Mathematics, 10.03.2021 17:30 rebeccacruzz2017

I don't get this. Sterling has prepared the following two-column proof below. He is given that ∠OLN ≅ ∠LNO and he is trying to prove that OL ≅ ON.

Triangle OLN, where angle OLN is congruent to angle LNO
Step Statement Reason
1 ∠OLN ≅ ∠LNO: Given
2 Draw OE as a perpendicular bisector to LN: by Construction
3 m∠LEO = 90°: Definition of a Perpendicular Bisector
4 m∠NEO = 90°: Definition of a Perpendicular Bisector
5 LE ≅ EN: Definition of a Perpendicular Bisector
6 ΔOLE ≅ ΔONE: Hypotenuse-Leg (HL) Postulate
7 ∠LEO ≅ ∠NEO: Transitive Property of Equality
8 OL ≅ ON: CPCTC
Sterling made two errors in the proof. Identify and correct the errors. (10 points)

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I don't get this. Sterling has prepared the following two-column proof below. He is given that ∠OLN...

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