Question

[WILL FAN AND MEDAL] Gideon has prepared the following two-column proof below. He is given that ∠OLN ≅ ∠LNO and he is trying to prove that ΔOLE ≅ ΔONE.


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.

Answer 1

What I found so far : Step 6 should be opposite sides of an isosceles triangle.

Answer 2

The next one I think is step 8,but i'm not sure.

Answer 3

Can anyone please help me?I need help :/

Answer 4

@dan815 @abbyanna101

Answer 5

wow i have no idea

Answer 6

Man,could you tag people you know could help?

Answer 7

none of the super-nerds are online rn. have you tried googling it?

Answer 8

Yes,most of them came to this website but they are all open.Thats why i'm in dire need of help :/

Answer 9

@IvyJane

Answer 10

Can you help me Jane? :)

Answer 11

I dont think ive learned this yet

Answer 12

Darn.

@dan815

Answer 13

*uybuyvf

Answer 14

@uybuyvf

Answer 15

Can Anyone Please Help!

Answer 16

@muscrat123

Answer 17

Help?

Answer 18

@BRONCOBURDEN17

Answer 19

dang that's hard i don't think i kno this hmmm let me think somemore

Answer 20

Here is a pic
http://learn.flvs.net/webdav/assessment_images/educator_geometry_v16/03_02b_05_01.gif

Answer 21

step 6 and step 8 i think

Answer 22

What would you keep for Step 8 then?

Answer 23

@muscrat123

Answer 24

hmmmmm

Answer 25

i don't know sorry vik

Answer 26

im not really good with this...sorry

Answer 27

I submites and PMed the mods yet no-one responds,,brilliant service.

Answer 28

I don't know if you still need help on this but I think step 8 reasoning should change to Side-Angle-Side (SAS) Postulate.