wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Parallel lines Review

Total questions: 134

Worksheet time: 4hrs 37mins

Name
Class
Date
1.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
2.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
3.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
4.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
5.
Find the value of x. 
a)
x = 133
b)
x = 47
6.
Find y.
a)
50
b)
130
7.
Find the value of x.
a)
69
b)
135
c)
31
d)
145
8.
If angle 2 is 86o, what is the measure of angle 5?
a)
86o
b)
94o
c)
194o
d)
none of the above
9.
If <1 is 115o what is the measure of < 5 ?
a)
75o
b)
65o
c)
115o
d)
None of the above
10.
Angles x and y are.....
a)
alternate interior
b)
alternative exterior
c)
corresponding
d)
same-side interior
11.

Are these parallel lines?

a)

Yes

b)

No

12.

Are these parallel lines?

a)

Yes

b)

No

13.

Are these parallel lines?

a)

Yes

b)

No

14.

Are these parallel lines?

a)

Yes

b)

No

15.

1. Given d || e and <4 = 133, Find <2

a)

28

b)

53

c)

47

d)

133

16.

2. Given d || e and <2 = 74, find <8

a)

16

b)

28

c)

74

d)

106

17.

3. Given d || e and <1 = 155, find <4

a)

25

b)

35

c)

105

d)

155

18.

<1 and <3 are called...

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Same Side Interior Angles

d)

Vertical Angles

19.

<2 and <8 are called...

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Same Side Interior Angles

d)

Vertical Angles

20.

<6 and <1 are called...

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Same Side Interior Angles

d)

Vertical Angles

21.

<4 and <1 are called...

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Same Side Interior Angles

d)

Vertical Angles

22.

What relationship do <1 and <3 have...

a)

Congruent

b)

Supplementary

c)

Complementary

d)

No Relationship

23.

What relationship do <5 and <7 have...

a)

Congruent

b)

Supplementary

c)

Complementary

d)

No Relationship

24.

What relationship do <5 and <3 have...

a)

Congruent

b)

Supplementary

c)

Complementary

d)

No Relationship

25.

1. Given d || e and <4 = 133, Find <2

a)

28

b)

53

c)

47

d)

133

26.

2. Given d || e and <2 = 74, find <8

a)

16

b)

28

c)

74

d)

106

27.

3. Given d || e and <1 = 155, find <4

a)

25

b)

35

c)

105

d)

155

28.

<1 and <3 are called...

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Same Side Interior Angles

d)

Vertical Angles

29.

<2 and <8 are called...

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Same Side Interior Angles

d)

Vertical Angles

30.

<6 and <1 are called...

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Same Side Interior Angles

d)

Vertical Angles

31.

<4 and <1 are called...

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Same Side Interior Angles

d)

Vertical Angles

32.

What relationship do <1 and <3 have...

a)

Congruent

b)

Supplementary

c)

Complementary

d)

No Relationship

33.

What relationship do <5 and <7 have...

a)

Congruent

b)

Supplementary

c)

Complementary

d)

No Relationship

34.

What relationship do <5 and <3 have...

a)

Congruent

b)

Supplementary

c)

Complementary

d)

No Relationship

35.
Which pair of angles must be supplementary so that r is parallel to s?
a)
∠2 and ∠3
b)
∠5 and ∠6
c)
∠4  and ∠10
d)
∠6  and ∠14
36.
Which value of x will show that lines l and m are parallel?
a)
20
b)
22
c)
24
d)
25
37.
What value of x proves that line p is parallel to line r?
a)
14
b)
12.5
c)
15
d)
25
38.
Which value of x will show that line m is parallel to line r?
a)
33
b)
25
c)
24
d)
20
39.
What value of x proves that lines l and m are parallel?
a)
21
b)
23
c)
40
d)
57
40.
If a // b and c // d in the figure below, then what is the value of x?
a)
47
b)
57
c)
133
d)
143
41.
Which of the following relationship proves that j is parallel to k?
a)
∠3 and ∠4 are supplementary
b)
∠4 and ∠5 are supplementary
c)
∠1 ≅ ∠3
d)
∠2 ≅ ∠3
42.
Line v is a transversal.  Which is a true statement?
a)
w // x and x // y
b)
w // x and y // z
c)
w // y and x // z
d)
w // z and x // y
43.
Which condition will prove that line l is parallel to line m?
a)
∠1 ≅ ∠3
b)
∠3 ≅ ∠5
c)
∠1 ≅ ∠6
d)
∠6 ≅ ∠5
44.
Which condition will prove that line l is parallel to line m?
a)
∠1 ≅ ∠3
b)
∠3 ≅ ∠5
c)
∠1 ≅ ∠6
d)
∠6 ≅ ∠5
45.
Line l and m are cut by transversal n.  Which statement proves that line l is parallel to line m?
a)
∠2 ≅ ∠3
b)
∠2 ≅ ∠6 
c)
m∠7 + m∠8 = 180°
d)
m∠3 + m∠5 = 90°
46.
What type of angle pair is ∠1 and ∠5?
a)
alternate interior angles
b)
corresponding angles
c)
alternate exterior angles
d)
vertical angels. 
47.

