Question

$overleftrightarrow{jm}$ is the perpendicular bisector of $overline{lk}$.
which segments are congruent?
○ $overline{jn}$ and $overline{ln}$
○ $overline{jn}$ and $overline{nm}$
○ $overline{ln}$ and $overline{nk}$
○ $overline{nk}$ and $overline{nm}$

Explanation:

A perpendicular bisector of a segment divides the segment into two congruent parts and meets it at a right angle. Since $\overleftrightarrow{JM}$ is the perpendicular bisector of $\overline{LK}$, it intersects $\overline{LK}$ at point $N$, splitting $\overline{LK}$ into two equal segments.

Answer:

$\boldsymbol{\overline{LN} \text{ and } \overline{NK}}$