Chapter 9, Problem 4CT

To determine

To classify: the given statement as true or false.

Answer to Problem 4CT

The above statement is True.

Explanation of Solution

Given information:

If a line bisects a chord, that line must pass through the center of the circle.

Calculation:

Consider the statement:

If a line bisects a chord, that line must pass through the center of the circle.

Consider the following diagram:

From the above diagram the line $\overline{OD}$ bisects the chord $\overline{AB}$ , then it passes through the center of the circle.

Hence, the given statement is true.