﻿ Parallel Lines and Angles Worksheet | Problems & Solutions # Parallel Lines and Angles Worksheet

Parallel Lines and Angles Worksheet
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1.
Identify the pair of corresponding angles.  a. $\angle$5 and $\angle$6 b. $\angle$4 and $\angle$6 c. $\angle$3 and $\angle$7 d. $\angle$2 and $\angle$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.

2.
In the figure $\angle$3 and ________ are alternate exterior angles.  a. $\angle$18 b. $\angle$20 c. $\angle$4 d. $\angle$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.

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.

4.
Which of the following angles are same side interior angles?  a. $\angle$4 and $\angle$6 b. $\angle$1 and $\angle$4 c. $\angle$2 and $\angle$8 d. $\angle$5 and $\angle$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.

5.
Identify the alternate interior angles in the figure shown.  a. $\angle$4 and $\angle$5 b. $\angle$3 and $\angle$7 c. $\angle$1 and $\angle$4 d. $\angle$2 and $\angle$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.

6.
Which among the following are a pair of alternate exterior angles?  a. $\angle$1 and $\angle$2 b. $\angle$2 and $\angle$7 c. $\angle$4 and $\angle$5 d. $\angle$2 and $\angle$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.

7.
Identify a pair of parallel lines in the figure shown.  a. $\begin{array}{c}\stackrel{↔}{\text{LG}}\end{array}$ and $\begin{array}{c}\stackrel{↔}{\text{FL}}\end{array}$ b. $\begin{array}{c}\stackrel{↔}{\text{AG}}\end{array}$ and $\begin{array}{c}\stackrel{↔}{\text{BH}}\end{array}$ c. $\begin{array}{c}\stackrel{↔}{\text{KJ}}\end{array}$ and $\begin{array}{c}\stackrel{↔}{\text{JI}}\end{array}$ d. $\begin{array}{c}\stackrel{↔}{\text{EF}}\end{array}$ and $\begin{array}{c}\stackrel{↔}{\text{DC}}\end{array}$

#### 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.

8.
In the figure, $\angle$18 and $\angle$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.

9.
In the figure $\angle$8 and $\angle$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.

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.