They are either kites or (if the diagonals bisect each other) rhombuses.
Squares
No
All apart from square, rhombus, kite and arrowhead.
rectangle
A square, a rhombus and a kite are three examples of quadrilaterals that have perpendicular diagonals that intersect each other at right angles.
wxyz
The diagonals of a rectangle do not cross at right angles
The diagonals of a square and a rhombus cross at right angles.
Square and Rhombus
Squares
Only a chevron has diagonals intersecting outside the shape. The diagonals of a symmetric chevron will intersect at right angles.
Rhombus and square are the only quadrilaterals whose diagonals bisect the angles of the quadrilateral. In both these quadrilaterals, the diagonals intersect at right angles, dividing each angle into two equal parts.
kite,square and rhombus
rectangle
No.
No
No.