Not necessarily. The definition of a polygon is a closed figure with straight lines and no curves. A "regular" polygon has to have equal side-lengths, such as a regular hexagon or a regular octagon.
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Straight sides of equal length, all internal angles equal.
A polygon is any closed figure with 3 or more sides. The sides need not all have the same length.
Regular olygons whose sides are all of equal length and angles are all equal.
Yes.