A circle perhaps?
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A polygon, by definition, is a CLOSED plane shape, bounded by straight sides. Every polygon must begin and end at the same point.
That's called a closed figure.That's called a closed figure.That's called a closed figure.That's called a closed figure.
Similar means that the figures are the same shape yet not the same size. If the figures are the exact same size and shape, then they are congruent.
Two shapes that are the same size and same shape are said to be congruent. They can still vary in mass.
Figures that have the same shape but not size are similar. Figures that have the same size are congruent.