Question

identify the inverse of the statement: if point m is not the midpoint of $overline{xy}$, then $xm
eq my$.
if $xm = my$, then point m is the midpoint of $overline{xy}$.
if $xm
eq my$, then point m is not the midpoint of $overline{xy}$.
if point m is the midpoint of $overline{xy}$, then $xm = my$.
not enough information.

Explanation:

The inverse of a conditional statement "If p, then q" is "If not p, then not q". Here, p is "point M is not the mid - point of $\overline{XY}$" and q is "XM $
eq$ MY". So the inverse is "If point M is the mid - point of $\overline{XY}$, then XM = MY".

Answer:

If point M is the midpoint of $\overline{XY}$, then XM = MY.