Question

$\overline{MN}$ is the perpendicular bisector of the line segment $\overline{AB}$. If $\overline{AB}$ measures 6 cm, what is the length of $\overline{AN}$ and $\overline{NB}$?

Answer 1

In the given figure, $\overline{AB}=6cm$.

Since, $\overline{MN}$ is the perpendicular bisector of $\overline{AB}$, $\overline{MN}$ bisects the line $\overline{AB}$.
$\Rightarrow \overline{AN}=\overline{NB}$

$\overline{AN}=\frac{\overline{AB}}{2}=\frac{6cm}{2}=3cm$

So, $\overline{AN}=\overline{NB}=3cm$.