What is the contrapositive of the following statement?
If M is the midpoint of PQ, then PM is congruent to OM.
If M is the midpoint of PO, then PM is congruent to OM.
If PM is congruent to OM, then M is the midpoint of PO.
If M is not the midpoint of PQ, then PM is not congruent to QM.
If PM is not congruent to OM, then M is not the midpoint of PQ

Respuesta :

Answer:

For the statement;

If M is the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is congruent to [tex]\overline{QM}[/tex]

The contrapositive statement is therefore;

If M is not the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is not congruent to [tex]\overline{QM}[/tex]

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

Answer:

If M is not the midpoint of , then  is not congruent to

Step-by-step explanation: