Presentation on theme: "Polygons A Polygon is a closed plane figure formed by 3 or more segments Each segment intersects exactly 2 other segments only at their endpoints. No."— Presentation transcript:
Polygons A Polygon is a closed plane figure formed by 3 or more segments Each segment intersects exactly 2 other segments only at their endpoints. No 2 segments with a common endpoint are collinear
Sides The segments that form a polygon are called its sides. In a polygon, no 2 segments with a common endpoint are collinear
Vertex of a Polygon The vertex of a polygon is the intersection of 2 of its sides.
EQUIANGULAR POLYGON An equiangular polygon is a polygon in which all angles are congruent
Equilateral Polygon An equilateral polygon is a polygon in which all sides are congruent.
REGULAR POLYGON If a polygon is both equiangular and equilateral, then it is called regular.
Irregular Polygon If a polygon is not equiangular and equilateral, then it is an irregular polygon
Polygons named by number of sides 11 sided polygon - hendecagon
Diagonal of a polygon A diagonal of a polygon is a segment that connects 2 nonconsecutive vertices.
Convex polygon In a convex polygon, every diagonal lies inside it
Concave polygon In a concave polygon, at least 1 diagonal can be drawn so that part of it contains points in the exterior of the polygon
Congruent polygons If 2 polygons have the same size and shape, they are congruent
Interior and Exterior angles of polygons At each vertex, there are 2 special angles. An interior angle is an angle fprmed by 2 sides of a polygon with a common vertex An exterior angles is an angle formed by 1 side of a polygon and the extension of an adjacent side E I
Formula for sum of interior angles of a polygon n is the number of sides sum of interior angles = (n-2) 180 o
Formula for interior angles measure of a regular polygon n is the number of sides Each interior angle =
Formula for exterior angle measure of a regular polygon n is the number of sides
Center of a regular polygon Center is the point that is equidistant from each of the polygon's vertices
Central angle of a regular polygon Central angle has its vertex at the center of the polygon and its sides pass through consecutive vertices
Formula for central angle measure of a regular polygon n is the number of sides