Question

(from unit 1, lesson 2.)

1. in the construction, a is the center of one circle and b is the center of the other. which segment has the same length as ab?

a. cb
b. cd
c. ce
d. ca
(from unit 1, lesson 2.)

Explanation:

Step1: Recall circle - radius property

In a circle, all radii are equal. Since \(A\) is the center of one circle and \(B\) is the center of the other, and the circles are constructed in a way that \(AB\) is a part of the geometric figure. The distance \(CA\) is the radius of the circle with center \(A\), and \(AB\) is also a part of the radius - related lengths in the construction. The circles are likely constructed such that \(CA = AB\).

Answer:

D. \(CA\)