Final answer:
The contrapositive of the statement "If lines are skew, then they are not coplanar" is:
If lines are coplanar, then they are not skew.
Step-by-step explanation:
The contrapositive of the statement "If lines are skew, then they are not coplanar" is:
If lines are coplanar, then they are not skew.
The contrapositive of a conditional statement switches the hypothesis and conclusion and negates both.
So, since the original statement has the hypothesis "lines are skew" and the conclusion "they are not coplanar," the contrapositive has the hypothesis "lines are coplanar" and the conclusion "they are not skew."