Chapter 9, Problem 2CR

To determine

To complete: the given statement.

Answer to Problem 2CR

  $\overline{OB}$ is half of the diameter, then it called as the radius.

Explanation of Solution

Given information:

Given figure,

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

Given statement,

  $\overline{OB}$ is called a________.

Calculation:

A chord is defined as a line whose end point lies on the circle.

A secant is defined as a line that contains a chord. A chord when passed through the center then it is called a diameter. A radius is half of the diameter.

Consider the following figure:

The above diagram shows the chord, diameter, and secant.

Consider the following diagram:

In the above diagram, $\overline{AC}$ is called known as chord and $\overleftrightarrow{AC}$ is called as secant.

The chord $\overline{AB}$ is passed through the center, hence it is known as diameter. The $\overline{OB}$ is half of the diameter, then it called as the radius.