Question

ABCD is a parallelogram and E is the midpoint of AD. DL is parallel to BE meets AB produced at F . prove that B is the midpoint of AF and EB =LF

Answer 1

in Δ ADF where E is the midpoint of AD and DL is parallel to BE . then B must have to be the midpoint of AB according to mid point theorem which says ' the line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side ' .

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