That is because an octagon is singular and polygons is plural. An octagon is a polygon, and octagons are polygons but a octagon cannot be a polygons.
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square and octagon
Triangle, rectangle, pentagon, hexagon, octagon. Though, there are much more names of polygons.
These are all names of polygons.
An 8 sided octagon belongs to the family of polygons
A square, pentagon, decagon, octagon are always regular polygons.