wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Geometry CP - Parallel Lines cut by a transversal

Total questions: 120

Worksheet time: 10hrs 0mins

Name
Class
Date
1.

Which two angles are Same-Side Interior Angles

a)

Angles 2 and 3

b)

Angles 1 and 3

c)

Angles 3 and 7

d)

Angles 3 and 5

2.

Which are two Alternate Exterior Angles?

a)

Angles 1 and 6

b)

Angles 1 and 4

c)

Angles 1 and 8

d)

Angles 3 and 7

3.

Which are two Corresponding Angles?

a)

Angle 2 and 3

b)

Angle 1 and 2

c)

Angle 2 and 7

d)

Angle 2 and 5

4.

Which are two Alternate Interior Angles?

a)

Angles 2 and 6

b)

Angles 4 and 5

c)

Angles 4 and 7

d)

Angles 3 and 6

5.

What lines are parallel AJ? CLICK ALL THAT APPLY!

a)

BF

b)

EI

c)

AB

d)

FG

e)

DH

6.

Which lines are skew to JI? CLICK ALL THAT APPLY

a)

BF

b)

CD

c)

ED

d)

DH

e)

HG

7.

Parallel lines have what kind of slope?

a)

The same

b)

Opposite Reciprocals

c)

Opposite

d)

None

8.

Find x

a)

80

b)

100

c)

90

d)

180

9.
What value of x proves that line p is parallel to line r?
a)
14
b)
12.5
c)
15
d)
25
10.
What is the slope of the line that is perpendicular to
y = 1/2(x) + 2.3
a)
-1/2
b)
-2
c)
2
d)
1/2
11.

Which of the following equations represents a line that is perpendicular to the line in the graph? Select all that apply

a)

y = -⅓ x + 5

b)

y = -3x + 7

c)

y = -3x + 1

d)

y = 3x + 5

12.

Are l1 and l2 perpendicular lines?

a)

Yes

b)

No

c)

I know, you have a 50/50 chance, you could just guess

d)

But it is YOUR test tomorrow that you will have to show work for

13.

What's the slope between the two points (1,4) and (3,9)

a)

-5/2

b)

-2/5

c)

5/2

d)

2/5

14.
What is the slope of this line?
a)
1
b)
-1
c)
(1,1)
d)
0
15.
What is the equation of a line parallel to the following line that passes through the given point? 
y = -4x + 6      (2, -1)
a)
y = 1/4x + 6
b)
y = -4x + 7
c)
y = -4x + 2
d)
y = 1/4x -1 
16.
What is the equation of a line that is perpendicular to this line and goes through the given point?
y = 3x + 2      (3, -4)
a)
y = 3x - 2
b)
y = -1/3x - 5
c)
y = 3x - 4
d)
y = -1/3x - 3
17.
Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2
a)
Parallel
b)
Perpendicular
c)
Neither
18.

What line is parallel to SP ?

a)

SR

b)

NQ

c)

LM

d)

QP

19.

What line(s) are perpendicular to SP?

a)

KN

b)

MN and LK

c)

MP and LS

d)

KR

20.

What line is skew to SP?

a)

PM

b)

NM

c)

QR

d)

KR

21.

Which plane is parallel to plane KLM?

a)

QRS

b)

NKR

c)

KRS

d)

MRS

22.

Which types of angles are 2 and 5?

a)

Alternate Interior

b)

Consecutive Interior

c)

Corresponding

d)

Vertical

23.

What type of angles are 1 and 8?

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical

24.

What type of angles are 3 and 7?

a)

Vertical

b)

Corresponding

c)

Alternate Interior

d)

Alternate Exterior

25.

What type of angles are 4 and 5?

a)

Corresponding

b)

Alternate Exterior

c)

Supplementary

d)

Alternate Interior

26.

What type of angles are 6 and 7?

a)

Alternate Interior

b)

Alternate Exterior

c)

Consecutive Interior

d)

Veritcal

27.

