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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.
oh im not sure but @paki might be able to help when he gets on
@paki please help
@pooja195 please help
people probably still sleep or sum
pooja just got online
@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
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?
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)
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 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
did you find the second error
im trying bro
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!!
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?
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
here are your triangles
now why is step 6 incorrect?
because OL ≅ ON is opposite sides of an isosceles triangle.
but they are still congruent
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
for the statement to be true it should either be OL ≅ ON Reflexive property or OL = ON CPCTE
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
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?
so how should i write my answer?
no i was asking if SSS looked right
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?