To get the best deal on Tutoring, call 1-855-666-7440 (Toll Free)

Parallel Lines and Angles Worksheet

Parallel Lines and Angles Worksheet
  • Page 1
 1.  
Identify the pair of corresponding angles.


a.
5 and 6
b.
4 and 6
c.
3 and 7
d.
2 and 7


Solution:

Two angles are corresponding if they occupy corresponding positions.

The corresponding angles are
1 and 5
2 and 6
3 and 7
4 and 8

Hence, among the choices 3 and 7 is the pair of corresponding angles.


Correct answer : (3)
 2.  
In the figure 3 and ________ are alternate exterior angles.

a.
18
b.
20
c.
4
d.
19


Solution:

Two angles are alterante exterior angles if they lie outside the two lines on opposite sides of the transversal.

The alternate exterior angles are 3 and 18

Hence 3 and 18 are alternate exterior angles.


Correct answer : (1)
 3.  
Identify the transversal in the diagram shown.


a.
lines l and m
b.
line l
c.
line n
d.
line m


Solution:

A transversal is a line that intersects two coplanar lines at two distinct points.

Line n intersects lines l and m at two distinct points. Hence line n is the transversal.


Correct answer : (3)
 4.  
Which of the following angles are same side interior angles?

a.
4 and 6
b.
1 and 4
c.
2 and 8
d.
5 and 7


Solution:

Two angles are same side interior angles if they lie between two lines on the same side of the transversal.

The same side interior angles are
3 and 5
4 and 6

Hence among the choices 4 and 6 are same side interior angles.


Correct answer : (1)
 5.  
Identify the alternate interior angles in the figure shown.

a.
4 and 5
b.
3 and 7
c.
1 and 4
d.
2 and 5


Solution:

Two angles are alternate interior angles if they lie between the two lines on the opposite sides of the transversal.

The alternate interior angles are
2 and 7
4 and 5

Hence 4 and 5 are alternate interior angles.


Correct answer : (1)
 6.  
Which among the following are a pair of alternate exterior angles?


a.
1 and 2
b.
2 and 7
c.
4 and 5
d.
2 and 8


Solution:

Two angles are alternate exterior angles if they lie outside the two lines on opposite sides of the transversal.

The alternate exterior angles are
1 and 8
2 and 7

Hence, among the choices 2 and 7 are alternate exterior angles.


Correct answer : (2)
 7.  
Identify a pair of parallel lines in the figure shown.

a.
LG and FL
b.
AG and BH
c.
KJ and JI
d.
EF and DC


Solution:

Two lines are parallel if they lie on the same plane and do not intersect.

Among the given choices AG and BH are the parallel lines.


Correct answer : (2)
 8.  
In the figure, 18 and 20 are

a.
alternate interior angles.
b.
corresponding angles.
c.
same side interior angles.
d.
alternate exterior angles.


Solution:

18 and 20 occupy corresponding positions.

Two angles are corresponding if they occupy corresponding positions.

Hence 18 and 20 are corresponding angles.


Correct answer : (2)
 9.  
In the figure 8 and 11 are

a.
alternate exterior angles
b.
same side interior angles.
c.
alternate interior angles
d.
corresponding angles


Solution:

8 and 11 lie between two lines on same side of the transversal.

Two angles are same side interior angles if they lie between two lines on the same side of the transversal.

Hence 8 and 11 are same side interior angles.


Correct answer : (2)
 10.  
Two lines that are coplanar and do not intersect are called
a.
oblique lines
b.
parallel lines
c.
skew lines
d.
perpendicular lines


Solution:

Points and lines in the same plane are coplanar.

Two lines are parallel if they lie in the same plane and donot intersect.


Correct answer : (2)

*AP and SAT are registered trademarks of the College Board.