As shown in the figure, in the quadrilateral ABCD, ab = CD, BF = De, AE ⊥ BD, CF ⊥ BD, e and f respectively. (1) prove: △ Abe ≌ △ CDF; (2) if AC and BD intersect at point O, prove: Ao = Co

It is proved that: (1) be = DF, ∵ AE ⊥ BD, CF ⊥ BD, ∵ AEB = ∠ CFD = 90 degree, ∵ AB = CD, ∵ RT △ Abe ≌ RT △ CDF (HL); (2) connect AC, intersect BD at O, ? Abe ≌ CDF, ? Abe = ∠ CDF, ≌ ab ∥ CD, ? AB = CD, ≌ quadrilateral ABCD is parallelogram, ≌ Ao = Co

As shown in the figure, in the quadrilateral ABCD, ab = CD, BF = De, AE ⊥ BD, CF ⊥ BD, e and f respectively. (1) prove: △ Abe ≌ △ CDF; (2) if AC and BD intersect at point O, prove: Ao = Co

As shown in the figure, in the quadrilateral ABCD, ab = CD, BF = De, AE ⊥ BD, CF ⊥ BD, e and f respectively. (1) prove: △ Abe ≌ △ CDF; (2) if AC and BD intersect at point O, prove: Ao = Co

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