Chapter 9.8, Problem 7PSA

To determine

To find: The lines are secant.

Answer to Problem 7PSA

The lines $\overleftrightarrow{PB}$ and $\overleftrightarrow{PD}$ are secants.

Explanation of Solution

Given information:

Lines are $\overleftrightarrow{PB}$ , $\overleftrightarrow{EF}$ , $\overleftrightarrow{PD}$ and $\overleftrightarrow{GH}$ .

A line that intersects a circle at two points is called a secant.

  

  $\overleftrightarrow{PB}$ intersects circle at points A and B .

  $\overleftrightarrow{EF}$ intersects circle at point F only.

  $\overleftrightarrow{PD}$ intersects circle at points C and D .

  $\overleftrightarrow{GH}$ does not intersects the circle at any point.

Thus,the lines $\overleftrightarrow{PB}$ and $\overleftrightarrow{PD}$ are secants.