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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
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 sides
Name of
polygon
3
Triangle
4
quadrilateral
5
pentagon
6
hexagon
7
heptagon
8
octagon
9
nonagon
10
decagon
12
dodecagon
Sources
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Factmonster.com
Jeopardylab.com
Google.com
Wikipedia.com
Mathisfun.com