Parallel Lines and Angles Worksheet

**Page 1**

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 |

The corresponding angles are

Hence, among the choices

Correct answer : (3)

2.

In the figure $\angle $3 and ________ are alternate exterior angles.

a. | $\angle $18 | ||

b. | $\angle $20 | ||

c. | $\angle $4 | ||

d. | $\angle $19 |

The alternate exterior angles are

Hence

Correct answer : (1)

3.

Identify the transversal in the diagram shown.

a. | lines $l$ and $m$ | ||

b. | line $l$ | ||

c. | line $n$ | ||

d. | line $m$ |

Line

Correct answer : (3)

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 |

The same side interior angles are

Hence among the choices

Correct answer : (1)

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 |

The alternate interior angles are

Hence

Correct answer : (1)

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 |

The alternate exterior angles are

Hence, among the choices

Correct answer : (2)

7.

Identify a pair of parallel lines in the figure shown.

a. | $\begin{array}{c}\overleftrightarrow{\text{LG}}\end{array}$ and $\begin{array}{c}\overleftrightarrow{\text{FL}}\end{array}$ | ||

b. | $\begin{array}{c}\overleftrightarrow{\text{AG}}\end{array}$ and $\begin{array}{c}\overleftrightarrow{\text{BH}}\end{array}$ | ||

c. | $\begin{array}{c}\overleftrightarrow{\text{KJ}}\end{array}$ and $\begin{array}{c}\overleftrightarrow{\text{JI}}\end{array}$ | ||

d. | $\begin{array}{c}\overleftrightarrow{\text{EF}}\end{array}$ and $\begin{array}{c}\overleftrightarrow{\text{DC}}\end{array}$ |

Among the given choices

Correct answer : (2)

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. |

Two angles are corresponding if they occupy corresponding positions.

Hence

Correct answer : (2)

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 |

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

Hence

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 |

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

Correct answer : (2)