_2>Use parallelogram MNPR to find $m \angle MNP$
\sqrt { 336 } 71
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<image><image_1>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 $E F=15$ <image><image_2>Find x. Round to the nearest tenth if necessary. Assume that segments that appear ...
7.5 2
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<image><image_1>Find $m \angle Y$ <image><image_2>Equilateral pentagon $P Q R S T$ is inscribed in $\odot U$. Find $m \widehat{Q R}$
80 72
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<image><image_1>In the figure, $m ∠9 = 75$. Find the measure of $\angle 6$. <image><image_2>Given that the perimeter of $\triangle A B C=25,$ find $x$. Assume that segments that appear tangent to circles are tangent.
105 3
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<image><image_1>$\overline{HK}$ and $\overline{IG}$ are diameters of $\odot L$. Find $m \widehat {IHJ}$. <image><image_2>Find the scale factor from $W$ to $W'$.
270 \frac { 1 } { 3 }
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<image><image_1>Find x. <image><image_2>Find tan X
\sqrt { 7 } \frac { 5 } { 12 }
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<image><image_1>Find the area of the parallelogram. Round to the nearest tenth if necessary. <image><image_2>If $A B C D$ is a rhombus, and $m \angle A B C=70^{\circ}$, what is $m \angle 1 ?$
1440 55
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<image><image_1>$MC=7,RM=4$, and $AT=16$. Find $MS$. <image><image_2>For trapezoid $ABCD$, $S$ and $T$ are midpoints of the legs. If $CD=14$, $ST=10$, and $AB=2x$, find $x$.
3.5 3
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<image><image_1>Find $m \angle 4$. <image><image_2>Circles $G, J,$ and $K$ all intersect at $L$ If $G H=10$, find FH
71.5 20
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<image><image_1>Find DE <image><image_2>$\triangle ABC \sim \triangle FDG$. Find the value of $x$.
10 10
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<image><image_1>Find x. Assume that segments that appear to be tangent are tangent. <image><image_2>For trapezoid QRTU, V and S are midpoints of the legs. If QR = 4 and UT = 16, find VS.
5 10
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<image><image_1>Find z <image><image_2>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 $z$.
36 \sqrt { 7 } 3
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<image><image_1>Use parallelogram JKLM to find $m \angle JML$ <image><image_2>Find $x$.
109 12.75
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<image><image_1>Find $\angle C$ of quadrilateral ABCD <image><image_2>$P Q R S$ is a rhombus inscribed in a circle. Find $m \widehat{SP}$
90 90
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<image><image_1>Find the variable of $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent. <image><image_2>The segment is tangent to the circle. Find $x$. Round to the nearest tenth.
6.0 8.5
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<image><image_1>Find $x$. <image><image_2>If $ST=8, TR=4$, and $PT=6$, find $QR$.
16 9
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<image><image_1>Find the value of $x$ in each diagram <image><image_2>$m \angle 2=2 x, m \angle 3=x$ Find $m\angle 2$
71 60
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<image><image_1>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary. <image><image_2>$\triangle JKL \sim \triangle WYZ$. Find $x$.
76 21
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<image><image_1>Find $KL$. <image><image_2>Find $QS$.
12 25
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<image><image_1>parallelogram MNPQ with $m \angle M=10 x$ and $m \angle N=20 x$, find $\angle M$ <image><image_2>Find $x$.
60 90
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<image><image_1>Find y. <image><image_2>$\overline{AB} \perp \overline{DC}$ and $\overline{GH} \perp \overline{FE}$. If $\triangle ACD \sim \triangle GEF$, find $AB$.
2 \sqrt { 6 } 2.2
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<image><image_1>Find $JQ$ if $Q$ is the incenter of $\triangle JLN$. Rounded to the nearest hundredth. <image><image_2>If $FGHJ$ is a kite, find $m\angle GFJ$.
18.79 80
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<image><image_1>Find $x$ so that $m || n$. <image><image_2>Find x.
20 2 \sqrt { 11 }
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<image><image_1>For the pair of similar figures, use the given areas to find the scale factor from the blue to the green figure. <image><image_2>Find the value of the variable $y$ in the figure.
\frac { 1 } { 2 } 10
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<image><image_1>Find $m \widehat {XZ}$. <image><image_2>Express the ratio of $\tan M$ as a decimal to the nearest hundredth.
88 0.42
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<image><image_1>Express the ratio of $\tan L$ as a decimal to the nearest hundredth. <image><image_2>In $\odot S$, $m \widehat {PQR}=98$, Find $m \widehat {PQ}$.
0.42 49
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<image><image_1>Find $h$ in each triangle. <image><image_2>Find x
11 93
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<image><image_1>$m \angle 4=2 y+32$ and $m \angle 5=3 y-3$. Find $y$. <image><image_2>In the figure, square $ABDC$ is inscribed in $\odot K$. Find the measure of a central angle.
35 90
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<image><image_1>Circle $J$ has a radius of $10$ units, $\odot K$ has a radius of $8$ units, and $BC=5.4$ units. Find $CK$. <image><image_2>Find $x$ so that the quadrilateral is a parallelogram.
