Question

true or false? the segment $overline{ab}$ is congruent to the segment $overline{bc}$. a. true b. false

Explanation:

Step1: Recall congruent - segment definition

Two segments are congruent if they have the same length.

Step2: Analyze the circle - based segments

In the given circle, if \(B\) is the center of the circle and \(A\) and \(C\) are points on a diameter passing through \(B\), then \(AB\) and \(BC\) are radii of the circle. All radii of a circle have the same length. So, \(\overline{AB}\) and \(\overline{BC}\) have the same length.

Answer:

A. True