Mathematics, 12.10.2020 06:01 dewaynesmith46
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.
Tonya's Proof
Statement Justification
1. line AB ∥ line EF with transversal segment GJ 1. Given
2. ∠AKL ≅ ∠GKB 2. Vertical Angles Theorem
3. ∠GKB ≅ ∠FLK 3. Corresponding Angles Theorem
4. ∠AKL ≅ ∠FLK 4. Transitive Property
Pearl's Proof
Statement Justification
1. line AB ∥ line EF with transversal segment GJ 1. Given
2. ∠AKL ≅ ∠GKB 2. Definition of Adjacent Angles
3. ∠GKB ≅ ∠FLK 3. Corresponding Angles Theorem
4. ∠AKL ≅ ∠FLK 4. Transitive Property
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