Question

What is the contrapositive of the following statement?

Answer 1

Answer:

For the statement;

If M is the midpoint of $\overline{PQ}$, then $\overline{PM}$ is congruent to $\overline{QM}$

The contrapositive statement is therefore;

If M is not the midpoint of $\overline{PQ}$, then $\overline{PM}$ is not congruent to $\overline{QM}$

Step-by-step explanation:

Contraposition in logic describes the transitioning from an implication/conditional statement into its equivalent contrapositive

The contrapositive of the statement p → q is equal to ~p → ~q

Therefore, the contrapositive of a conditional or implication statement is equivalent, logically to the original statement