Mathematics, 12.08.2020 07:01, Oliviapuffinburger33

Michael and Derrick each completed a separate proof to show that corresponding angles AKG and ELK 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.

Michael's Proof

StatementJustification
1. line AB ∥ line EF with transversal segment GJ 1. Given
2. angle AKG is congruent to angle AKL2. Vertical Angles Theorem
3. angle BKL is congruent to angle ELK3. Alternate Interior Angles Theorem
4. angle AKG is congruent to angle ELK4. Transitive Property

Derrick's Proof

StatementJustification
1. line AB ∥ line EF with transversal segment GJ 1. Given
2. angle AKG is congruent to angle BKL2. Vertical Angles Theorem
3. angle BKL is congruent to angle ELK3. Alternate Interior Angles Theorem
4. angle AKG is congruent to angle ELK4. Transitive Property

Answers: 2

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Michael and Derrick each completed a separate proof to show that corresponding angles AKG and ELK ar...