Question

consider the statement \if parallel lines are cut by a transversal, then the alternate interior angles are congruent.\ the statement \if alternate interior angles of two lines cut by a transversal are congruent, then the lines are parallel\ is related to the first statement. which term describes the relationship? a) inverse b) negation c) converse d) contrapositive

Explanation:

In logic, for a conditional statement "if p then q", the converse is "if q then p". The first statement is "if parallel lines are cut by a transversal (p), then the alternate - interior angles are congruent (q)". The second statement is "if alternate - interior angles of two lines cut by a transversal are congruent (q), then the lines are parallel (p)", which is in the form of the converse.

Answer:

C. converse