Yuting6/geometry3k-white · Datasets at Hugging Face

images images listlengths 1 1	problem stringlengths 23 244	answer stringlengths 1 34
	<image>Question: Find the measure of $\angle 2$.	53
	<image>Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.	57.9
	<image>Question: Find y	16
	<image>Question: Find $y$ in the figure.	15
	<image>Question: Find the exact circumference of the circle below.	32 \pi
	<image>Question: Find $x$.	48
	<image>Question: Find the area of the composite figure. Round to the nearest tenth.	357.0
	<image>Question: Find x.	9 \sqrt { 2 }
	<image>Question: Find z.	6
	<image>Question: Find the area of the figure. Round to the nearest tenth.	231
	<image>Question: Find $m \angle X$	108
	<image>Question: Find y.	15
	<image>Question: Find x. Round to the nearest tenth.	10.8
	<image>Question: Find the value of x.	4.08
	<image>Question: Use the figure to find the indicated variable. Find $y$ if $m \angle 3 = 4y + 30$ and $m \angle 7 = 7y + 6$.	8
	<image>Question: In $\triangle CDF$, $K$ is the centroid and $DK=16$. Find $FG$.	18
	<image>Question: Find the area of the shaded figure in square inches. Round to the nearest tenth.	420
	<image>Question: Find the area of the figure.	54.9
	<image>Question: Find the value of $f$ in the parallelogram	14
	<image>Question: $J$ is the incenter of $\angle ABC$. Find $m \angle JAC$.	24
	<image>Question: Find $m \angle R C L$	137
	<image>Question: Find x	3 \sqrt { 2 }
	<image>Question: Find x.	32
	<image>Question: Find the area of the shaded region. Round to the nearest tenth.	471.2
	<image>Question: If quadrilateral ABCD is a kite, what is $m \angle C$?	76
	<image>Question: Find the value of the variable $y$ in the figure.	125
	<image>Question: In the figure, $m ∠1 = 53$. Find the measure of $∠4$.	127
	<image>Question: Find $m \angle S$.	54
	<image>Question: Find x.	\frac { 15 } { 14 } \sqrt { 19 }
	<image>Question: Find $x$ so that $p \parallel q$.	45
	<image>Question: If $MNPQ \sim XYZW,$ find the scale factor of $MNPQ$ to $XYZW$.	2
	<image>Question: Find $SP$.	17
	<image>Question: $m∠9 = 2x - 4$, $m∠10 = 2x + 4$. Find the measure of $∠9$.	86
	<image>Question: Find the measure of $m∠K$.	53
	<image>Question: If $J,P,$ and $L$ are the midpoints of $\overline{KH}, \overline{HM}$ and $\overline{MK}$, respectively. Find $y$.	6
	<image>Question: If $J,P,$ and $L$ are the midpoints of $\overline{KH}, \overline{HM}$ and $\overline{MK}$, respectively. Find $z$.	1
	<image>Question: If QRST is a parallelogram, what is the value of x?	13
	<image>Question: In $\odot F$, $\overline{AB} \cong \overline{BC}$, $DF=3x-7$, and $FE=x+9$. What is $x$?	8
	<image>Question: Find $x$. A = 153 in$^2$.	17
	<image>Question: What is the area of the sector?	\frac { \pi } { 4 }
	<image>Question: Find $m\angle J$	150
	<image>Question: Find x	3
	<image>Question: Each pair of polygons is similar. Find y	70
	<image>Question: $a=8, b=15,$ and $c=17$ find $tanB$	1.88
	<image>Question: Find $z$ in the figure.	142
	<image>Question: Find the measure of $\angle 1 $ if $\overline{A B} \perp \overline{B C}$.	76
	<image>Question: Find AC	7 \sqrt { 3 }
	<image>Question: Find $m \angle K$.	97
	<image>Question: In $\triangle JKL$, $PT=2$. Find $KP$.	4
	<image>Question: Find $m\angle Z$	144
	<image>Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.	115
	<image>Question: Find the area of the figure. Round to the nearest tenth if necessary.	1200
	<image>Question: Find $m\angle K$	62
