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

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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.

Mathematics
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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.

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oh im not sure but @paki might be able to help when he gets on
@paki please help
anyone
@pooja195 please help
people probably still sleep or sum
pooja just got online
anyone?
@pooja please help
i am so confused
do you get it
I suck at geometry ;-;
@pooja195 do yo know anyone who can help me
?
well we know that these are angles and lines and there asking which is a right statement
they are asking for errors
|dw:1438177982190:dw|
i am still confused
this one is right so this one is not it
so how do i find the error
idk im still trying to figure this out im sorry
?
you have to check step by step
k can you help me
yeah do u know what CPCT is?
no
CPCTC is an acronym for corresponding parts of congruent triangles are congruent. CPCTC is commonly used at or near the end of a proof which asks the student to show that two angles or two sides are congruent.
its a property (Corresponding Pairs Of Congruent Triangles)
yeah...
so what should i do
so you must have noticed in step 6 it is mentioned:: OL ≅ ON CPCTC
no ol is not on cptc
so
so should i write OL ≅ ON in not cpctc
how can that be true before it is proved that the triangles are congruent which has been proved in step8
no its the property of isosceles triangle ie ∠OLN ≅ ∠LNO Given
so what should i write ?
i am really bad at geometry
?
you should write OL ≅ ON (opposite sides of an isosceles triangle)
whats the second error ?
im trying to identify it. :P
k
did you find the second error
im trying bro
k
this is so hard
its not so hard and i dont think there is another error at all. every step seems perfect
did you find it?
nahh im sorry!!
darn
i am so stuck lol i have been trying to figure this out for 1 hour
?
@satellite73 can you please help him?
is there a picture for this proof?
no picture
just the two column proof
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
?
do you have an idea of what the incorrect ones are?
step 6 is incorrect
but i can't find the second one
?
hang on a second
k
|dw:1438180391633:dw|
here are your triangles
k
now why is step 6 incorrect?
because OL ≅ ON is opposite sides of an isosceles triangle.
?
but they are still congruent
ohh ok
i am really confused now
what does CPCTE mean?
corresponding parts congruent triangles
yes. but the statement dosent say that they are equal, it says their congruent. you were right about 6 being wrong. but i wanted for you to know why
k
for the statement to be true it should either be OL ≅ ON Reflexive property or OL = ON CPCTE
k
so whats the second one and why?
i am not sure
can you help me find the second one
yeah. look at all of the signs and wording
is the second error 5 LE ≅ EN Definition of a Perpendicular Bisector
nope
look at number 8. do you see anything wrong?
it does not look like an asa triangle
what congruence postulate would fit here?
how about SSS?
k
so how should i write my answer?
no i was asking if SSS looked right
does it?
yes
?
?
8 OLE ≅ ΔONE SIde-Side-Side (SSS) Postulate
k so should i write statement 6 and 8 are wrong.
or do i have to explain?
correct the error
can you help me write out the answer?

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