What type of angle pair is ∠1 and ∠3?

a)

alternate interior angles

b)

linear pair

c)

corresponding angles

d)

vertical angles

48.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
49.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
50.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
51.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
52.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
53.
A line that passes through 2 or more lines is called a ______________.
a)
transitive
b)
passer through line
c)
transversal
d)
bisector
54.
Angle C and P are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
55.
Angle S and A are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
56.

If ∠2 is supplementary to ∠3, then line a is parallel to line _.

(a)  

57.

If ∠2 is supplementary to ∠3, which of the following can be used to determine lines are parallel?

a)

Corresponding Angles Converse

b)

Alternate Interior Angles Converse

c)

Alternate Exterior Angles Converse

d)

Interiors on Same Side Converse

e)

None of the above

58.

If ∠8 ≅ ∠6, then ________.

a)

line b is parallel to line a

b)

line c is parallel to line a

c)

line b is parallel to line d

d)

line c is parallel to line d

e)

Cannot determine 2 lines to be parallel.

59.

If ∠8 ≅ ∠6, which of the following can be used to determine lines are parallel?

a)

Corresponding Angles Converse

b)

Alternate Interior Angles Converse

c)

Alternate Exterior Angles Converse

d)

Interiors on Same Side Converse

e)

none of the above

60.

If ∠1 ≅ ∠3, then ________.

a)

line c is parallel to line d

b)

line a is parallel to line b

c)

Cannot determine 2 lines to be parallel.

d)

line c is parallel to line a

e)

line b is parallel to line d

61.

If ∠1 ≅ ∠3, which of the following can be used to determine lines are parallel?

a)

Corresponding Angles Converse

b)

Alternate Interior Angles Converse

c)

Alternate Exterior Angles Converse

d)

Interiors on Same Side Converse

e)

None of the above

62.

If ∠2 ≅ ∠10, then (a)   .

63.

If ∠2 ≅ ∠10, which of the following can be used to determine lines are parallel?

a)

Corresponding Angles Converse

b)

Alternate Interior Angles Converse

c)

Alternate Exterior Angles Converse

d)

Interiors on Same Side Converse

e)

None of the above

64.

If ∠9 ≅ ∠12, then ________.

a)

line a is parallel to line b

b)

line d is parallel to line c

c)

none of the lines can be determined to be parallel.

d)

line a is parallel to line d

e)

line c is parallel to line b

65.

If ∠9 ≅ ∠12, which of the following can be used to prove lines are parallel?

a)

Corresponding Angles Converse

b)

Alternate Interior Angles Converse

c)

Alternate Exterior Angles Converse

d)

Interiors on Same Side Converse

e)

None of the above can be used

66.

If ∠5 ≅ ∠10, then ________.

a)

line b is parallel to line a

b)

line c is parallel to line a

c)

line b is parallel to line d

d)

line c is parallel to line d

e)

Cannot determine 2 lines to be parallel.

67.

If ∠5 ≅ ∠10, which of the following can be used to prove lines are parallel?

a)

Corresponding Angles Converse

b)

Alternate Interior Angles Converse

c)

Alternate Exterior Angles Converse

d)

Interiors on Same Side Converse

e)

None of the above can be used

68.

If ∠6 is supplementary to ∠7, then ________.

a)

line b is parallel to line a

b)

line c is parallel to line a

c)

line b is parallel to line d

d)

line c is parallel to line d

e)

Cannot determine 2 lines to be parallel.

69.

If ∠6 is supplementary to ∠7, which of the following can be used to prove lines are parallel?

a)

Corresponding Angles Converse

b)

Alternate Interior Angles Converse

c)

Alternate Exterior Angles Converse

d)

Interiors on Same Side Converse

e)

None of the above can be used

70.

