A square, a rhombus and a kite have diagonals that intersect each other at right angles.
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quadrilateral
If you are talking about the diagonals of a quadrilateral, the only quadrilateral that have diagonals that are perpendicular and bisect each other is a square, because a rectangle has bisecting diagonals, while a rhombus has perpendicular diagonals. And a square fits in both of these categories.
Rhombus
If the diagonals of a quadrilateral are perpendicular to each other, then the quadrilateral is a square.Or a kite.