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\( \mathrm { ABCD } \) is a parallelogram. The sides \( \mathrm { AB } \) and AD are produced to \( E \) and \( F \) respectively such that \( A B = B E \) and \( A D = D F \) Prove that \( : \Delta \mathrm { BEC } \cong \Delta \mathrm { DCF } \)

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