Question

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

Answer 1

@Hero @Kainui

Answer 2

@Michele_Laino

Answer 3

the missing statement is:
\[\Large m\angle ACE = m\angle ACD + m\angle DCE\]
for angle addition postulate

Answer 4

omg okay thanks so much, now i have to explain why we needed this step

Answer 5

cam i say because DBC=Eac?

Answer 6

so without it we wouldn't be able to prove this?

Answer 7

no, since the condition DBC= EAC is necessary nevertheless it is not suffice

Answer 8

Oh, okay

Answer 9

my condition is necessary since we have:

then the two triangles are congruent each other