What is a polygon ? Definition and examples.

A polygon is a closed plane figure with at least three sides that are segments.

Furthermore, the sides must intersect at their endpoints and no adjacent sides are collinear.

Polygon

The following plane figure is not a polygon since the plane figure is not closed.

This plane figure is not a polygon since it is open

The following plane figure is not a polygon either since two sides intersect between endpoints. Basically, segments cannot intersect at points other than their endpoints. A segment cannot intersect more than two other segments either.

This figure is not a polygon because two sides intersect between endpoints.

More examples of polygons

Just to mention a few, the rectangle, the triangle, the square, the parallelogram, the trapezoid, and the rhombus are all examples

of shapes that can be classified as polygons.

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