Objectives In this chapter you will:  Find measures of interior and exterior angles of polygons  Solve problems involving angle measures of polygons.

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Presentation transcript:

Objectives In this chapter you will:  Find measures of interior and exterior angles of polygons  Solve problems involving angle measures of polygons  Identify and name polygons

Prerequisite Skills Needed 1. You’ll need to know how to solve equations 2. How to Identify a Polygon 4. The Definitions of a Concave and Convex Polygon 5. The Different Types of Polygons 6. How To Name And Classify Each Polygon

A polygon is a closed figure formed by a finite number of coplanar segments such that… 1.The sides that have a common endpoint are noncollinear,and 2.Each side intersects exactly two other sides, but only at their endpoints A regular polygon is a convex polygon with all sides congruent and all angles congruent

A convex polygon is a polygon such that no line containing a side of the polygon contains a point in the interior of the polygon. A polygon that is not convex is nonconvex or concave.

Interior Angles Interior angles is an angle inside a shape. Interior Angle Sum Theorem: If a convex polygon has n sides and S is the sum of the measures of its interior angles, then S= 180(n-2)

Exterior Angles The Exterior Angle is the angle between any side of a shape, and a line extended from the next side. The Exterior Angles of a Polygon add up to 360°

Different Types of Polygons Numbers of sidesName of polygon 3Triangle 4quadrilateral 5pentagon 6hexagon 7heptagon 8octagon 9nonagon 10decagon 12dodecagon

Sources  Factmonster.com  Jeopardylab.com  Google.com  Wikipedia.com  Mathisfun.com