Yes. A digon can have 2 sides, but only in a spherical geometry. In normal Euclidean geometry both the monogon and the digon have just 1 side.
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there is no such thing as two-sided polygon.
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There's no such thing as a two-sided polygon. In order for a shape to be a polygon, it has to have at least three sides.
Yes, it is called a nonagon.
There is no such thing as a hecigon. If you mean a hexagon, then yes. A hexagon is a 6-sided polygon.