1. what is the converse of the following statement? if m is the midpoint of $ \overline { p q } $, then $ \overline { p m } $ is congruent to $ \overline { q m } $. if m is the midpoint of $ \overline { p q } $, then $ \overline { p m } $ is congruent to $ \overline { q m } $. if $ \overline { p m } $ is not congruent to $ \overline { q m } $, then m is not the midpoint of $ \overline { p q } $. if $ \overline { p m } $ is congruent to $ \overline { q m } $, then m is the midpoint of $ \overline { p q } $. if m is not the midpoint of $ \overline { p q } $, then $ \overline { p m } $ is not congruent to $ \overline { q m } $

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# Brief Explanations:
The converse of a conditional statement "If $p$, then $q$" is "If $q$, then $p$". Here, $p = M$ is the midpoint of $\overline{PQ}$ and $q=\overline{PM}$ is congruent to $\overline{QM}$.

# Answer:
If $\overline{PM}$ is congruent to $\overline{QM}$, then $M$ is the midpoint of $\overline{PQ}$ (the third option).

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