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Elements of a Parallelogram

In the adjace...

Question

In the adjacent figure, ABCD is a parallelogram and line segments AE and CF bisect the angles and C respectively .Show that AE llCF.

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Solution

show that AE parallel to CF
in llgm AFCD
AF parallel to EC ( part of llgm ABCD )
and AF = EC ( mid point )
if one pair of opposite sides are equal and parallel then it is a llgm
if AFCE is llgm then AE is parallel to FC

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