max1409
  • max1409
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
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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max1409
  • max1409
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
max1409
  • max1409
Gideon made two errors in the proof. Identify and correct the errors.
max1409
  • max1409
@MasonP

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More answers

max1409
  • max1409
@pooja195
max1409
  • max1409
@FlamePlaysMC
anonymous
  • anonymous
oh im not sure but @paki might be able to help when he gets on
max1409
  • max1409
@paki please help
max1409
  • max1409
anyone
max1409
  • max1409
@pooja195 please help
anonymous
  • anonymous
people probably still sleep or sum
anonymous
  • anonymous
pooja just got online
max1409
  • max1409
anyone?
max1409
  • max1409
@pooja please help
max1409
  • max1409
@pooja195
max1409
  • max1409
@destinystaggs
max1409
  • max1409
i am so confused
max1409
  • max1409
do you get it
pooja195
  • pooja195
I suck at geometry ;-;
max1409
  • max1409
@pooja195 do yo know anyone who can help me
max1409
  • max1409
?
anonymous
  • anonymous
well we know that these are angles and lines and there asking which is a right statement
max1409
  • max1409
they are asking for errors
anonymous
  • anonymous
|dw:1438177982190:dw|
max1409
  • max1409
i am still confused
anonymous
  • anonymous
this one is right so this one is not it
max1409
  • max1409
so how do i find the error
anonymous
  • anonymous
idk im still trying to figure this out im sorry
max1409
  • max1409
?
random231
  • random231
you have to check step by step
max1409
  • max1409
k can you help me
max1409
  • max1409
@Smita12:
random231
  • random231
yeah do u know what CPCT is?
max1409
  • max1409
no
max1409
  • max1409
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.
random231
  • random231
its a property (Corresponding Pairs Of Congruent Triangles)
random231
  • random231
yeah...
max1409
  • max1409
so what should i do
random231
  • random231
so you must have noticed in step 6 it is mentioned:: OL ≅ ON CPCTC
max1409
  • max1409
no ol is not on cptc
max1409
  • max1409
so
max1409
  • max1409
so should i write OL ≅ ON in not cpctc
random231
  • random231
how can that be true before it is proved that the triangles are congruent which has been proved in step8
random231
  • random231
no its the property of isosceles triangle ie ∠OLN ≅ ∠LNO Given
max1409
  • max1409
so what should i write ?
max1409
  • max1409
i am really bad at geometry
max1409
  • max1409
?
random231
  • random231
you should write OL ≅ ON (opposite sides of an isosceles triangle)
max1409
  • max1409
whats the second error ?
random231
  • random231
im trying to identify it. :P
max1409
  • max1409
k
max1409
  • max1409
did you find the second error
random231
  • random231
im trying bro
max1409
  • max1409
k
max1409
  • max1409
this is so hard
random231
  • random231
its not so hard and i dont think there is another error at all. every step seems perfect
max1409
  • max1409
did you find it?
random231
  • random231
nahh im sorry!!
max1409
  • max1409
darn
max1409
  • max1409
i am so stuck lol i have been trying to figure this out for 1 hour
max1409
  • max1409
@satellite73
max1409
  • max1409
?
random231
  • random231
@satellite73 can you please help him?
max1409
  • max1409
@nogoodatgeometry @alexistheking777
anonymous
  • anonymous
is there a picture for this proof?
max1409
  • max1409
no picture
max1409
  • max1409
just the two column proof
anonymous
  • anonymous
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
max1409
  • max1409
?
anonymous
  • anonymous
do you have an idea of what the incorrect ones are?
max1409
  • max1409
step 6 is incorrect
max1409
  • max1409
but i can't find the second one
max1409
  • max1409
?
anonymous
  • anonymous
hang on a second
max1409
  • max1409
k
anonymous
  • anonymous
|dw:1438180391633:dw|
anonymous
  • anonymous
here are your triangles
max1409
  • max1409
k
anonymous
  • anonymous
now why is step 6 incorrect?
max1409
  • max1409
because OL ≅ ON is opposite sides of an isosceles triangle.
max1409
  • max1409
?
anonymous
  • anonymous
but they are still congruent
max1409
  • max1409
ohh ok
max1409
  • max1409
i am really confused now
anonymous
  • anonymous
what does CPCTE mean?
max1409
  • max1409
corresponding parts congruent triangles
anonymous
  • anonymous
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
max1409
  • max1409
k
anonymous
  • anonymous
for the statement to be true it should either be OL ≅ ON Reflexive property or OL = ON CPCTE
max1409
  • max1409
k
anonymous
  • anonymous
so whats the second one and why?
max1409
  • max1409
i am not sure
max1409
  • max1409
can you help me find the second one
anonymous
  • anonymous
yeah. look at all of the signs and wording
max1409
  • max1409
is the second error 5 LE ≅ EN Definition of a Perpendicular Bisector
anonymous
  • anonymous
nope
anonymous
  • anonymous
look at number 8. do you see anything wrong?
max1409
  • max1409
it does not look like an asa triangle
anonymous
  • anonymous
what congruence postulate would fit here?
anonymous
  • anonymous
how about SSS?
max1409
  • max1409
k
max1409
  • max1409
so how should i write my answer?
anonymous
  • anonymous
no i was asking if SSS looked right
anonymous
  • anonymous
does it?
max1409
  • max1409
yes
max1409
  • max1409
?
max1409
  • max1409
?
anonymous
  • anonymous
8 OLE ≅ ΔONE SIde-Side-Side (SSS) Postulate
max1409
  • max1409
k so should i write statement 6 and 8 are wrong.
max1409
  • max1409
or do i have to explain?
anonymous
  • anonymous
correct the error
max1409
  • max1409
can you help me write out the answer?

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