Chapter 9, Problem 6CR

To determine

To complete: the given statement.

Answer to Problem 6CR

The correct word to fill in the blanks is perpendicular.

Explanation of Solution

Given information:

Lines $\overleftrightarrow{ZX}$ and $\overleftrightarrow{ZY}$ are tangent to $\odot P$ .

$\overline{PX}$ is drawn, would be____to $\overleftrightarrow{XZ}$ .

Calculation:

In the referred diagram, it is given that, Lines $\overleftrightarrow{ZX}$ and $\overleftrightarrow{ZY}$ are tangent to $\odot P$ .

It is given that, if a line is drawn as the tangent to the circle, then the line is perpendicular to the point of tangency.

In the above diagram, if $\overline{PX}$ drawn, then it will be perpendicular to $\overleftrightarrow{ZX}$ , because $\overline{PX}$ is the radius of the circle and it is perpendicular to the point of tangency.

Hence, the correct word to fill in the blanks is perpendicular.