Question

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.

Answer 1

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