4.(03.02 MC) Nina has prepared the following two-column proof below. She is given that ZOLN & CLNO and she is trying to prove that OL 2 ON.
Step Statement
Reason
1 ZOLN ELLNO
Given
2 Draw OE as a perpendicular bisector to LNby Construction
3 LLEO NEO
Transitive Property of Equality
mZLEO = 90°
Definition of a Perpendicular Bisector
5 m2NEO = 90°
Definition of a Perpendicular Bisector
6 LE EN
Definition of a Perpendicular Bisector
7 ΔOLER ΔΟΝΕ
Side-Angle-Side (SAS) Postulate
8 OL ON
CPCTC
4
Nina made two errors in the proof. Identify and correct the errors. (10 points)