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any rhombus
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.
Any type of rhombus has perpendicular diagonals. Please note that squares are a type of rhombus.
A rectangle has 4 perpendicular sides that meet each other at right angles.
Not normally but as a rectangle it has perpendicular sides that meet at right angles