MAT 1500 - Polygons, Perimeter, Area and Pythagorean Theorem. Study Guide.

Polygons A polygon is a figure consisting of line segments lying in a plane that can be traced so that the starting point and ending points are the same and the path never crosses itself. The line segments of a polygon are called its sides and the endpoints of the sides (where the every two sides meet) are called vertices (singular form: vertex). A polygonal region is made up of the union of the sides of a polygon and the region enclosed by the polygon. A polygon whose sides are all the same length and whose interior angles all measure the same is called a regular polygon. Different polygons have different names depending on the number of sides the polygon has. A triangle is the simplest type of polygon. There are different types of triangles, and they can be categorized based on the length of their sides or by the angles in the triangle.