	<image>Question: Find $m \widehat {AC}$.	48
	<image>Question: Find $x$.	10
	<image>Question: Find the value of $x$ in each diagram	44
	<image>Question: Find x	4
	<image>Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.	60
	<image>Question: $ \triangle RST$ is a right triangle. Find $m∠R$.	60
	<image>Question: 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 $x$.	4
	<image>Question: Find x	7 \sqrt { 3 }
	<image>Question: Find the area of the figure. Round to the nearest tenth if necessary.	99
	<image>Question: Find $x$ if $\overline{MS}$ is an altitude of $\triangle MNQ$, $m\angle 1 = 3x + 11$, and $m \angle 2 = 7x + 9$.	7
	<image>Question: Find $z$ in the figure.	42
	<image>Question: $\triangle PQS \cong \triangle RQS$. Find $y$.	8
	<image>Question: $P$ is the incenter of $\angle XYZ$. Find $m \angle LZP$.	32
	<image>Question: The pair of polygons is similar. Find AB	4
	<image>Question: 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 $\angle T$	72
	<image>Question: Find y.	6 \sqrt { 2 }
	<image>Question: Find y.	\frac { 2 } { 3 } \sqrt { 5 }
	<image>Question: $\overline{E C}$ and $\overline{A B}$ are diameters of $\odot O$. Find its measure of $\widehat{ACE}$.	270
	<image>Question: 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 $m\widehat{A C B}$	180
	<image>Question: Find BD	1.8
	<image>Question: If $m \widehat{F E}=118, m \widehat{A B}=108$, $m \angle E G B=52,$ and $m \angle E F B=30$ Find $m \widehat{A C}$	30
	<image>Question: 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?	41.6
	<image>Question: In $\triangle PQR$, $\overline{ST} \\| \overline{R Q}$ . If $PT=7.5$, $TQ=3$, and $SR=2.5$, find $PS$.	6.25
	<image>Question: Find x	7
	<image>Question: Find the area of the regular polygon. Round to the nearest tenth.	212.1
	<image>Question: The area of $▱ A B C D$ is 150 square meters. The area of $▱ F G H J$ is 54 square meters. If $▱ A B C D \sim ▱ F G H J$, find the scale factor of $▱ F G H J$ to $▱ A B C D$.	\frac { 3 } { 5 }
	<image>Question: Quadrilateral ABCD is a rectangle. Find y	5
	<image>Question: In the figure, $a ∥ b, c ∥ d$, and $m∠4 = 57$. Find the measure of $\angle 8$.	57
	<image>Question: Use parallelogram to find $y$	5
	<image>Question: If $\frac{I J}{X J}=\frac{HJ}{YJ}, m \angle W X J=130$ and $m \angle WZG=20,$ find $m \angle JHI$	70
	<image>Question: Find x	30
	<image>Question: Find x. Round to the nearest tenth, if necessary.	15
	<image>Question: $UJ=9, VJ=3$, and $ZT=18$. Find $ZJ$.	12
	<image>Question: Find the area of the triangle. Round to the nearest tenth if necessary.	6
	<image>Question: For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure.	\frac { 6 } { 5 }
	<image>Question: Find x.	3
	<image>Question: $JKMN$ is a rectangle. If $NQ=2x+3$ and $QK=5x-9$, find $JQ$.	11
	<image>Question: Find the perimeter of the $\triangle A B C,$ if $\triangle A B C \sim \triangle C B D, A D=5$, $C D=12,$ and $B C=31.2$	78
	<image>Question: Find the area of the figure. Round to the nearest tenth if necessary.	4185
	<image>Question: Find $m \angle 2$.	59
	<image>Question: ABCD is a rhombus. If EB = 9, AB = 12 and $m\angle ABD = 55$ . Find $m\angle BDA$	55
	<image>Question: Find y in the figure.	40
	<image>Question: If WXYZ is a kite, find $m\angle Z$	75
	<image>Question: Find $x$.	7
	<image>Question: Find $m\angle T$	46
	<image>Question: Each pair of polygons is similar. Find x	27
	<image>Question: Find $SR$.	24

