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Equiangular Polygons Essay

Polygons are plane figures that have N number of sides. A polygon encloses an empty space. The least number of lines that can be used to form a polygon is three while the largest number of lines is infinite (Wassenaar 2001). The type of polygon varies depending on the number of sides, measurement of angles and length of sides. Types of Polygons a) Equiangular Polygons – Polygons whose vertex angles have equal measurements are called equiangular polygons (Wassenaar 2001).

A common example of this is a rectangle having 90 degrees as the measure of its four vertex angles. b) Equilateral Polygons – Equilateral polygons are polygons whose sides are all equal (Wassenaar 2001). A common example of this is a rhombus that has four equal sides. Equilateral polygons are different from equiangular polygons because equilateral polygons deal with the equality of sides while equiangular polygons deal with the equality of vertex angles.

c) Regular Polygons – Polygons that have the characteristics of both equiangular and equilateral angles are called regular polygons. These polygons are called “regular” due to the equality of both sides and vertex angles (Wassenaar 2001). Examples of these polygons are square, regular triangle, regular pentagon, regular hexagon and many more.

References: Wassenaar, J. (2001). Polygons. from http://www. 2dcurves. com/line/linep. html

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