Question

1. which of the following statements is true when two parallel lines are cut by a transversal?

a. corresponding angles are complementary.
b. alternate interior angles are supplementary.
c. consecutive interior angles are congruent.
d. alternate interior angles are congruent.

Explanation:

Step1: Recall angle - pair properties

When two parallel lines are cut by a transversal:

• Corresponding angles are congruent (not complementary). So option A is wrong.
• Alternate interior angles are congruent.
• Consecutive interior angles are supplementary. So option C is wrong.
• Alternate interior angles are congruent (not just supplementary).

Answer:

D. Alternate interior angles are congruent.