MNPQ

is a parallelogram. Suppose thatMQ=7

,MN=9

, and mM=114

. Find mQ

.

a)114

b)66

c)70

d)90

e)294

f)None of the above

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Question 2

ABCD

is a parallelogram. Given thatAB=9x+10

,BC=10x+7

, andCD=11x+6

, findAD

.

a)17

b)2

c)19

d)27

e)28

f)None of the above

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Question 3

ABCD

is a parallelogram. Given that mA=2x+8

and mB=3x28

, find the measure of angleC

.

a)52

b)80

c)88

d)92

e)None of the above

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Question 4

ABCD

is a parallelogram. Given that mA=2x

3

and mC=x

2

+15

, find the measure of angleB

.

a)119

b)60

c)117

d)120

e)115

f)None of the above

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Question 5

True or false:A parallelogram has point symmetry about the point where its two diagonals intersect.

a)True

b)False

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Question 6

True or false:A parallelogram is symmetric with respect to either diagonal.

a)True

b)False

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Question 7

Given:ParallelogramRSTV

andXY

VT

Prove:1S

What is the plan to complete the proof?

a)To show thatYT=XV

b)To show thatSY=RX

c)To show thatXYTV

is a parallelogram

d)To prove thatSY

RX

e)To show thatRSYX

is a parallelogram

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Question 8

In parallelogramABCD

(not shown), pointO

is the point where its two diagonals intersect. Findx

ifAO=2x

,BO=24

, andCO=36

.

a)18

b)12

c)48

d)36

e)24

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Question 9

In parallelogramABCD

(not shown),AB=5

, mB=60

, andBC=9

. Which diagonal has the greater length?

a)BD

b)BC

c)AC

d)AD

e)AB

f)None of the above

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Question 10

In parallelogramABCD

(not shown), the diagonals have the lengthsAC=5

andBD=3

. Which pair of angles have greater measures?

a)B

andD

b)C

andD

c)A

andD

d)A

andB

e)A

andC

f)None of the above

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