It is a square
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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 square
I guess. It depends on if you draw it regular or irregular.
Regular Tetrahedron
A trapezium is not a regular shape although it is a 4 sided quadrilateral.