Properties of Parallelograms and Their Diagonals PRACTICE

Each quadrilateral below is a parallelogram. Find the missing measures. Round to the tenths.

MN = ​ (a)  

KN = ​ ​ ​ (b)  

m<K = ​ (c)  

m<L = ​ (d)  

m<M = ​ (e)  

• 31
• 45
• 61
• 119
• 180
• 58
• 86

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CCSS.HSG.CO.C.11

Each quadrilateral below is a parallelogram. Find the missing measures. Round to the tenths.

CF = ​ (a)  

FE = ​ (b)  

CE = ​ (c)  

GD = ​ (d)  

• 10
• 15
• 14
• 11
• 7
• 22

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CCSS.HSG.CO.C.11

Each quadrilateral below is a parallelogram. Find the missing measures. Round to the tenths.

Given: PQ=24, PS=19, PR=42, TQ=10, m<PQR=106, m<QSR=49, m<PRS=35.

QR = ​ (a)  

SR = ​ (b)  

PT = ​ (c)  

SQ = ​ (d)  

• 19
• 24
• 21
• 20
• 42
• 10
• 48
• 38
• 12

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CCSS.HSG.CO.C.11

Each quadrilateral below is a parallelogram. Find the missing measures. Round to the tenths.

AC = 8x-14 and EC = 2x+11. Solve for x.

• 9

• 0

• 4.2

• 18

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CCSS.HSG.CO.C.11

Each quadrilateral below is a parallelogram. Find the missing measures. Round to the tenths. Find m∠V.

• m∠V = 137°

• m∠V = 56°

• m∠V = 43°

• m∠V = 7°

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CCSS.HSG.CO.C.11

In the rectangle, find the following:

VW = ​ (a)  

WX = ​ (b)  

YW = ​ (c)  

ZX = ​ (d)  

VX = ​ (e)  

• 31
• 19
• 36.3
• 18.2
• 50
• 12
• 24.5

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CCSS.HSG.CO.C.11

In the rectangle, find the following:

GF = ​ (a)  

GE = ​ (b)  

DF = ​ (c)  

HF = ​ (d)  

DG = ​ (e)  

• 11
• 28
• 14
• 25.7
• 30.1
• 7
• 22

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CCSS.HSG.CO.C.11

Find WZ in the rectangle.

• 5

• 29

• 26

• 20

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CCSS.HSG.CO.C.11

Find the missing measures. Round to the tenths. 4. If RT = 5x - 14 and US = 2x + 10, find VT.

• 26

• 13

• 24

• 8

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CCSS.HSG.CO.C.11

Find m∠JHI.

• 105°

• 7°

• 45°

• 23°

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CCSS.HSG.CO.C.11