Question

consider this theorem.
if two lines form congruent adjacent angles, then the lines are perpendicular.
which statement below represents the contrapositive?

○ if two lines are perpendicular, then two lines form congruent adjacent angles.

○ if two lines form congruent adjacent angles, then the lines are not perpendicular.

○ if two lines are not perpendicular, then the lines do not form congruent adjacent angles.

○ if two lines do not form congruent adjacent angles, then the lines are not perpendicular.

Explanation:

The contrapositive of a conditional statement "If P, then Q" is "If not Q, then not P". For the given theorem "If two lines form congruent adjacent angles (P), then the lines are perpendicular (Q)", we negate both the conclusion (Q) and the hypothesis (P), then reverse their order.

Answer:

If two lines are not perpendicular, then the lines do not form congruent adjacent angles.