Question

4 from unit 1, lesson 1 this diagram shows how 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? a ab = cd b ab = ce c ab = cf d ab = ef + learning targets + i can follow instructions to create a construction. + i can use precise mathematical language to describe a construction.

Explanation:

Step1: Recall the property of radius

The radius of a circle is the distance from the center of the circle to any point on the circle. So, \(CD = CF\) (both are radii of the circle with center \(C\)).

Step2: Use the given condition

Since the circle is made with radius the same length as segment \(AB\), we have \(AB = CD\) (because \(CD\) is a radius of the circle).

Answer:

A. \(AB = CD\)