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Planes are not necessarily drawn as parallelograms. The Cartesian plane is drawn as a rectangle and, contrary to what the previous answerer [ignorantly] claimed, it does have a ninety degree angle where the axes meet.

The representation of a plane in 3-d space is often depicted as a parallelogram in much the same way that the drawing of a cube has parallelograms for its lateral faces. A parallelogram is a compromise between lines of perspective (which should meet at the centre of perspective) and the wish to maintain the parallel nature of these edges.

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Q: Why is a plane drawn as a parallelogram?
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