Find the measure of angle 1.

a)

115

b)

35

c)

65

28.

Find the measure of angle 2.

a)

115

b)

65

c)

35

29.

Find the measure of angle 1.

a)

49

b)

115

c)

131

30.

Find the measure of angle 2.

a)

131

b)

49

c)

115

31.

Is there enough information in the diagram to prove that j is parallel to k? If so, what theorem would you use?

a)

Not enough information

b)

Yes. Vertical angles.

c)

Yes. Corresponding angles.

d)

Yes. Supplementary angles and Corresponding angles.

32.

Find x.

a)

x = 40

b)

x = 10

c)

x = 20

d)

x = 15

33.

Find x.

a)

x = 29

b)

x = -13

c)

x = 20

d)

x = 3

34.

When the sum of the measures of two angles is 180 degrees, the angles are...

a)

complementary

b)

supplementary

c)

vertical angles

d)

perpendicular

35.

When the sum of the measures of two angles is 90 degrees, the angles are...

a)

complementary

b)

supplementary

c)

parallel

d)

a linear pair

36.

If two lines intersect such that they form a right angle, the lines are...

a)

complementary

b)

supplementary

c)

parallel

d)

perpendicular

37.

If two lines lie in the same plane and do not intersect, they are...

a)

complementary

b)

supplementary

c)

parallel

d)

perpendicular

38.
Which value of x will show that lines l and m are parallel?
a)
20
b)
22
c)
24
d)
25
39.
What value of x proves that line p is parallel to line r?
a)
14
b)
12.5
c)
15
d)
25
40.
Which condition will prove that line l is parallel to line m?
a)
∠1 ≅ ∠3
b)
∠3 ≅ ∠5
c)
∠1 ≅ ∠6
d)
∠6 ≅ ∠5
41.
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
42.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
43.
What is the value of x?
a)
13
b)
48
c)
132
d)
60
44.
A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
45.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
46.

Which equation has a slope that is parallel to the line y = -x + 2?

a)

y = -x - 5

b)

y = 2x + 1

c)

y = x + 2

d)

y = 3x + 2

47.

Which equation has a slope that is perpendicular to y = (1/3)x + 2?

a)

y = 3x + 2

b)

y = x + 2

c)

y = -3x - 1

d)

y = (1/3)x - 1

48.
A line passes through (2, 6) and (-3, -2). Find the slope of the line parallel to it.
a)
m = -8/5
b)
m = -5/8
c)
m = 8/5
d)
m = 5/8
49.

∠1 and ∠9 are classified as:

a)

Vertical Angles

b)

Corresponding Angles

c)

Alternate-Interior Angles

d)

Linear Pair

50.

If angle 1 has a measure of 135o, then m∠2 =

a)

90o

b)

135o

c)

45o

d)

65o

51.

What two angles are vertical angles?

a)

Angle r and angle s

b)

Angle m and angle n

c)

Angle p and angle q

d)

Angle q and angle r

52.

If m∠6 = 50o then m∠4 =

a)

50o

b)

90o

c)

130o

d)

360o

53.

Select the two pairs of angles that represent a linear pair:

a)

Angle 9 and Angle 14

b)

Angle 3 and Angle 4

c)

Angle 12 and Angle 16

d)

Angle 6 and Angle 8

54.

If m∠n = 113o, then m∠s =

a)

180o

b)

90o

c)

67o

d)

113o

55.

What is the m∠J ?

a)

75o

b)

105o

c)

90o

d)

180o

56.

What is m∠Q?

a)

45o

b)

75o

c)

90o

d)

105o

57.

What is m∠x?

a)

76o

b)

104o

c)

90o

d)

100o

58.

What is the m∠y?

a)

76o

b)

14o

c)

104o

d)

180o

59.

What two angles are same-side interior angles?

a)

∠1

b)

∠3

c)

∠5

d)

∠8

60.

If lines are parallel with a transversal, then these two angles are?

a)

Vertical Angles

b)

Corresponding Angles

c)

Exterior Alternative

d)

Interior Alternative

61.

