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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Nina has prepared the following two-column proof below. She is given that ∠OLN ≅ ∠LNO and she is try...
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