Question

Help please
What is the difference between an equiangular polygon an equilateral polygon and a regular polygon?

Answer 1

Equiangular Polygon: An equiangular polygon is a polygon that has all angles equal to one another. For example, a rectangle is an equiangular polygon since all of its angles are equal to 90 degrees. Note: an equiangular polygon does NOT make the polygon an equilateral polygon.


Equilateral Polygon: An equilateral polygon is a polygon that has all equal sides. By definition, a square is an equilateral polygon since all of its sides are equal to one another. Note: if a polygon is an equilateral polygon, it does NOT also mean that it is an equiangular polygon.


Regular Polygon: If a polygon is both equiangular AND equilateral, then it is then refered to as a regular polygon. A regular polygon then has all angles that are equal to one another and all side lengths that are equal to one another. An equilateral triangle is in fact a regular polygon since all three of its angles are equal to one another (which means that it is both equiangular and equilateral).