Gideon has prepared the following two-column proof below. He is given that ∠OLN ≅ ∠LNO and he is trying to prove that ΔOLE ≅ ΔONE.
Gideon made two errors in the proof. Identify and correct the errors.
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OpenStudy (anonymous):
OpenStudy (anonymous):
1
∠OLN ≅ ∠LNO
Given
OpenStudy (anonymous):
2
Draw OE as a perpendicular bisector to LN
by Construction
OpenStudy (anonymous):
3
m∠LEO = 90°
Definition of a Perpendicular Bisector
OpenStudy (anonymous):
4
m∠NEO = 90°
Definition of a Perpendicular Bisector
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OpenStudy (anonymous):
5
LE ≅ EN
Definition of a Perpendicular Bisector
OpenStudy (anonymous):
6
OL ≅ ON
CPCTC
OpenStudy (anonymous):
7
∠LEO ≅ ∠NEO
Substitution Property of Equality
OpenStudy (anonymous):
8
ΔOLE ≅ ΔONE
Angle-Side-Angle (ASA) Postulate
OpenStudy (anonymous):
the first one is statment and the second is reasoning
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OpenStudy (anonymous):
@ganeshie8
OpenStudy (anonymous):
@taramgrant0543664
OpenStudy (anonymous):
@dan815
OpenStudy (anonymous):
@Preetha
OpenStudy (anonymous):
@Compassionate
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OpenStudy (anonymous):
@Luigi0210
OpenStudy (taramgrant0543664):
What would you go to fix the first and second one?
OpenStudy (anonymous):
?????
OpenStudy (taramgrant0543664):
When you said first one is statement and second is reasoning is that just the layout of everything or what you are finding
OpenStudy (anonymous):
the layout
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