a rectangle
i think you call it a irregular quadrilateral
Well, you are supposed to call an irregular quadrilateral an IRREGULAR QUADRILATERAL. Haha. There really isn't any name for a regular quadrilateral. You just call it a quadrilateral or whatever the shape is. You could call it a REGULAR QUADRILATERAL.
a Trapezoid
Quadrilaterals usually have special names only if they DO have parallel sides, or some other special property. You might just call it "quadrilateral", or "a quadrilateral with no parallel sides".
You call it a parallelogram.
Parallelogram
All of them have parallel sides except for the trapezoid.
A Trapezium is a quadrilateral with no parallel sides.
Kite
A trapezium (US trapezoid).
to me a quadrilateral always has parallel sides
Trapezoid is the quadrilateral which have no parallel sides.