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Parallelograms & Rectangles Quiz Review

Total questions: 36

Worksheet time: 6hrs 0mins

Name
Class
Date
1.

FILL IN:

A parallelogram has both pairs of opposite sides ____________.

a)

Parallel

b)

Congruent

c)

Parallel and Congruent

2.

FILL IN:

A parallelogram has both pairs of opposite angles _____________.

a)

Congruent

b)

Complementary

c)

Supplementary

3.

FILL IN:

Consecutive angles of a parallelogram are ________________.

a)

Congruent

b)

Supplementary

c)

Complementary

4.

TRUE OR FALSE:

A parallelogram is always a rectangle.

a)

True

b)

False

5.

The sides of parallelogram ABCD

are represented as shown.

Find DA.

a)

10

b)

24

c)

12

d)

30

6.
If the figure is a rectangle, the value of x is...
a)
2
b)
12
c)
13
d)
28
7.
Solve for the variables.
a)
m=68, n=70
b)
m=35, n=70
c)
m=35, n=110
d)
m=68, n=110
8.

Given parallelogram ABCD with

m∠B = 5x and m∠C = 3x+4.

Find the number of degrees in ∠D.

a)

70

b)

110

c)

73

d)

115

9.

The diagonals of rectangle ABCD intersect at E. AE = x + 4 and CE = 3x - 12. Find BD.

a)

8

b)

12

c)

16

d)

24

10.

Given parallelogram ABCD, labeled as shown. Find a and b.


a)

a = 10; b = -30

b)

a = 40; b = 10

c)

a = 10; b = 40

d)

a = 40; b = -10

11.
Which of the following is NOT always true about a rectangle?
a)
All sides are congruent.
b)
The diagonals are congruent.
c)
Any two opposite sides are congruent.
d)
All angles are right angles.
12.
Which characteristic would prove that a quadrilateral is a parallelogram?
a)
Consecutive angles are equal.
b)
Opposite angles are supplementary.
c)
Opposite angles are equal.
13.
In parallelogram ABCD, what is the measure of ∠DCB?
a)
84
b)
59
c)
96
d)
37
14.
a)
180
b)
82
c)
70
d)
28
15.
Solve for x in the rectangle.
a)
x=2
b)
x=7
c)
x=8
d)
x=3
16.

Which is NOT a property of a parallelogram?

a)

opposite sides are parallel

b)

opposite angles are congruent

c)

diagonals bisect each other

d)

all sides are congruent

17.
The diagonals of a parallelogram always ... 
a)
are congruent
b)
are perpendicular
c)
bisect each other
d)
are parallel
18.
ABCD is a rectangle.  m∠BCA = 58.  Find m∠BAC. 
a)
90
b)
58
c)
64
d)
32
19.
______ rectangles are parallelograms.
a)
All
b)
Some
c)
No
20.

Which of the following is true about the diagonals of a rectangle? Select all that are true.

a)

Diagonals bisect each other

b)

Diagonals are congruent

c)

Diagonal are perpendicular

d)

Diagonals bisect the angles

21.
What is the measurement of every angle in a rectangle?
a)
180˚
b)
60˚
c)
90˚
d)
20˚
22.
Do diagonals of a rectangle bisect each other? 
a)
Yes
b)
No
23.

Which of the following is not a property of all rectangles?

a)

both pairs of opposite sides have equal lengths

b)

all angles are congruent

c)

the diagonals are congruent

d)

the diagonals are perpendicular

24.

The angles of a rectangle are  90°90\degree  

a)

Always

b)

Sometimes

c)

Never

25.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
10
c)
4
d)
5
26.
The figure is a parallelogram.  
Solve for x.  
a)
12
b)
4
c)
6
d)
2
27.
The figure is a parallelogram.  
Solve for x.  
a)
10
b)
3
c)
5
d)
12
28.
a)
-21
b)
26
29.
Solve for x in the rectangle.
a)
x=2
b)
x=7
c)
x=8
d)
x=3
30.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
31.

Solve for x

a)

x = 5

b)

x = 7

c)

x = 14

d)

x = 3

32.

Solve for y

a)

y = 5

b)

y = 7

c)

y = 14

d)

y = 9

33.

Solve for z

a)

z = 5

b)

z = 7

c)

z = 17

d)

z = 9

34.

Solve for x

a)

x = 15

b)

x = 73

c)

x = 34

d)

x = 24

35.

ML=

a)

14.5

b)

9.8

c)

9.9

d)

9.89

36.

JL=

a)

14

b)

7

c)

12

d)

45