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A 4 sided quadrilateral is only a regular polygon when it is in the shape of a square
No because only a square can be a regular 4 sided quadrilateral.
It is a square
A square is a regular 4 sided quadrilateral
Square and a rhombus * * * * * A rhombus is not a regular quadrilateral (unless it is a square) because being regular requires all sides AND all angles to be equal. So there is only one type of a regular quadrilateral - a square. It may have other names, certainly so in other languages.