Question

clare used a compass to make a circle with radius the same length as segment ab. she labeled the center c. which statement must be true? select the correct choice. a ab = cd b ab = ce c ab = cf

Explanation:

Step1: Recall radius property

All radii of a circle are equal. Since the circle is drawn with radius equal to the length of segment $AB$, and $CD$, $CE$, $CF$ are all radii of the circle centered at $C$.

Step2: Identify equal - length segments

We know that $AB$ (the length used to set the compass width) is equal to the radius of the circle. And $CD = CE=CF$ (radii of the same circle). So $AB$ is equal to any of the radii of the circle centered at $C$.

Answer:

A. $AB = CD$, B. $AB = CE$, C. $AB = CF$