Chapter 4.5, Problem 4PS

a.

To determine

To find: The required pair of lines.

Answer to Problem 4PS

  $\overleftrightarrow{JK}\text{ and }\overleftrightarrow{OM}$ .

Explanation of Solution

Given information:

A figure is given as below.

  

Calculation:

A figure is given as below.

  

Alternate interior angles are those pair of angle which are on inner side of parallel lines but on opposite side of transversal line.

Here angle $1$ and angle $4$ are inner side of parallel lines $\overleftrightarrow{JK}\text{ and }\overleftrightarrow{OM}$ $\text{ but on opposite side of transversal line }\overleftrightarrow{JM}$ .

b.

To determine

To find: The required pair of lines.

Answer to Problem 4PS

  $\overleftrightarrow{JO}\text{ and }\overleftrightarrow{KM}$ .

Explanation of Solution

Given information:

Same as part $a$ of this exercise.

Calculation:

A figure is given as below.

  

Alternate interior angles are those pair of angle which are on inner side of parallel lines but on opposite side of transversal line.

Here angle $2$ and angle $3$ are inner side of parallel lines $\overleftrightarrow{JO}\text{ and }\overleftrightarrow{KM}$$\text{but on opposite side of transversal line }\overleftrightarrow{JM}$ .

c.

To determine

To find: The required pair of lines.

Answer to Problem 4PS

  $\overleftrightarrow{JM},\overleftrightarrow{JK},\text{ and }\overleftrightarrow{OM}$ .

Explanation of Solution

Given information:

Same as part $a$ of this exercise.

Calculation:

A figure is given as below.

  

Transversal are line which passes through two lines on same plane at two distinct places.

Here for parallel lines $\overleftrightarrow{JO}\text{ and }\overleftrightarrow{KM}$$\text{three transversal line }\overleftrightarrow{JM},\overleftrightarrow{JK},\text{ and }\overleftrightarrow{OM}\text{ are shown}\text{.}$ .