It's
Side
Vertex
Angle
Diagonal
Perimeter
Area
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The star is a polygon, but not a simple one. It is not simple because parts of the lines forming its boundaries are inside the star. The outline of a star is a simple polygon.
polygons our stuff I do not know
it seems to me that the only polygon of your description is a square
A type of polygon is a rhombusial polygon, trysectalnict polygon, and a equilateral polygon.
A triangle (not traingle) is a polygon. It can be a regular polygon but need not be.