diagonals of a quadrilateral are perpendicular to each other is such a quadrilateral always a rhombus
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Yes this sentence is right.
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Yes always because all sides of a rhombus are equal. If all sides of a quadrilateral are congruent, then it's a rhombus (reverse of the definition). ... If the diagonals of a quadrilateral are perpendicular bisectors of each other, then it's a rhombus (converse of a property).
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