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IRINA_888 [86]
3 years ago
12

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

E.
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 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.

Mathematics
1 answer:
allsm [11]3 years ago
4 0
Hello,
Please, see the attached file.
Thanks.

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