The answer depends on what attributes you want to use for classification. These could be:
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All polygons have 3 or more sides
describe the character;information of polygons
There are regular polygons (with 3, 4 and 6 sides).There are irregular convex polygons (with 3, 4, 5 or 6 sides). There are [irregular] concave polygons with various numbers of sides.
They are plane (2 dimensional or flat) figures. They are closed shapes. They are bounded by four straight sides. Then there are others that follow from the general attributes of polygons.
All quadrilaterals are 4 sided polygons having 4 interior angles that add up to 360 degrees