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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

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.

Gideon has prepared the following twocolumn proof below He is given that OLN LNO and he is trying to prove that ΔOLE ΔONE Triangle OLN where angle OLN is congru class=

Respuesta :

Hello,
Please, see the attached file.
Thanks.
Ver imagen Professor1994
TheLegendaryJet

Answer:

Identify: Step 6 has issues

Correction:

For step 6: The explanation is wrong and CPCTC cant be used here

I also think step 6 is just not necessary in the proof. Now i'm not 100% sure but I didn't find anything else wrong.

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