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Published byOswin Andrews Modified over 6 years ago

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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

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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

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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

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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.

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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)

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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°

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

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

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