Question

question 6 of 10 two chords in the same circle are congruent if and only if the associated central angles are supplementary. a. true b. false

Explanation:

Step1: Recall chord - central angle relationship

In a circle, two chords are congruent if and only if the associated central angles are congruent, not supplementary. For example, if we have a circle with center \(O\), and chords \(AB\) and \(CD\), if \(\angle AOB=\angle COD\), then \(AB = CD\) and vice - versa. Supplementary central angles do not imply congruent chords.

Answer:

B. False