Question

1. clare used a compass to make a circle with radius the same length as segment ab. she labeled the center c. which statement is true? ab > ce ab > cd

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. Here, the radius of the circle with center \(C\) is equal to the length of segment \(AB\). So \(AB = CF=CD\) (where \(CF\) and \(CD\) are radii of the circle). Also, \(CE\) is a line - segment where \(E\) is outside the circle, so \(CE>CF\).

Step2: Analyze the options

Since \(AB = CD\) (radius of the circle) and \(AB = CF\), we know that \(AB>CE\) is false because \(CE>CF = AB\), and \(AB>CD\) is false because \(AB = CD\) (both are radii of the circle).

Answer:

Neither of the given options is true.