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

1 Answer
SagarStudy
Dec 29, 2015

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.

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