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:

When two parallel lines are cut by a transversal:

• Corresponding angles are congruent (not complementary), so A is wrong.
• Alternate interior angles are congruent (not supplementary), so B is wrong.
• Consecutive interior angles are supplementary (not congruent), so C is wrong.
• Alternate interior angles are congruent, so D is correct.

Answer:

D. Alternate interior angles are congruent.