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Polygons

Identify and classify polygons

A polygon is a closed geometric figure with at least three lines segments for it sides.

 polygon polygon non-polygon non-polygon

• The sides are the straight line segments that make up the polygon.
• The vertex is a corner of the polygon. In any polygon, the number of sides and vertices are always equal.
• The center is the point inside a regular polygon that is equidistant from each vertex.
• The apothem of a regular polygon is the line from the center to the midpoint of a side.
• The radius is the distance from the center to any vertex.
• By definition, all sides are the same length, so the perimeter is simply the length of a side times the number of sides.

Polygons are classified according to the number of sides that they have.

A regular polygon has all sides and angles equal.

Polygons in general...

• An equilateral polygon is a polygon with all sides congruent.
• An equiangular polygon is a polygon with all angles congruent.
• A regular polygon is a polygon that is both equilateral and equiangular.
 Equilateral Polygon Equiangular Polygon Regular Polygon