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5.5, 5.6 Review [Parallelogram, Square, Rhombus, Rectangle]

Total questions: 46

Worksheet time: 2hrs 53mins

Name
Class
Date
1.
Figure A is a...
a)
Rectangle
b)
Square
c)
Rhombus
2.
In a rhombus, opposite angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
3.
Which of the following are NOT true about diagonals of a rhombus?
a)
they are perpendicular
b)
they bisect each other
c)
they are congruent
4.
The figure is a rhombus.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
5.
Name the following shape: 
a)
Rhombus
b)
Rectangle
c)
Square
6.
Find the measure of angle 1
a)
54
b)
108
c)
72
d)
36
7.
Find the measure of angle 2
a)
68
b)
22
c)
136
d)
44
8.
Find the measure of angle 4
a)
90
b)
22
c)
136
d)
44
9.
Name the following shape: 
a)
Rhombus
b)
Rectangle
c)
Square
10.
The diagonals of a rectangle are
a)
parallel
b)
congruent
c)
perpendicular
d)
not congruent
11.
The diagonals of a rhombus 
a)
never intersect
b)
bisect the opposite angles
c)
are congruent
d)
bisect the sides
12.
Which quadrilateral does not have diagonals that are perpendicular?
a)
Rectangle
b)
Rhombus
c)
Square
13.
A rectangle is a parallelogram:
a)
Always
b)
Sometimes
c)
Never
14.
A square has all the properties of a
a)
parallelogram
b)
rectangle
c)
rhombus
d)
parallelogram, rectangle, and rhombus
15.
A rectangle is a parallelogram with 
a)
four congruent sides
b)
four congruent diagonals
c)
four acute angles
d)
four congruent angles
16.
If the figure is a rectangle, the value of x is...
a)
2
b)
12
c)
13
d)
28
17.
Find y.
a)
2
b)
4
c)
6
d)
8
18.
Figure B is a...
a)
Rectangle
b)
Square
c)
Rhombus
19.

What is the measure of angle 2?

a)

54

b)

108

c)

72

d)

36

20.
ABCD is a rectangle.  m∠BCE = 4x-23 and m∠DCE = 5+5x.  Find m∠BCE. 
a)
25
b)
12
c)
130
d)
32
21.
Given rectangle DEFG, if FD = 3x - 7 and EG = x + 5, find EG.
a)
6
b)
11
c)
7
d)
5
22.

MNKL is a square. Find the measure of angle MKN.

a)

180 degrees

b)

90 degrees

c)

60 degrees

d)

45 degrees

23.
A rhombus is a parallelogram with...
a)
four congruent angles
b)
four right angles
c)
four congruent sides
d)
two congruent sides
24.
A rectangle is a parallelogram with...
a)
four right angles
b)
four congruent sides
c)
two sides parallel
d)
None of the above
25.
A square is a parallelogram with...(read all options before selecting)
a)
four right angles
b)
four congruent sides
c)
four right angles and four congruent sides
d)
none of the above
26.
Name the following shape: 
a)
Rhombus
b)
Rectangle
c)
Square
27.
Find m∠2.
a)
62
b)
28
c)
90
d)
78
28.
ABCD is a rectangle.  m∠BCA = 58.  Find m∠BAC. 
a)
90
b)
58
c)
64
d)
32
29.
If AC = 10x+6 and BE = 8x-6, find BD.
a)
3
b)
18
c)
12
d)
36
30.
If BA=5x+5 and AD=10x-20, find BD.
a)
60
b)
30
c)
5
d)
10
31.
In the rhombus, angle 1 = 10x, angle 2 = x + y, and angle 3 = 15z. Find the value of each variable. 
a)
x = 10, y = 5, z = 6
b)
x = 9, y = 81, z = 6
c)
x = 15, y = 75, z = 4
32.
Find y.
a)
2
b)
4
c)
6
d)
8
33.

FILL IN:

A parallelogram has both pairs of opposite sides ____________.

a)

Parallel

b)

Congruent

c)

Parallel and Congruent

34.

FILL IN:

A parallelogram has both pairs of opposite angles _____________.

a)

Congruent

b)

Complementary

c)

Supplementary

35.

FILL IN:

Consecutive angles of a parallelogram are ________________.

a)

Congruent

b)

Supplementary

c)

Complementary

36.

CHECK ALL THAT APPLY:

All angles are right angles.

a)

Parallelograms

b)

Rhombuses

c)

Rectangles

d)

Squares

37.

CHECK ALL THAT APPLY:

The lengths of the diagonals are congruent.

a)

Parallelograms

b)

Rhombuses

c)

Rectangles

d)

Squares

38.

CHECK ALL THAT APPLY:

All sides are congruent.

a)

Parallelograms

b)

Rhombuses

c)

Rectangles

d)

Squares

39.

CHECK ALL THAT APPLY:

Diagonals bisect the angles.

a)

Parallelograms

b)

Rhombuses

c)

Rectangles

d)

Squares

40.

TRUE OR FALSE:

Squares, rhombuses, and rectangles are considered parallelograms.

a)

True

b)

False

41.

TRUE OR FALSE:

A square is considered a rectangle.

a)

True

b)

False

42.

TRUE OR FALSE:

A parallelogram is always a rectangle.

a)

True

b)

False

43.

TRUE OR FALSE:

A square is considered a rhombus.

a)

True

b)

False

44.

Which of the following group of quadrilaterals have diagonals that are perpendicular to each other?


I. Parallelogram

II. Rectangle

III. Rhombus

IV. Square

a)

All of the above

b)

II, III and IV

c)

II and IV, only

d)

III and IV, only

45.

Which of the following group of quadrilaterals have congruent diagonals?


I. Parallelogram

II. Rectangle

III. Rhombus

IV. Square

a)

All of the above

b)

II, III and IV

c)

II and IV, only

d)

III and IV, only

46.

In rhombus TIGE, diagonals TG and IE intersect at R. The perimeter of TIGE is 68, and IE = 30. What is the length of diagonal TG?

a)

8

b)

16

c)

15

d)

17

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