∠DCE = ∠DEC Given DC=DE The converse of the Isosceles Triangle Theorem ∠ACB=∠DGE, ∠GEF=∠DEC Vertical angles are congruent ∠ACB∠GEF Transitive Property of Equation DF=DB Given DF-DC=DB-DE (not sure what reason to put here) BC=FE Substition ∠B=∠F Given ΔABC=ΔGFE ASA Triangle Congruent Theorem