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Worksheets

Lines & Transversals Angle Pairs

Total questions: 51

Worksheet time: 1hrs 15mins

Name
Class
Date
1.
How many lines does a Transversal need to intersect?
a)
Only one
b)
At least two
c)
Three
d)
More than four
2.
Angles on opposite sides of a vertex and are congruent are called _____.
a)
Vertical angles
b)
Corresponding Angles
c)
Supplementary Angles
d)
Alternate Interior Angles
3.
Angles inside a pair of parallel lines on the opposite sides of a transversal that are congruent are called _____.
a)
Vertical angles
b)
Corresponding Angles
c)
Supplementary Angles
d)
Alternate Interior Angles
4.
Angles which add up to 180° are called _____.
a)
Vertical angles
b)
Corresponding Angles
c)
Supplementary Angles
d)
Alternate Interior Angles
5.
∠2 & ∠4 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
6.
∠6 & ∠7 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
7.
∠2 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
8.
∠3 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
9.
a)
∠A=82°
b)
∠A=98°
c)
∠A=180°
d)
∠A=8°
10.
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
11.
a)
∠J=105°
b)
∠J=75°
c)
∠J=15°
d)
∠J=90°
12.
a)
∠L=51°
b)
∠L=129°
c)
∠L=180°
d)
∠L=39°
13.
a)
∠M=47°
b)
∠M=133°
c)
∠M=180°
d)
∠M=33°
14.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
15.
What is the measure of ∠3?
a)
55
b)
155
c)
45
d)
135
16.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
17.
If angle P measures 60 degrees, what is the measure of angle C?
a)
60 degrees
b)
30 degrees
c)
120 degrees
18.
Angle Q and B are...
a)
Supplementary
b)
Congruent
19.
Angle Q and B are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
20.

Which angles are corresponding angles?

a)

∠16 and ∠2

b)

∠9 and ∠16

c)

∠12 and ∠13

d)

∠5 and ∠6

21.

What is the relationship between angle 7 and angle 1?

a)

Corresponding Angles

b)

Same-Side Interior Angles

c)

Alternate Interior Angles

d)

Alternate Exterior Angles

22.

Which angles are alternate exterior angles?

a)

1,2

b)

3,4

c)

2,7

d)

2,8

23.

What angles are corresponding angles?

a)

2,3 6,7 1,4 5,8

b)

1,5

c)

1,5 & 4,8

d)

1,5, & 4,8 & 2,3

24.

k||m

a)

5x+12+7x−28=180°

b)

5x+12=7x-28

c)

5x+12=180°

d)

7x-28=90°

25.

Solve for X

a)

-1

b)

1

c)

-7

d)

7

26.

Solve for X

a)

8

b)

-8

c)

2

d)

-2

27.
What is the m∠1?
a)
m∠1 = 119°
b)
m∠1 = 71°
c)
m∠1 = 61°
d)
m∠1 = 51°
28.

A road construction crew is putting in a new railroad crossing across a road in a small town. The crew has already confirmed the railroad tracks are parallel. The crew also confirmed the sides of the road are parallel. So, in the diagram, c||d and a||b. Solve for x.

a)

53°53\degree

b)

127°127\degree

c)

37°37\degree

d)

84°84\degree

29.

Given:  3  12\angle3\ \cong\ \angle12 . What line is the transversal?

a)

line a

b)

line b

c)

line c

d)

line d

e)

line e

30.

Given:  3  12\angle3\ \cong\ \angle12 . What lines are parallel? (click 2 answers)

a)

line a

b)

line b

c)

line c

d)

line d

e)

line e

31.

Lines j and k are parallel. If m∠7 = (7x + 1)° and m∠1 = (20x − 10)°, what is m∠1?

a)

 40°40\degree  

b)

 130°130\degree  

c)

 50°50\degree  

32.
Name a line skew to FG
a)
EH
b)
DC
c)
AD
d)
FB
33.
Name a line parallel to AD
a)
EH
b)
AB
c)
DC
d)
HG
34.
Name a line perpendicular to AD
a)
EH
b)
AB
c)
CG
d)
HG
35.
Name a line skew to AD
a)
EH
b)
AB
c)
CG
d)
EH
36.
Name a line skew to AB
a)
EH
b)
DC
c)
AE
d)
HG
37.
Name a line parallel to AB
a)
EH
b)
DC
c)
AE
d)
FG
38.
Are lines j and k skew?
a)
yes
b)
no
39.

Name a segment skew to segment EF.

a)

segment CD

b)

segment DH

c)

segment AE

d)

segment FG

40.

Name a segment parallel to segment EF.

a)

segment CD

b)

segment DH

c)

segment AE

d)

segment FG

41.

9) Given the following two parallel lines that have been cut by a transversal.


Choose all the options that represent corresponding angles.

a)

5\angle5  and  3\angle3  

b)

3\angle3  and 8\angle8  

c)

2\angle2  and 7\angle7  

d)

6\angle6  and 4\angle4  

42.
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
43.

Name the relatoinship between the two angles given.

∠12 and ∠22

a)

alternate interior angles

b)

alternate exterior angles

c)

same-side interior angles

d)

corresponding angles

44.

Name the relatoinship between the two angles given.

∠12 and ∠16

a)

alternate interior angles

b)

alternate exterior angles

c)

same-side interior angles

d)

corresponding angles

45.

Name the relatoinship between the two angles given.

∠21 and ∠24

a)

alternate interior angles

b)

alternate exterior angles

c)

same-side interior angles

d)

corresponding angles

46.

Name the relatoinship between the two angles given.

∠23 and ∠21

a)

alternate interior angles

b)

alternate exterior angles

c)

same-side interior angles

d)

corresponding angles

47.

Name the relatoinship between the two angles given.

∠25 and ∠19

a)

alternate interior angles

b)

alternate exterior angles

c)

same-side interior angles

d)

corresponding angles

48.

a)

Corresponding

b)

Converse of Corresponding

c)

Alternate Interior

d)

Converse of Alternate Interior

e)

Given

49.

a)

Vertical

b)

Substitution

c)

Same-Side Interior

d)

Defn. of Supplementary

e)

Linear Pairs add to 180

50.

What is the reason for step 2

a)

Same-Side Interior

b)

Defn. Of Supplementary

c)

Linear Pairs add to 180

d)

Congruent Supplements Thm.

51.

What is the reason for step 3?

a)

Alternate Exterior

b)

Alternate Interior

c)

Linear Pairs add to 180

d)

Vertical