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 $overline{xo}$
it has the same length as $overline{oy}$
it has the same length as $overline{ao}$

Explanation:

Step1: Recall definition of perpendicular bisector

A perpendicular bisector of a line - segment divides the line - segment into two equal parts.
Since $\overline{XY}$ is the perpendicular bisector of $\overline{AB}$ and they meet at point $O$, point $O$ is the mid - point of $\overline{AB}$.

Step2: Determine equal segments

By the definition of a mid - point, $AO = OB$.

Answer:

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