Q. 95.0( 1 Vote )

# O is any point in Given that AB||CD and O is a point inside AB and CD.

Also, P and Q are two points on AB and CD respectively such that

OPAB and OQCD.

So, OPA=OPB=90°

And OQC=OQD=90°

Draw XY through O such that AB||XY||CD

Since, AB||XY

So, YOQ=BPO=90° (corresponding angles)

And YOP=DQO=90° (corresponding angles)

POQ=YOP+YOQ=90°+90°=180°

So, PQ is s straight line.

P,O and Q are collinear.

Proved.

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