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Worksheets

Squares, Rectangles, and Rhombus

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

ABCD is a rectangle.  m∠BCE = 4x-23 and m∠DCE = 5+5x.  Find m∠BCE. 

a)

25

b)

12

c)

130

d)

32

2.

Given rectangle DEFG, if FD = 3x - 7 and EG = x + 5, find EG.

a)

6

b)

11

c)

7

d)

5

3.

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

a)

180 degrees

b)

90 degrees

c)

60 degrees

d)

45 degrees

4.

ABCD is a rectangle.  m∠BCA = 58.  Find m∠BAC. 

a)

90

b)

58

c)

64

d)

32

5.

Using the properties of the special parallelogram, solve for x and y.

a)

x = 2, y = 1

b)

x = 2, y = 0

c)

x = 1, y = 1

d)

x = 1, y = 0

6.

If AC = 10x+6 and BE = 8x-6, find BD.

a)

3

b)

18

c)

12

d)

36

7.

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

8.

A rhombus is a parallelogram with...

a)

four congruent angles

b)

four right angles

c)

four congruent sides

d)

two congruent sides

9.

A rectangle is a parallelogram with...

a)

four right angles

b)

four congruent sides

c)

two sides parallel

d)

None of the above

10.

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

11.

Name the following shape: 

a)

Rhombus

b)

Rectangle

c)

Square

12.

Name the following shape: 

a)

Rhombus

b)

Rectangle

c)

Square

13.

Name the following shape: 

a)

Rhombus

b)

Rectangle

c)

Square

14.

Find m∠2.

a)

62

b)

28

c)

90

d)

78

15.

If BA=5x+5 and AD=10x-20, find BD.

a)

60

b)

30

c)

5

d)

10

16.

Find y.

a)

2

b)

4

c)

6

d)

8

17.

A square is a rectangle

a)

Sometimes

b)

Always

c)

Never

18.

Classify the quadrilateral using the most specific name.

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

19.

Choose the quadrilateral(s) for which the statement is true: Both pairs of opposite sides are congruent

(There may be more than one answer!)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

20.

Choose the quadrilateral(s) for which the statement is true: Both pairs of opposite angles are congruent

(There may be more than one answer!)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square