anonymous
  • anonymous
Please help I'm having a lot of trouble here! A student made the table below to show the steps to prove that DC is equal to EC: Statements Justifications DC = EC CPCTC
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
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Michele_Laino
  • Michele_Laino
the missing statement is: \[\Large m\angle ACE = m\angle ACD + m\angle DCE\] for angle addition postulate
anonymous
  • anonymous
omg okay thanks so much, now i have to explain why we needed this step
anonymous
  • anonymous
cam i say because DBC=Eac?
anonymous
  • anonymous
so without it we wouldn't be able to prove this?
Michele_Laino
  • Michele_Laino
no, since the condition DBC= EAC is necessary nevertheless it is not suffice
anonymous
  • anonymous
Oh, okay
Michele_Laino
  • Michele_Laino
my condition is necessary since we have: |dw:1433462306474:dw| then the two triangles are congruent each other
Michele_Laino
  • Michele_Laino
using ASA postulate
anonymous
  • anonymous
okay, but why would we use the same statement twice? the statement we have now is the same as statement 4
Michele_Laino
  • Michele_Laino
you are right! Then we can use directly this statement: \[\Large m\angle BCD = m\angle ACE\] by the transitive property of congruence relation
anonymous
  • anonymous
Ohhh! Okay, great! And we would need this step to simplify steps 4-6?
Michele_Laino
  • Michele_Laino
yes!
anonymous
  • anonymous
yaay! Thanks so much!
Michele_Laino
  • Michele_Laino
thanks! :)
anonymous
  • anonymous
yw!
Michele_Laino
  • Michele_Laino
:)

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