Question

These are proofs from geometry.

I need the given, the proven, and the steps in between please and thank you!!
1. Prove ΔABC≅ΔEDC
2. Prove ΔFGH≅ΔIGJ

Answer 1

1. AAS 2. ASA

1. In triangle ABC and triangle EDC

angle ABC = angle EDC (given)

angle BCA = angle DCE (vert. opp. angles)

AC = EC (given)

Therefore triangle ABC and triangle EDC are congruent (AAS)

2. In triangle FGH and triangle IGJ

angle FGH = angle IGJ (vert. opp. angles)

FG=IG (given )

angle HFG = angle JIG (given)

Therefore triangle FGH and triangle IGJ are congruent (ASA)