Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Conditions of Special Parallelograms

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

If JOSE is a rhombus, JO = 3x - 5 and OS = 13 cm. What is the perimeter of JOSE?

a)

6 cm

b)

18 cm

c)

48 cm

d)

52 cm

2.

If PN = 2x + 5, ON = x + 3, and OS = 3x - 2. Solve for PS.

a)

7 units

b)

10 units

c)

17 units

d)

19 units

3.

A quadrilateral opposite angles congruent would best be described as a -?-

a)

square

b)

rectangle

c)

rhombus

d)

parallelogram

4.

The fact that diagonals are ⊥ means this shape is a -?-

a)

quadrilateral

b)

rectangle

c)

rhombus

d)

parallelogram

5.

Find the measure of angle b.

a)

b = 51

b)

b = 129

6.

The figure is a parallelogram.

Solve for x.

a)

x = 1

b)

x = 11

c)

x = 7

d)

x = 6

7.

WXYZ is a parallelogram. Find XW

a)

cannot be determined

b)

3

c)

11

d)

24

8.

a)

A

b)

B

c)

C

d)

D

9.
a)

139

b)

41

c)

180

d)

10

10.

What is the measure of angle D?

a)

132

b)

66

c)

114

d)

48

11.

Determine whether the figure is a parallelogram.  If so, state the reason.

a)

Yes, quadrilateral with 2 pairs of opposite sides ≅

b)

Yes, quad with any ∠ supplementary to both consecutive ∠s

c)

Yes, quad with 1 pair of opposite sides || and ≅

d)

not a parallelogram

12.

Find v.

a)

81

b)

4

c)

27

d)

90

13.

Find y.

a)

2

b)

4

c)

15

d)

10

14.

If JOSE is a rhombus and the measure of angle ESO is 124, what is the measure of angle SEO?

a)

28

b)

56

c)

62

d)

90

15.

Which statement is true?

a)

A rhombus is never a square.

b)

A rhombus is always a square.

c)

A rhombus is never a rectangle.

d)

A rhombus is always a parallelogram.

16.

The figure is a parallelogram.  
Solve for x.  

a)

7

b)

2

c)

0

d)

4

17.

Find the measure of angle 1

a)

54

b)

108

c)

72

d)

36

18.

What is the value of x?

a)

132

b)

66

c)

114

d)

48

19.

In the diagram below, PQRS is a rhombus. What are the values of x and y?

a)

x = 8, y = 4

b)

x = 10, y = 6

c)

x = 5, y = 6

d)

x = 4, y = 12

20.

Which quadrilateral(s) have congruent diagonals? Select all that apply.

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square