rhombus/square.
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It makes sense because it is true. There are other quadrilaterals whose diagonals are perpendicular.
Take your choice of either a rhombus or a kite both of which fits the given description
No, absolutely not. Not only are they intersecting, they are perpendicular. Perpendicular means that they are at right angles to each other (90 degrees). In fact, any rhombus has perpendicular diagonals. A rhombus is any quadrilateral whose 4 sides are equal.
It is a rhombus whose diagonals are perpendicular and meeting each other at right angles.
How about a rhombus or a kite