Question

(b) problem 14: from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: $overline{ap}congoverline{pc}$ prove: $overline{bp}$ is a segment bisector of $overline{ac}$.

Explanation:

A segment bisector divides a segment into two congruent segments. Since $\overline{AP}\cong\overline{PC}$, by the definition of a segment bisector, $\overline{BP}$ (which passes through the mid - point $P$ of $\overline{AC}$) is a segment bisector of $\overline{AC}$.

Answer:

The definition of a segment bisector.