Question

this diagram was constructed with straightedge and compass tools. a is the center of one circle, and c is the center of the other. 5. how does the length of segment ce compare to the length of segment ad? ce = 1/2ad ce = 2ad ce = ad ce > ad

Explanation:

Step1: Identify radii of circles

Since \(A\) is the center of one - circle and \(C\) is the center of the other, \(AB = AD\) (radii of circle with center \(A\)) and \(CB=CE\) (radii of circle with center \(C\)). Also, \(AB = CB\) (by construction, the two circles are congruent as they are constructed with the same compass - setting).

Step2: Make the comparison

Since \(AB = AD\) and \(AB = CE\) (because \(AB = CB\) and \(CB = CE\)), we can conclude that \(CE=AD\).

Answer:

C. \(CE = AD\)