# ABCD is a parallelogram, AD is produced to E so that DE = DC and EC produced meets AB produced in F. Prove that BF = BC

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ABCD is a parallelogram, AD is produced to E so that DE = DC and EC produced meets AB produced in F. Prove that BF = BC

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Draw a parallelogram ABCD with AC and BD intersecting at O Produce AD to E such that DE = DC

Join EC and produce it to meet AB produced at F.

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