9. what is the inverse 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 not the midpoint of $ \overline { p q } $, then $ \overline { p m } $ is not 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 the midpoint of $ \overline { p q } $, then $ \overline { p m } $ is congruent to $ \overline { q m } $

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# Brief Explanations:
The inverse of a conditional statement "If $p$, then $q$" is "If not $p$, then not $q$". In the given statement, $p$ is "$M$ is the midpoint of $\overline{PQ}$" and $q$ is "$\overline{PM}$ is congruent to $\overline{QM}$". So, the inverse is "If $M$ is not the midpoint of $\overline{PQ}$, then $\overline{PM}$ is not congruent to $\overline{QM}$".
# Answer:
If $M$ is not the midpoint of $\overline{PQ}$, then $\overline{PM}$ is not congruent to $\overline{QM}$ (the first option).

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