Chapter 9, Problem 5CR

To determine

To complete: the given statement.

Answer to Problem 5CR

  $\overleftrightarrow{CD}$ is called as a tangent.

Explanation of Solution

Given information:

Points $A,B$ and $C$ lie on $\odot O$ .

$\overleftrightarrow{CD}$ intersects $\odot O$ in one point. $\overleftrightarrow{CD}$ is called______.

Calculation:

A tangent is defined as a line in the plane of circle which intersects the circle in exactly one point.

Refer to the figure provided in the textbook.

In the above diagram, $\overleftrightarrow{CD}$ intersects $\odot O$ in one point.

Therefore, from the above definition of tangent, $\overleftrightarrow{CD}$ is called as a tangent.