<image>Question: Find the measure of $\angle 2$.

53

<image>Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.

57.9

<image>Question: Find y

16

<image>Question: Find $y$ in the figure.

15

<image>Question: Find the exact circumference of the circle below.

32 \pi

<image>Question: Find $x$.

48

<image>Question: Find the area of the composite figure. Round to the nearest tenth.

357.0

<image>Question: Find x.

9 \sqrt { 2 }

<image>Question: Find z.

6

<image>Question: Find the area of the figure. Round to the nearest tenth.

231

<image>Question: Find $m \angle X$

108

<image>Question: Find y.

15

<image>Question: Find x. Round to the nearest tenth.

10.8

<image>Question: Find the value of x.

4.08

<image>Question: Use the figure to find the indicated variable. Find $y$ if $m \angle 3 = 4y + 30$ and $m \angle 7 = 7y + 6$.

8

<image>Question: In $\triangle CDF$, $K$ is the centroid and $DK=16$. Find $FG$.

18

<image>Question: Find the area of the shaded figure in square inches. Round to the nearest tenth.

420

<image>Question: Find the area of the figure.

54.9

<image>Question: Find the value of $f$ in the parallelogram

14

<image>Question: $J$ is the incenter of $\angle ABC$. Find $m \angle JAC$.

24

<image>Question: Find $m \angle R C L$

137

<image>Question: Find x

3 \sqrt { 2 }

<image>Question: Find x.

32

<image>Question: Find the area of the shaded region. Round to the nearest tenth.

471.2

<image>Question: If quadrilateral ABCD is a kite, what is $m \angle C$?

76

<image>Question: Find the value of the variable $y$ in the figure.

125

<image>Question: In the figure, $m ∠1 = 53$. Find the measure of $∠4$.

127

<image>Question: Find $m \angle S$.

54

<image>Question: Find x.

\frac { 15 } { 14 } \sqrt { 19 }

<image>Question: Find $x$ so that $p \parallel q$.

45

<image>Question: If $MNPQ \sim XYZW,$ find the scale factor of $MNPQ$ to $XYZW$.

2

<image>Question: Find $SP$.

17

<image>Question: $m∠9 = 2x - 4$, $m∠10 = 2x + 4$. Find the measure of $∠9$.

86

<image>Question: Find the measure of $m∠K$.

53

<image>Question: If $J,P,$ and $L$ are the midpoints of $\overline{KH}, \overline{HM}$ and $\overline{MK}$, respectively. Find $y$.

6

<image>Question: If $J,P,$ and $L$ are the midpoints of $\overline{KH}, \overline{HM}$ and $\overline{MK}$, respectively. Find $z$.

1

<image>Question: If QRST is a parallelogram, what is the value of x?

13

<image>Question: In $\odot F$, $\overline{AB} \cong \overline{BC}$, $DF=3x-7$, and $FE=x+9$. What is $x$?

8

<image>Question: Find $x$. A = 153 in$^2$.

17

<image>Question: What is the area of the sector?

\frac { \pi } { 4 }

<image>Question: Find $m\angle J$

150

<image>Question: Find x

3

<image>Question: Each pair of polygons is similar. Find y

70

<image>Question: $a=8, b=15,$ and $c=17$ find $tanB$

1.88

<image>Question: Find $z$ in the figure.

142

<image>Question: Find the measure of $\angle 1 $ if $\overline{A B} \perp \overline{B C}$.

76

<image>Question: Find AC

7 \sqrt { 3 }

<image>Question: Find $m \angle K$.

97

<image>Question: In $\triangle JKL$, $PT=2$. Find $KP$.

4

<image>Question: Find $m\angle Z$

144

<image>Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.

115

<image>Question: Find the area of the figure. Round to the nearest tenth if necessary.

1200

<image>Question: Find $m\angle K$

62

<image>Question: Find $m \widehat {AC}$.

48

<image>Question: Find $x$.

10

<image>Question: Find the value of $x$ in each diagram

44

<image>Question: Find x

4

<image>Question: Find the area of the parallelogram. Round to the nearest tenth if necessary.

60

<image>Question: $ \triangle RST$ is a right triangle. Find $m∠R$.

60

<image>Question: 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 $x$.

4

<image>Question: Find x

7 \sqrt { 3 }

<image>Question: Find the area of the figure. Round to the nearest tenth if necessary.

99

<image>Question: Find $x$ if $\overline{MS}$ is an altitude of $\triangle MNQ$, $m\angle 1 = 3x + 11$, and $m \angle 2 = 7x + 9$.

7

<image>Question: Find $z$ in the figure.

42

<image>Question: $\triangle PQS \cong \triangle RQS$. Find $y$.

8

<image>Question: $P$ is the incenter of $\angle XYZ$. Find $m \angle LZP$.

32

<image>Question: The pair of polygons is similar. Find AB

4

<image>Question: 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 $\angle T$

72

<image>Question: Find y.

6 \sqrt { 2 }

<image>Question: Find y.

\frac { 2 } { 3 } \sqrt { 5 }

<image>Question: $\overline{E C}$ and $\overline{A B}$ are diameters of $\odot O$. Find its measure of $\widehat{ACE}$.

270

<image>Question: 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 $m\widehat{A C B}$

180

<image>Question: Find BD

1.8

<image>Question: If $m \widehat{F E}=118, m \widehat{A B}=108$, $m \angle E G B=52,$ and $m \angle E F B=30$ Find $m \widehat{A C}$

30

<image>Question: 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?

41.6

<image>Question: In $\triangle PQR$, $\overline{ST} \| \overline{R Q}$ . If $PT=7.5$, $TQ=3$, and $SR=2.5$, find $PS$.

6.25

<image>Question: Find x

7

<image>Question: Find the area of the regular polygon. Round to the nearest tenth.

212.1

<image>Question: The area of $▱ A B C D$ is 150 square meters. The area of $▱ F G H J$ is 54 square meters. If $▱ A B C D \sim ▱ F G H J$, find the scale factor of $▱ F G H J$ to $▱ A B C D$.

\frac { 3 } { 5 }