If lines are parallel with a transversal, then these two angles are?

a)

Opposite Side Angles

b)

Supplementary

c)

Same Side Interior

d)

Vertical Angles

62.

If lines are parallel with a transversal, then these two angles are?

a)

Corresponding Angles

b)

Exterior Alternate Angles

c)

Interior Alternate Angles

d)

Vertical Angles

63.

What is true about the measurement of angle 1 and 7?

a)

They are supplementary angles and have a sum of 180 degrees.

b)

They are congruent and supplements to the angle measurement 115 degrees.

c)

They are congruent to angle measurement 115 degrees.

d)

They are corresponding angles.

64.

What is the supplement to an angle that measures 58 degrees?

a)

58

b)

180

c)

132

d)

122

65.

Given parallel lines with a transversal, what is true about angles 5 and 6?

a)

They are corresponding angles.

b)

They are congruent to the measurement of 68 degrees.

c)

They alternate interior angles.

d)

They are supplementary angles.

66.

If lines are parallel with a transversal, then these two angles are...

a)

Supplementary Angles

b)

Corresponding Angles

c)

Alternate Exterior Angles

d)

Parallel Angles

67.

Identify the figure in the picture.

a)

Parallel line

b)

Transversal line

c)

Exterior angle

d)

Interior Angle

68.

Solve for x & list how you found it

a)

32... Same Side Interior = 180

b)

32... Alternate Interiors = 180

c)

32... Corresponding angles are congruent

d)

-20... Alternate Interiors are equal

e)

-20... Same Side Interiors are =

69.

What kind of relationship is between 1 & 12?

a)

Alternate Interior

b)

Vertical

c)

Alternate Exterior

d)

Corresponding

70.

Same Side Interior angles...

a)

Add to be 180

b)

Are congruent

c)

Add to be 90

d)

Are equal

71.

Angle 8 & 15 have what type of relationship?

a)

Alternate Exterior

b)

Alternate Interior

c)

Corresponding

d)

Vertical

e)

There is no relationship

72.

If c & d are parallel, what is b?

a)

Intersector

b)

Transversal

c)

Parallel line

d)

Bisector

73.

Find the value of x if the  m3 = 4x+5°m\angle3\ =\ -4x+5\degree and the  m5 = 13x+39°m\angle5\ =\ -13x+39\degree .

a)

-3.8

b)

3.8

c)

-8

d)

8

74.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
75.
What is the value of x?
a)
60
b)
26
c)
14
d)
10
76.
WHICH IS THE CORRECT EQUATION TO SOLVE FOR X? 
a)
16X+180 = 90
b)
12X - 19 = 4X +1
c)
12X - 19 + 4X +1=90
d)
12X - 19 + 4X +1=180
77.

If m∠6 = 50o then m∠4 =

a)

50o

b)

90o

c)

130o

d)

360o

78.

If angle 1 has a measure of 135o, then m∠2 =

a)

90o

b)

135o

c)

45o

d)

65o

79.

If the  m7 = 115°,m\angle7\ =\ 115\degree,  find the measure of  2.\angle2.  

a)

 115°115\degree  

b)

 65°65\degree  

c)

 180°180\degree  

d)

Cannot be determined

80.

If the  m5 = 63°,m\angle5\ =\ 63\degree,  find the measure of  3.\angle3.  

a)

 63°63\degree  

b)

 117°117\degree  

c)

 180°180\degree  

d)

Cannot be determined

81.

Find the measure of the missing angle.

a)

112 degrees

b)

68 degrees

c)

25 degrees

82.

Find the measure of the missing angle.

a)

100 degrees

b)

67 degrees

c)

113 degrees

83.

Find the measure of the missing angle.

a)

100 degrees

b)

89 degrees

c)

91 degrees

84.

Find the measure of the missing angle.

a)

100 degrees

b)

62 degrees

c)

90 degrees

85.

Solve for x.

a)

100

b)

20

c)

80

d)

4

86.

