If a quadrilateral is both a rectangle and a rhombus, then is it a square?

A rectangle is a plane figure bounded by four sides with all angels right. A rhombus is a plane figure bounded by four sides with all sides equal. A square is a plane figure bounded by four sides with all angels right and all sides equal.

If a quadrilateral is both rectangle and a rhombus then the quadrilateral will have all angels right and all sides equal. which is definition of a square. Therefore, if a quadrilateral is a rectangle and also a rhombus then it is a square.