Question

what is the inverse of the following statement? \if the corresponding angles are congruent, then the lines are parallel.\ if the corresponding angles are not congruent, then the lines are not parallel if the lines are parallel, then the corresponding angles are congruent. if the lines are not parallel, then the corresponding angles are not congruent. if the corresponding angles are congruent, then the lines must be parallel

Explanation:

The inverse of a conditional statement "If \(p\), then \(q\)" is "If not \(p\), then not \(q\)". Here, \(p\) is "the corresponding angles are congruent" and \(q\) is "the lines are parallel". So, we negate both \(p\) and \(q\).

Answer:

If the corresponding angles are not congruent, then the lines are not parallel.