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Worksheets

Grade 8 - Quadrilaterals

Total questions: 49

Worksheet time: 2hrs 9mins

Name
Class
Date
1.
Find the value of X.
a)
100
b)
120
c)
125
d)
130
2.

Find the missing angle.

a)

75

b)

105

c)

100

d)

70

3.

What is the measure of ONE interior angle in a regular hexagon?

a)

60°

b)

80°

c)

108°

d)

120°

4.
What is the sum of exterior angles of a pentagon?
a)
180
b)
360
c)
540
d)
760
5.
The sum of the interior angles of a polygon is 1620°.  How many sides does the polygon have?
a)
8
b)
11
c)
3
d)
16
6.
What is the measure of each interior angle of a regular octagon?
a)
135
b)
180
c)
145
d)
190
7.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
8.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
9.

Find the value of x and y.

a)

x = 4, y = 4

b)

x = 4, y = 116

c)

x = 3, y = 116

d)

x = 116, y = 116

10.

Find the value of j and k.

a)

j = 4.5, k = 2

b)

j = 4.5, k = 5

c)

j = 3, k = 10

d)

j = 5, k = 5

11.
Find the value of f.
a)
-5
b)
15
c)
5
d)
20
12.

Solve for x & y.

a)

x = 25, y = 14

b)

x = 27, y = 7

c)

x = 3, y = 9

d)

x = 2, y = 7

13.

What are the values of x, y, and z for this to be a parallelogram?

a)

x=145, y=145,z=145

b)

x=145, y=35, z=35

c)

x=35,y=145, z=35

d)

x=35, y=35, z=145

14.

What are the values of x and y that would make this a parallelogram?

a)

x = 23, y = 10

b)

x = 10, y = 23

15.
Is this quadrilateral a parallelogram?
a)
Yes. Diagonals bisect each other
b)
no
c)
Yes. Opposite angles are congruent
d)
Yes. Opposite sides are congruent
16.

Is this quadrilateral a parallelogram? If so, give a reason.

a)

No

b)

Yes. Opposite sides are parallel

c)

Yes. Opposite sides are congruent

d)

Yes. Opposite angles are congruent

17.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
18.
All parallelograms have __________ sides.
a)
2
b)
4
c)
6
d)
8
19.

Is the quadrilateral a parallelogram? If yes, pick the statement that explains why.

a)

Opposite sides parallel

b)

Opposite angles equal

c)

Opposite sides equal and parallel

d)

Not enough info

20.

Is the quadrilateral a parallelogram? If yes, pick the statement that explains why.

a)

Opposite sides parallel

b)

Opposite sides equal

c)

Opposite sides parallel and equal

d)

Not enough info

21.

Is the quadrilateral a parallelogram? If yes, pick the statement that explains why.

a)

Opposite sides parallel

b)

Opposite sides equal

c)

Opposite sides parallel and equal

d)

Not enough info

22.

The diagonals of a rectangle are

a)

parallel

b)

congruent

c)

perpendicular

d)

not congruent

23.

In a rectangle, consecutive angles are supplementary.

a)

True

b)

False

24.

In a rectangle, all angles are congruent.

a)

True

b)

False

25.
______ rectangles are parallelograms.
a)
All
b)
Some
c)
No
26.

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

27.
What is the measurement of every angle in a rectangle?
a)
180˚
b)
60˚
c)
90˚
d)
20˚
28.

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

29.

Rectangle JKLM, which segment has the same length as KL?

a)

JK

b)

LM

c)

JL

d)

JM

30.

Rectangle JKLM, which segment has the same length as KL?

a)

JK

b)

LM

c)

JL

d)

JM

31.

In the rectangle shown, angle 1 has a measure of 35 degrees. Which statement about angles 1 and 2 is true?

a)

They are supplementary angles.

b)

They are complementary angles.

c)

They are congruent angles.

d)

They are right angles.

32.

Find AB

a)

11

b)

15.6

c)

7.8

d)

5.5

33.

What is PN?

a)

23

b)

46

c)

35.5

34.
a)

x=11

b)

x=18.5

c)

x=6

d)

x=45

35.

(Hint: Plug in x)

a)

82

b)

41

c)

17

d)

90

36.

Find the value of GF.

a)

2

b)

29

c)

58

d)

90

37.

What is the angle of ZWX?

a)

90

b)

190

c)

45

d)

30

38.

What is the angle of WRX?

a)

90

b)

180

c)

45

d)

30

39.

(Hint: These are consecutive angles, then plug in x)

a)

117

b)

14

c)

63

d)

180

40.
Find the measure of DG.
a)
14
b)
28
c)
12
d)
16
41.
Find the missing angle of the trapezoid.
a)
65
b)
115
c)
180
d)
None of these
42.
Find the value of x.
a)
35
b)
3
c)
33
d)
None of these
43.
Find the value of x.
a)
23
b)
28
c)
30
d)
Cannot be determined
44.
I have 4 sides and two sets of adjacent sides that are congruent.
a)
Retangle
b)
Trapazoid
c)
Rhombus
d)
Kite
45.

Which of the following statements is false?

a)

a kite has no parallel sides

b)

a kite has one pair of congruent angles

c)

the diagonals of a kite are perpendicular

d)

the diagonals of a kite are congruent

46.
Which of the following statements is true?
a)
a kite has congruent opposite sides
b)
a kite has two pairs of congruent angles
c)
the diagonals of a kite are perpendicular
d)
the diagonals of a kite form 4 congruent triangles
47.
Which of the following statements is false?
a)
BD and AC are perpendicular
b)
BD and AC are congruent
c)
∠A and ∠C  are congruent
d)
BD bisects AC
48.
Which of the following statements about a kite is false?
a)
one diagonal bisects the other diagonal
b)
two angles are congruent
c)
the diagonals form 4 congruent triangles
d)
the diagonals are perpendicular
49.
Which of the following statements is true?
a)
the diagonals bisect each other
b)
the diagonals are congruent
c)
∠B and ∠D  are congruent
d)
DB bisects AC