Question

1. given: $overline{ab}$ is the perpendicular bisector of $overline{ik}$. name two lengths that are equal. $overline{ij}$ and $overline{jk}$ $overline{ik}$ and $overline{jk}$ $overline{ab}$ and $overline{ik}$ $overline{aj}$ and $overline{jb}$

Explanation:

Step1: Recall definition of perpendicular bisector

A perpendicular bisector of a line - segment divides the line - segment into two equal parts.

Step2: Identify relevant line - segments

Since $\overline{AB}$ is the perpendicular bisector of $\overline{IK}$, the point $J$ (the intersection of $\overline{AB}$ and $\overline{IK}$) bisects $\overline{IK}$. So, $\overline{IJ}=\overline{JK}$.

Answer:

$\overline{IJ}$ and $\overline{JK}$