Question

unit 2 logic test
identify the contrapositive of the statement: if point m is not the mid - point of (overline{xy}) then (xm
eq my).
not enough information.
if point m is the mid - point of (overline{xy}), then (xm = my).
if (xm = my), then point m is the mid - point of (overline{xy}).
if (xm = my), then point m is not the mid - point of (overline{xy}).

Explanation:

The contrapositive of a conditional statement "if p then q" is "if not q then not p". Here, the original statement is "If point M is not the mid - point of $\overline{XY}$ then $XM
eq MY$". The contrapositive should reverse and negate both parts. So, we reverse and negate to get "If $XM = MY$, then point M is the mid - point of $\overline{XY}$".

Answer:

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