A polygon is a closed plane figure consisting of straight lines.
So a square is a polygon, a pentagon is a polygon.
Just draw any closed figure with straight lines and you have a polygon.
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A pentagon is a 5 sided polygon.
It takes an infinite number of sides to make a polygon into a circle, but you could still consider a circle to be a limiting state of the polygon, which all polygons approach as the number of sides increase.
it should make a square leaned over
4 triangles make 1 hexagon. (easy way to find out how many triangles there are in a polygon- take number of sides of the polygon, subtract 2 from it, that's your answer!)
it seems to me that the only polygon of your description is a square