2. in the construction, a is the center of one circle, and b is the center of the other. identify all…

2. in the construction, a is the center of one circle, and b is the center of the other. identify all segments that have the same length as segment ab. a. segment ac b. segment ae c. segment bc d. segment cd e. segment de
Answer
Explanation:
Step1: Recall circle - radius property
In a circle, all radii are equal.
Step2: Analyze circle with center A
In the circle with center A, (AB), (AC), and (AE) are radii of the circle centered at A. So (AB = AC=AE).
Step3: Analyze circle with center B
In the circle with center B, (AB) and (BC) are radii of the circle centered at B. So (AB = BC).
Step4: Analyze (CD) and (DE)
(CD) and (DE) are not radii of either circle and are not equal to (AB).
Answer:
A. segment (AC), B. segment (AE), C. segment (BC)