Question

Sterling has prepared the following two-column proof below. He is given that ∠OLN ≅ ∠LNO and he is trying to prove that OL ≅ ON.
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 ΔOLE ≅ ΔONE Hypotenuse-Leg (HL) Postulate
7 ∠LEO ≅ ∠NEO Transitive Property of Equality
8 OL ≅ ON CPCTC
Sterling made two errors in the proof. Identify and correct the errors.

Answer 1

I don't get it... what is the question?

Answer 2

They want you to see what is wrong in the proof above

Answer 3

Oh, ok.

Answer 4

Where did the E come from?

Answer 5

Its The bisector that divides the triangle

Answer 6

@triciaal

Answer 7

sorry not right now

Answer 8

:(

Answer 9

@pooja195

Answer 10

There are 2 errors in the proof @pooja195

Answer 11

@undeadknight26

Answer 12

@OregonDuck I need help there is two errors and I need to know the correct terms for them

Answer 13

@OregonDuck

Answer 14

line 3 needs to be moved to under line 6, and line's 7 reason needs to be Angle Side Angle postulate.

The correct proof is found in lesson 3.02 page 6 in FLVS Geometry.

Answer 15

got it?

Answer 16

the correct proof for what is on page 6? @OregonDuck

Answer 17

the correct proof for this:
Sterling has prepared the following two-column proof below. He is given that ∠OLN ≅ ∠LNO and he is trying to prove that OL ≅ ON.
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 ΔOLE ≅ ΔONE Hypotenuse-Leg (HL) Postulate
7 ∠LEO ≅ ∠NEO Transitive Property of Equality
8 OL ≅ ON CPCTC
Sterling made two errors in the proof. Identify and correct the errors.

Answer 18

didn't you only copy it @OregonDuck

Answer 19

no