Question

line segment $overline{xy}$ is a perpendicular bisector of segment $overline{ab}$, with the two segments meeting at point $o$. what is true about $overline{ob}$? (1 point)
it has the same length as $overline{xb}$.
it has the same length as $overline{oy}$.
it has the same length as $overline{xo}$.
it has the same length as $overline{ao}$.

Explanation:

Step1: Recall definition of bisector

A bisector divides a segment into two equal - length parts.
Since $\overline{XY}$ is the perpendicular bisector of $\overline{AB}$ and they meet at $O$, it divides $\overline{AB}$ into two equal segments $\overline{AO}$ and $\overline{OB}$.

Answer:

It has the same length as $\overline{AO}$.