Solve for x:

a)

x = 75

b)

x = 180

c)

x = 7

d)

x = 23

87.
The angle relationship shown is - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
88.
Supplementary Angles measure _____ degrees.
a)
180
b)
55
c)
100
d)
90
89.

Which of the following represents a pair of alternate interior angles?

a)
b)
c)
90.

Which of the following represents a pair of alternate exterior angles?

a)
b)
c)
91.

Which of the following represents a pair of corresponding angles?

a)
b)
c)
92.

Which of the following pairs of angles are corresponding angles?

a)

∠1 and ∠2

b)

∠1 and ∠4

c)

∠2 and ∠5

d)

∠5 and ∠8

93.

Which of the following pairs of angles are alternate interior angles? (There may be more than one answer)

a)

∠1 and ∠8

b)

∠3 and ∠4

c)

∠4 and ∠5

d)

∠3 and ∠6

94.

Which of the following pairs of angles are alternate exterior angles?

a)

∠1 and ∠8

b)

∠3 and ∠4

c)

∠4 and ∠5

d)

∠3 and ∠6

95.

Q9) Determine the missing angle measurement.

a)

180

b)

135

c)

45

d)

100

96.

If angle 1 is 110o what is the measure of angle 8?

a)

70o

b)

20o

c)

110o

d)

The angle measure can not be determined.

97.

Solve for x:

a)

4

b)

42

c)

14

d)

0

98.

Solve for x:

a)

132

b)

48

c)

38

d)

180

99.

Solve for x:

a)

17

b)

34

c)

108

d)

0

100.
What is the value of x?
a)
-6
b)
22
c)
16
d)
21
101.

What two angles are vertical angles?

a)

Angle r and angle s

b)

Angle m and angle n

c)

Angle p and angle q

d)

Angle q and angle r

102.
What is the value of y?
a)
29
b)
119
c)
58
103.

Find the measure of ∠A.

a)

∠A=82°

b)

∠A=98°

c)

∠A=180°

d)

∠A=8°

104.
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
105.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=25
b)
Complementary; x=5
c)
Supplementary; x=25
d)
Supplementary; x=5
106.
Solve for x.
a)
27
b)
23
c)
47
d)
113
107.

Supply the second reason.

a)

Linear Pair Postulate

b)

Alternate Interior Angles Theorem

c)

Vertical Angles Theorem

d)

Corresponding Angles Postulate

108.

Supply the third reason.

a)

Vertical Angle Theorem

b)

Corresponding Angles Postulate

c)

Alternate Interior Angles Postulate

d)

Same Side Interior Angles Theorem

109.

What is the relationship of ∠4 and ∠7?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

Linear Pair

110.

What is the relationship of ∠16 and ∠8?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

Linear Pair

111.

If A=B and B=C, then A=C. What is this property?

a)

Transitive

b)

Reflexive

c)

Symmetric

d)

Substitution

112.

If you know that angles 1 and 2 are vertical, what else do you know?

a)

Angles 1 and 2 are congruent

b)

Angles 1 and 2 are supplementary

c)

Angles 1 and 2 are right angles

d)

Angles 1 and 2 are corresponding angles

113.

If A=10, then wherever there is an "A" value, you could replace it with 10. What property is this?

a)

Substituion

b)

Transitive

c)

Symmetric

d)

Plug it in

114.
Which lines are parallel?
a)
Line a and Line b
b)
Line c and Line d
c)
No Lines are Parallel
115.
Which pair of angles are congruent?
a)
A and C
b)
C and L
c)
B and W
d)
D and W
116.

What is the value of x?

a)

13

b)

6

c)

29

d)

132

117.

Choose the most precise answer: The relationship between the 1st street and Market Street is ... ?

a)

Parallel

b)

Perpendicular

c)

Intersecting

d)

None of them above

118.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
119.

Name the angle relationship between angle DTA and angle EVH. 

(a)  

120.

Find the value of x. Type your final answer with the number only.

(a)