Tonya and Pearl each completed a separate proof to show that alternate interior angles AKL and FLK are congruent. Who completed the proof incorrectly? Explain.


Line AB is parallel to EF, transversal GJ crosses line AB at K and crosses line EF at L.


Tonya's Proof



Statement Justification

1. line AB ∥ line EF with transversal segment GJ 1. Given

2. angle AKL is congruent to angle GKB 2. Vertical Angles Theorem

3. angle GKB is congruent to angle FLK 3. Corresponding Angles Theorem

4. angle AKL is congruent to angle FLK 4. Transitive Property



Pearl's Proof


Statement Justification

1. line AB ∥ line EF with transversal segment GJ 1. Given

2. angle AKL is congruent to angle GKB 2. Definition of Adjacent Angles

3. angle GKB is congruent to angle FLK 3. Corresponding Angles Theorem

4. angle AKL is congruent to angle FLK 4. Transitive Property