Question

1. which statement about angles formed by parallel lines cut by a transversal is true?

a. all vertical angles are supplementary.
b. all corresponding angles are congruent.
c. all exterior angles are congruent.
d. all alternate interior angles are supplementary.

Explanation:

• Option A: Vertical angles are congruent, not supplementary.
• Option B: When parallel lines are cut by a transversal, corresponding angles are congruent. This is a fundamental property.
• Option C: Exterior angles are not all congruent. For example, consecutive exterior angles are supplementary.
• Option D: Alternate interior angles are congruent, not supplementary.

Answer:

B. All corresponding angles are congruent.