Question

angles and lines exam cp geometry a 0 / angles and lines 1. why is cp in the picture below not a perpendicular bisector? cp is congruent to pb. ∠cpb is a right angle. ap is not congruent to pb. c is equidistant from a and b.

Explanation:

Step1: Recall definition of perpendicular bisector

A perpendicular bisector of a line - segment divides the line - segment into two equal parts (congruent segments) and is perpendicular to the line - segment.

Step2: Analyze the given figure

In the figure, for $\overline{CP}$ to be the perpendicular bisector of $\overline{AB}$, we need $\overline{AP}\cong\overline{PB}$. But from the markings, $\overline{AP}$ is not congruent to $\overline{PB}$.

Answer:

C. $\overline{AP}$ is not congruent to $\overline{PB}$.