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A line segment would have rotational symmetry.
All regular polygons do.
As the name suggests, they are polygons that have one or more lines of symmetry or rotational symmetry of order two or more. A symmetric polygon is not the same as a regular polygon.
If it's a regular 8 sided octagon then it rotational symmetry to the order of 8
If it is a regular 5 sided pentagon then its order of rotational symmetry is 5