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Mathematics, 09.11.2020 20:30 Imelda593

Gideon has prepared the following two-column proof below. He is given that ∠OLN ≅ ∠LNO and he is trying to prove that ΔOLE ≅ ΔONE.

Triangle OLN, where angle OLN is congruent to angle LNO
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. OL ≅ ON -- CPCTC
7. ∠LEO ≅ ∠NEO -- Substitution Property of Equality
8. ΔOLE ≅ ΔONE -- Angle-Side-Angle (ASA) Postulate

Gideon made two errors in the proof. Identify and correct the errors. (10 points)

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Gideon has prepared the following two-column proof below. He is given that ∠OLN ≅ ∠LNO and he is tr...

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