As shown in the figure, in the parallelogram ABCD, the bisector of ∠ ABC intersects CD at point E, and the bisector of ∠ ADC intersects AB at point F. try to judge whether AF and CE are equal, and explain the reason
AF = CE. The reasons are as follows: ∵ quadrilateral ABCD is a parallelogram, ∵ ad = CB, ∵ a = C, ∵ ADC = ABC, and ∵ ADF = 12 ≌ ADC, ∵ CBE = 12 ≌ ABC, ∵ ADF = CBE. In △ ADF and △ CBE,