As shown in the figure, in △ ABC, ab = AC, D, e and F are on three sides respectively, and be = CD, BD = CF, G is the midpoint of EF

As shown in the figure, in △ ABC, ab = AC, D, e and F are on three sides respectively, and be = CD, BD = CF, G is the midpoint of EF

Prove: as shown in the figure, connect ed, FD, ∵ AB = AC, ∵ B = ∵ C, be = CD, BD = CF, ≌ bed ≌ CDF, ≌ ed = FD, G is the midpoint of EF, ∵ DG bisects EF vertically