2.6 5
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<image><image_1>Find x. <image><image_2>Find x. Assume that segments that appear to be tangent are tangent.
14 \frac { 14 } { 3 }
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<image><image_1>Find x. Round to the nearest hundredth. <image><image_2>In $\odot M$, $FL=24,HJ=48$, and $m \widehat {HP}=65$. Find $NJ$.
27.44 24
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<image><image_1>Find the length of $AC$ in the isosceles triangle ABC. <image><image_2>Find $m \angle D$.
7 80
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<image><image_1>The degree measures of minor arc $\widehat{A C}$ and major arc $\widehat{A D C}$ are $x$ and $y$ respectively. If $m∠ABC = 70°$, find $x$. <image><image_2>Circles $G, J,$ and $K$ all intersect at $L$ If $G H=10,$ find each measure. Find JL
110 5
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<image><image_1>Quadrilateral DEFG is a rectangle. If $m\angle EDF = 5x - 3$ and $m\angle DFG = 3x + 7$, find $m\angle EDF$. <image><image_2>Find the area of the figure.
22 120
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<image><image_1>Find z <image><image_2>Find $m \angle B$.
\frac { 40 } { 3 } 61
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<image><image_1>For trapezoid $Q R S T, A$ and $B$ are midpoints of the legs. Find $m \angle S$ <image><image_2>If $CE=t-2$. $EB=t+1$, $CD=2$, and $CA=10$, find $CE$.
135 1
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<image><image_1>Use parallelogram MNPR to find $m \angle RNP$ <image><image_2>Find $x$. Assume that segments that appear to be tangent are tangent.
38 6
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<image><image_1>Find the measure of $\angle 3$ in the figure. <image><image_2>$\triangle LMN \cong \triangle QRS$. Find $x$.
68 5
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<image><image_1>Find the area of the triangle. Round to the nearest tenth if necessary. <image><image_2>$\triangle RST \cong \triangle ABC$. Find $x$.
54 10
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<image><image_1>Find the area of the regular polygon. Round to the nearest tenth. <image><image_2>Use parallelogram $ABCD$ to find $AD$
23.4 18
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<image><image_1>Find the area of the parallelogram. Round to the nearest tenth if necessary. <image><image_2>Trapezoid $GHJK$ has an area of 188.35 square feet. If $HJ$ is 16.5 feet, find $GK$.
10.2 26.8
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<image><image_1>Which of the following facts would be sufficient to prove that line $d$ is parallel to $\overline {XZ}$? <image><image_2>If $LK=4,MP=3,PQ=6,KJ=2,RS=6$, and $LP=2$, find $ML$.
\angle 3 \cong \angle Z 2
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<image><image_1>Find x <image><image_2>Find $x$. $A=148$ $m^2$.
4 \sqrt { 6 } 18.5
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<image><image_1>ABCD is a parallelogram with side lengths as indicated in the figure at the right. The perimeter of ABCD is 22. Find AB <image><image_2>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
7 11.2
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<image><image_1>Find $x$. <image><image_2>If $XM=4,XN=6$, and $NZ=9$, find $XY$.
30 10
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<image><image_1>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 $m\widehat{A C}$ <image><image_2>Find z.
90 3 \sqrt { 19 }
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<image><image_1>In $\odot F, \overline{F H} \cong \overline{F L}$ and $\mathrm{FK}=17$. Find JG <image><image_2>$\overrightarrow{BA}$ and $\overrightarrow{BC}$ are opposite rays and $\overrightarrow{BD}$ bisects $\angle ABF$. If $m \angle FBC=2x+25$ and $m \angle ABF=10x-1$, find $m \angle DBF$.
30 64.5
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<image><image_1>Find $XY$ of isosceles $\triangle XYZ$ <image><image_2>Find $z$ in the given parallelogram
7 4.5
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<image><image_1>$\overline{MN} \| \overline{BC}$. Solve for $x$. <image><image_2>Find y.
9 28
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<image><image_1>Find the scale factor from $Q$ to $Q'$. <image><image_2>$MC=7,RM=4$, and $AT = 16$. Find $MB$.
3 8
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<image><image_1>Find the perimeter of $\triangle B C D,$ if $\triangle B C D \sim \triangle F D E, C D=12$, $F D=5, F E=4,$ and $D E=8$. <image><image_2>In rhombus LMPQ, $m \angle Q L M=2 x^{2}-10$, $m \angle Q P M=8 x$, and $M P=10$ . Find the perimeter of $LMPQ$
25.5 40
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<image><image_1>Find $BD$ if $\overline{B F}$ bisects $\angle A B C$ and $\overline{A C} \| \overline{E D}, B A=6, B C=7.5$, $A C=9,$ and $D E=9$ <image><image_2>Find y.
13.5 12 \sqrt { 2 }
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<image><image_1>Quadrilateral EFGH is a rectangle. If EF = 4x - 6 and HG = x + 3, find EF. <image><image_2>Find $m \angle R C M$
6 43