write a two column proof

Question

GIVEN : triangle ABF is congruent to triangle EDF ;CF is angle bisector of < DFB

PROVE:  triangle BCF is congruent to triangle DCF

Answer 1

In Δs BCF and DCF:

CF is a common side;

∠CFB and ∠BFC are equal measure because CF bisects ∠BFD;

BF=FD (side lengths of congruent triangles ABF and DEF).

Therefore Δs BCF and DCF are congruent (two sides. and the included angle).