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In below fig. ABCD is a parallelogram and E is the mid-point of side BC. If DE and AB when produced meet at F, prove that AF = 2AB.

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In below fig. ABCD is a parallelogram and E is the mid-point of side BC. If DE and AB when produced meet at F, prove that AF = 2AB.

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In ΔBEF and ΔCED 

∠BEF =  ∠CED 

[Verified opposite angle] 

BE = CE 

[ E is the mid-point of BC]

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