Yes, I believe that is correct except that "regular quadrilateral " has no precise meaning in geometry.. -Also, in my opinion, if the top leans either way in such a fashion that both sides remain parallel and the same length, then it is a "rhombus" rather than a square.
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if a figure is a square, then it is a regular quadrilateral
It is a square
A square is a regular 4 sided quadrilateral
Yes it is a regular 4 sided quadrilateral if it has 4 equal sides and 4 equal interior angles of 90 degrees
It is a regular quadrilateral in the form of a square