Question

In the given figure, equal chords AB and CD of a circle with centre
0, cut at right angles at P. If L and M are mid-points of AB and CD
respectively, prove that OLPM is a square.
[Hint. OL I AB (Why?), OM I CD (Why?)
AB =
CD = OL = OM. Join OP,
AOLP = AOMP = LP = PM and OL = OM.
Also each angle of OLPM is 90°.]​

Answer 1

Answer:

You have yourself given half of the answer.All of the properties mentioned in the hint that are namely all angles measure 90° and all sides are equal.These properties prove that OLPM is a square.