Question

from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: $overleftrightarrow{ol}$ bisects $overline{ab}$ at point $o$ and $a - o - b$ prove: $moverline{ao}=moverline{ob}$ a b c d e definition of a segment bisector

Explanation:

A segment bisector divides a line - segment into two equal parts. Here, since $\overleftrightarrow{OL}$ bisects $\overline{AB}$ at point $O$, by the definition of a segment bisector, the measures of the two resulting segments $\overline{AO}$ and $\overline{OB}$ are equal, i.e., $m\overline{AO}=m\overline{OB}$.

Answer:

A. Definition of a segment bisector