Question

Complete the proof. Which theorem states that the corresponding angles are congruent?

1) corresponding angles theorem
2) vertical angle theorem
3) alternate interior angles theorem
4) complementary angles theorem

Answer 1

The correct answer is 1) corresponding angles theorem.

Answer 2

The Corresponding Angles Theorem states that corresponding angles are congruent when two parallel lines are intersected by a transversal; thus, the correct answer is option 1.

Step-by-step explanation:

The theorem that states that corresponding angles are congruent when two lines are parallel and cut by a transversal is known as the Corresponding Angles Theorem. Therefore, the correct answer to which theorem indicates that the corresponding angles are congruent is the Corresponding Angles Theorem, which is option 1. This theorem is a vital concept in geometry, ensuring that when two parallel lines are intersected by a transversal, the angles in matching corners—known as corresponding angles—are equal in measure.