It is known that, as shown in the figure, e and F are two points on the diagonal AC of the parallelogram ABCD, AE = CF

It is known that, as shown in the figure, e and F are two points on the diagonal AC of the parallelogram ABCD, AE = CF

It is proved that: (1) AF = CE and ABCD are parallelograms, AF = CB, ad ‖ BC. In △ ADF and △ CBE, AF = cead = CB, DAF = BCE, AF = CEA, ADF = CB, DAF = BCE, and ≌ ADF ≌ CBE (SAS). (2) AF = ADF ≌ CBE, DFA = bec. DF ≌ EB