Question

Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent

Answer 1

Sample Response: Because vertical angles are congruent, angles 1 and 4 are congruent. Because corresponding angles are congruent, angles 4 and 8 are congruent. Because angle 4 is congruent to both 1 and 8, angle 1 is congruent to angle 8.

Explanation:

Answer 2

Answer: You can prove that and are congruent using the same method. The converse of this theorem is also true; that is, if two lines and are cut by a transversal so that the alternate exterior angles are congruent.

Explanation: