A quadrilateral is a plane figure bounded with four sides and consisting of four angles.
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A quadrilateral is a polygon with four sides and angles.
Every parallelogram must, by definition, be a quadrilateral.
A schematic diagram would be an infinitely long straight line. Unfortunately, you cannot draw an infinitely long line - the universe is just not big enough!
Absolutely not. It's a quadrilateral by definition, and a quadrilateral by definition has four sides.