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As shown in the figure, in the parallelogram ABCD, e and F are on the sides of AD and BC respectively, and AE = cf. the following results are obtained: (1) the △ Abe ≌ △ CDF; (2) the parallelogram bfde is a parallelogram
It is proved that: (1) the ∵ quadrilateral ABCD is a parallelogram, and ≌ △ CDF (SAS); (2) the ∵ quadrilateral ABCD is a parallelogram, ∥ ad ∥ BC, ad = BC, ∵ AE = CF, ∥ ad-ae = bc-cf, that is, de = BF, bfde is a parallelogram
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