Question

select the correct answer.
transversal t cuts parallel lines r and s as shown in the diagram. which theorem does the diagram illustrate?
a. alternate interior angles theorem
b. alternate exterior angles theorem
c. same - side interior angles theorem
d. corresponding angles theorem

Explanation:

Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. In the given diagram, the two shaded angles are alternate interior angles formed by the transversal \( t \) and the parallel lines \( r \) and \( s \).

Answer:

A. Alternate Interior Angles Theorem