There are four theorems. Let's list all of them, highlighting the
hypothesis and
conclusion.
Corresponding Angles TheoremIf two parallel lines are cut by a transversal,then the pairs of correspondingangles are congruent
Alternate Interior Angles TheoremIf two parallel lines are cut by a transversal,then the pairs of alternate interiorangles are congruent
Alternate Exterior Angles TheoremIf two parallel lines are cut by a transversal,then the pairs of alternate exteriorangles are congruent
Consecutive Interior Angles TheoremIf two parallel lines are cut by a transversal,then the pairs of consecutive interiorangles are supplementary
The converse of a conditional statement,
q→p, exchanges the hypothesis and the conclusion of the conditional statement.
Corresponding Angles ConverseIf two lines are cut by a transversal so thatthe corresponding angles are congruent,then the lines are parallel
Alternate Interior Angles ConverseIf two lines are cut by a transversal so thatthe alternate interior angles are congruent,then the lines are parallel
Alternate Exterior Angles ConverseIf two lines are cut by a transversal so thatthe alternate exterior angles are congruent,then the lines are parallel
Consecutive Interior Angles ConverseIf two lines are cut by a transversal so thatthe consecutive interior angles,are supplementarythen the lines are parallel
All of these converses are true.