Yes, it is, quad is actually a root word that means four
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A square is a regular four-sided polygon.
A four-sided polygon has two diagonals.
A hexagon is a six-sided polygon. A four-sided polygon is a quadrilateral, quadrangle, or tetragon.
The area of a four-sided polygon is base times height.
A quadrilateral is any four-sided polygon. For that reason, by definition the properties of quadrilaterals are valid for any four-sided polygon.