ABCD is a trapezium in which AB||DC,BDis a diagonal and E is the mid point of AD. A line is drawn through E parallel to AB intersecting BC and F. Show that F is the midpoint of BC.
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∵e is mid point of AD and line EG (G intersects BD) is parallel to AB
∴by converse of mid point theorem,
G IS MID POINT OF BD
∵G IS MID POINT AND GF IS PARALLEL TO AB
∴ by converse of mid point theorem,
F IS MID POINT OF BC
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