P is the point out of the plane of the parallelogram ABCD, and Q is the midpoint of PA

P is the point out of the plane of the parallelogram ABCD, and Q is the midpoint of PA

If AC and BD intersect at O, then OA = OC and ob = OD
In △ PAC, OQ is the median line
∴OQ∥PC
∵ OQ in plane BQD
‖ PC ‖ planar BQD