Q:

Two chords are congruent if and only if the associated Central angles are congruent. True or false.

Accepted Solution

A:
Answer:TrueStep-by-step explanation:In geometry, a chord is any line segment that join two points on a circle while a central angle a central angle is an angle between two radii in a circle. Two chords are congruent if they measure the same length and this occur if and only if the associated Central angles are congruent. To understand this, focus on the figures below. The lines in red are chords and A and B are central angles. The chords will be congruent if and only if the associated Central angles are congruent, that is, A = B.