Question

the diagram shows how cory used a compass to make a circle with radius the length of segment ab. she located the center c.
what statement is true?
a ab > cd
b ab = cd
c ab > ce
d ab = ce

Explanation:

Step1: Recall circle - radius property

The radius of a circle is the distance from the center of the circle to any point on the circle. In the given circle with center \(C\), \(CD\) is a radius of the circle.

Step2: Analyze the compass - used for radius

When using a compass to draw a circle, the length between the two arms of the compass (the fixed - point and the pencil - point) is set to the radius of the circle. If the compass is used to draw the circle with center \(C\), and assuming the compass was set to a certain length to draw the circle, and if the length of the segment used to set the compass is \(AB\), then \(AB\) is equal to the radius of the circle.

Step3: Compare the lengths

Since \(AB\) is the length used to set the compass to draw the circle and \(CD\) is the radius of the circle, \(AB = CD\).

Answer:

B. \(AB = CD\)