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M and N are points on opposite sides AD ...

M and N are points on opposite sides AD and BC of a parallelogram ABCD such that MN passes through the point of intersection O of its diagoinals AC and BD. Show that MN is bisected at O.

Text Solution

Verified by Experts

`triangle AOM ~=triangle CON`
` [because angle MAO = angle NCO, AO= CO, angle MOA = angle NOC]`
[Note Diagonals of a ||gm bisect each other].
`therefore MO=NO " (c.p.c.t.)." `
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