If m∠5=65˚ and m∠9=115˚, then ________.

a)

line b is parallel to line a

b)

line c is parallel to line a

c)

line b is parallel to line d

d)

line c is parallel to line d

e)

Cannot determine 2 lines to be parallel.

71.

If m∠5=65˚ and m∠9=115˚, which of the following can be used to prove lines are parallel?

a)

Corresponding Angles Converse

b)

Alternate Interior Angles Converse

c)

Alternate Exterior Angles Converse

d)

Interiors on Same Side Converse

e)

None of the above can be used

72.

If ∠1 ≅ ∠8, then ________.

a)

line b is parallel to line a

b)

line c is parallel to line a

c)

line b is parallel to line d

d)

line c is parallel to line d

e)

Cannot determine 2 lines to be parallel.

73.

If ∠1 ≅ ∠8, which of the following can be used to prove lines are parallel?

a)

Corresponding Angles Converse

b)

Alternate Interior Angles Converse

c)

Alternate Exterior Angles Converse

d)

Interiors on Same Side Converse

e)

None of the above can be used

74.

If ∠11 ≅ ∠7, then ________.

a)

line b is parallel to line a

b)

line c is parallel to line a

c)

line b is parallel to line d

d)

line c is parallel to line d

e)

Cannot determine 2 lines to be parallel.

75.

If ∠11 ≅ ∠7, which of the following can be used to prove lines are parallel?

a)

Corresponding Angles Converse

b)

Alternate Interior Angles Converse

c)

Alternate Exterior Angles Converse

d)

Interiors on Same Side Converse

e)

None of the above can be used

76.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
77.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
78.

Classify each triangle by its angles and sides.

a)

Acute, Isosceles

b)

Obtuse, Isosceles

c)

Right, Scalene

d)

Equiangular, Equilateral,

e)

Acute, Scalene

79.

Classify each triangle by its angles and sides.

a)

Acute, Isosceles

b)

Obtuse, Isosceles

c)

Right, Scalene

d)

Equiangular, Equilateral,

e)

Acute, Scalene

80.

Classify each triangle by its angles and sides.

a)

Acute, Isosceles

b)

Obtuse, Isosceles

c)

Right, Scalene

d)

Equiangular, Equilateral,

e)

Acute, Scalene

81.
Solve for x.
a)
16
b)
11
c)
50
d)
6
82.
Find the measure of the angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
83.
Solve for x.
a)
6
b)
-10
c)
7
d)
-9
84.

Find the value of x

a)

1

b)

15

c)

11

d)

3

85.
What type of triangle has only one obtuse angle and two congruent sides?
a)
Right Isosceles Triangle
b)
Obtuse Isosceles Triangle
c)
Right Scalene Triangle
d)
Acute Scalene Triangle
86.
What type of triangle has only acute angles and no congruent sides?
a)
Right Isosceles Triangle
b)
Obtuse Isosceles Triangle
c)
Right Scalene Triangle
d)
Acute Scalene Triangle
87.

solve for x.

a)

50

b)

40

c)

37

d)

52

88.
Find the measure of the angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
89.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
90.
What is the third angle of a triangle whose 1st angle is 79 and the 2nd angle is 43?
a)
43
b)
58
c)
72
d)
101
91.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
92.
Angles that are exactly 90 degrees are called _____ ______.
a)
tight angles
b)
acute angles
c)
obtuse angles
d)
right angles
93.
Which of the following terms best describes Angle d?
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
94.

Find the indicated angle. (What is ?)

a)

91°

b)

81°

c)

89°

d)

109°

95.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
96.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

97.

Find the missing angle

a)

65

b)

75

c)

55

d)

50

98.

∠1 and ∠2 are _____________

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

99.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
100.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
101.
a)
x = 118
b)
x = 108
c)
x = 28
d)
x = 58
102.

Which two angles are the remote interior angles to Angle W?

a)

Angle X and Angle Y

b)

Angle X and Angle Z

c)

Angle Y and Angle Z

d)

Angle Z and Angle W

103.

Which two angles are the remote interior angles to Angle A?

a)

Angle C and Angle B

b)

Angle D and Angle B

c)

Angle C and Angle D

d)

Angle B and Angle A

104.

What is the measure of x?

a)

101°

b)

111°

c)

121°

d)

131°

105.

