Square & Rectangle are the only two. Rhombus (diamond) & parallelogram have adjacent sides, but no 90 degree angles (not perpendicular).
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Adjacent sides are perpendicular. Opposite sides are parallel.
A square, a rhombus and a kite are all 4 sided quadrilaterals that have perpendicular diagonals.
All quadrilaterals apart from rectangles. Even parallelograms have adjacent angles that are not equal.
All quadrilaterals have 4 sides
If a quadrilaterl has a perpendicular diagonas it is a roumbus, also kite has perperndicular diagonals