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Maybe. Maybe not. Lots of polygons will have no parallel or perpendicular sides, but some will have some. As we mentioned before, right triangles have perpendicular sides, rectangles have both perpendicular and parallel sides, but other quadrilaterals might not. A regular pentagon has no parallel or perpendicular sides, but a non-regular pentagon might have parallel and perpendicular sides.
The trapezoid has one pair of parallel sides. The parallelogram, rectangle, and square all have two pairs of parallel sides. Other less common shapes with parallel sides include any of the '-gons' with an even number of sides, such as a hexagon, octagon, decagon, etc.