The math definition of a polygon is a closed shape, that is in a math text, and if you really wanted to know the mathematical definition of a polygon you could simply go home, or find a text book that you would steal from your cousins, and then you would got the glossary, and then bing bam boom you know the mathematical definition of a polygon.
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A polygon, by definition, is a closed figure. So a closed polygon is an undefined object.
Polygon This is a loose definition of a polygon.
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No. A three-sided polygon is, by definition, a triangle.
Yes, the definition of a polygon is any closed figure with straight sides.