Complete the proof
Given: BC is equal to EC and AC is equal to DC
Prove: Triangle BCA = triangle BCD and BA is equal to ED (There are diagrams)

Question

Complete the proof
Given: BC is equal to EC and AC is equal to DC
Prove: Triangle BCA = triangle BCD and  BA is equal to ED (There are diagrams)

anonymous · Answer

attachment

directrix · Answer

What do we know about angles 1 and 2? See attached diagram below.

anonymous · Answer

Are they congruent?

directrix · Answer

Yes.
Looking at the diagram attached below, why are the triangles congruent?
I'm talking SAS, AAS, SSS, ASA, that kind of congruent postulate or theorem.

anonymous · Answer

SAS

directrix · Answer

Yes, SAS Postulate.
Notice how marking up the diagram makes it easier to see why they are congruent.

Have you studied CPCTC or something about corresponding parts of congruent triangles?

anonymous · Answer

No, not yet but I have heard the term

directrix · Answer

Well, in Geometry, listen to everything. :)
Reason 3 is SAS Postulate as you said.
Reason 4 is that Corresponding parts of congruent triangles are congruent.
Some people write CPCTC
You can write Corresponding sides of congruent triangles are congruent.

anonymous · Answer

@Directrix Thank you so much!

directrix · Answer

Glad to help. Learn those Geometry theorems. :)