In Figure, `X ,\ Y` are the mid-points of opposite sides `A B\ a n d\ D C` of a parallelogram `A B C DdotA Y\ a n d\ D X` are joined intersecting in `P ; C X\ a n d\ B Y` are joined intersecting in `Q` . Show that `A X C Y` is a parallelogram (ii) `D X B Y\ ` is a parallelogram quadrilateral `P X Q Y` is a parallelogram