Find the indicated angle. (What is ?)

a)

91°

b)

81°

c)

89°

d)

109°

106.

Find the indicated angle measure. (What is ?)

a)

100°

b)

39°

c)

107°

d)

73°

107.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

108.

Find the indicated angle measure (What is ?)

a)

80°

b)

90°

c)

70°

d)

60°

109.

Set up an equation to find x.

a)

42 + 8x = 2 + 12x

b)

2 + 12x + 42 = 8x

c)

42 + 8x + 2 + 12x = 180

d)

42 + 8x = 180

110.

Set up an equation to find x.

a)

52 + 5x + 16 + 10x + 8 = 180

b)

52 - 5x + 16

c)

52 + 5x + 16 = 10x + 8

d)

52 + 10x + 8 = 5x +16

111.

Solve for x.

a)

1

b)

2

c)

3

d)

4

112.

Find the measure of each angle indicated.

a)

70°70\degree

b)

170°170\degree

c)

10°10\degree

d)

40°40\degree

113.

Find the measure of each angle indicated.

a)

5°5\degree

b)

165°165\degree

c)

65°65\degree

d)

60°60\degree

114.

Find the measure of each angle indicated.

a)

50°50\degree

b)

120°120\degree

c)

30°30\degree

d)

20°20\degree

115.

Find the measure of each angle indicated.

a)

105°105\degree

b)

75°75\degree

c)

55°55\degree

d)

115°115\degree

116.

Find the measure of each angle indicated.

a)

95°95\degree

b)

185°185\degree

c)

55°55\degree

d)

100°100\degree

117.

Find the measure of each angle indicated.

a)

180°180\degree

b)

190°190\degree

c)

30°30\degree

d)

20°20\degree

118.

Find the measure of each angle indicated.

a)

94°94\degree

b)

30°30\degree

c)

40°40\degree

d)

86°86\degree

119.

Find the measure of each angle indicated.

a)

60°60\degree

b)

130°130\degree

c)

50°50\degree

d)

110°110\degree

120.

Which of the following angles are remote interior angles to

d\angle d  ?

a)

a and b\angle a\ and\ \angle b  

b)

a and c\angle a\ and\ \angle c  

c)

b and d\angle b\ and\ \angle d  

d)

a, b, and c\angle a,\ \angle b,\ and\ \angle c  

121.

How are you feeling about Exterior Angle Theorem?

a)

I GOT THIS!!!

b)

I understand, not quite an expert though.

c)

I am still a little confused and I need more practice.

d)

I DO NOT GET THIS!!!

122.

Find the measure of each angle indicated.

a)

70°70\degree

b)

170°170\degree

c)

10°10\degree

d)

40°40\degree

123.

Find the measure of each angle indicated.

a)

5°5\degree

b)

165°165\degree

c)

65°65\degree

d)

60°60\degree

124.

Find the measure of each angle indicated.

a)

50°50\degree

b)

120°120\degree

c)

30°30\degree

d)

20°20\degree

125.

Find the measure of each angle indicated.

a)

105°105\degree

b)

75°75\degree

c)

55°55\degree

d)

115°115\degree

126.

Find the measure of each angle indicated.

a)

95°95\degree

b)

185°185\degree

c)

55°55\degree

d)

100°100\degree

127.

Find the measure of each angle indicated.

a)

180°180\degree

b)

190°190\degree

c)

30°30\degree

d)

20°20\degree

128.

Find the measure of each angle indicated.

a)

94°94\degree

b)

30°30\degree

c)

40°40\degree

d)

86°86\degree

129.

Find the measure of each angle indicated.

a)

60°60\degree

b)

130°130\degree

c)

50°50\degree

d)

110°110\degree

130.

Which of the following angles are remote interior angles to

d\angle d  ?

a)

a and b\angle a\ and\ \angle b  

b)

a and c\angle a\ and\ \angle c  

c)

b and d\angle b\ and\ \angle d  

d)

a, b, and c\angle a,\ \angle b,\ and\ \angle c  

131.

How are you feeling about Exterior Angle Theorem?

a)

I GOT THIS!!!

b)

I understand, not quite an expert though.

c)

I am still a little confused and I need more practice.

d)

I DO NOT GET THIS!!!

132.
Are the triangles similar?
a)
Yes
b)
No
133.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
134.
Which triangles are similar to triangle A?
a)
B
b)
C
c)
Both
d)
None