As shown in the figure, e and F are two points on the diagonal AC and BD of rectangle ABCD, and AE = DF. Prove the congruent triangle COF of triangle BOE

It is proved that [O is the intersection of diagonals. If I don't know the graph, let e be on AO]
ABCD is a rectangle
That is, Ao = Bo = co = do
∵AE=AF,OE=AO-AE,OF=OD-DF
∴OE=OF
And ∵ ∠ EOB = ∠ FOC, OB = OC
∴⊿BOE≌⊿COF

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