Mathematics, 16.11.2020 01:40 Theresab2021

Nina has prepared the following two-column proof below. She is given that ∠OLN ≅ ∠LNO and she is trying to prove that OL ≅ ON. Triangle OLN, where angle OLN is congruent to angle LNO 1. ∠OLN ≅ ∠LNO Reason: Given

2. Draw OE as a perpendicular bisector to LN Reason: by Construction

3. ∠LEO ≅ ∠NEO Reason: Transitive Property of Equality

4. m∠LEO = 90° Reason: Definition of a Perpendicular Bisector

5. m∠NEO = 90° Reason: Definition of a Perpendicular Bisector

6. LE ≅ EN Reason: Definition of a Perpendicular Bisector

7. ΔOLE ≅ ΔONE Reason: Side-Angle-Side (SAS) Postulate

8. OL ≅ ON Reason: CPCTC

Nina made two errors in the proof. Identify and correct the errors.

Answers: 2

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