In the following diagram, AP and BQ are equal and parallel to each other.
Prove that :
(i) Δ AOP ≅Δ BOQ.
(ii) AB and PQ bisect each other.
$ AB$ and $ BD$ are chords of a circle which bisect each other.
Prove that
(i) $ AC and BD$ are diameters; (ii) $ ABCD$ is a rectangle.