A hexagon has six sides. It could also be called a polygon, signifying that it has a number of sides. A hexagon cannot be called a quadrilateral because that name signifies a four-sided figure.
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Quadrilateral
quadrilateral
Quadrilateral
polygon, trapezium, quadrilateral are three other names
A square is also a rectangle, a rhombus, a parallelogram, and a quadrilateral.