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**How are polygons classified?**

6-1B Exploring Polygons How are polygons classified?

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**You measured one-dimensional figures.**

Identify and name polygons.

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Definitions A polygon is a closed figure formed by a finite number of coplanar segments called sides such that The sides that have a common endpoint are noncollinear, and Each side intersects exactly two other sides, but only at their endpoints.

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Definition A vertex of a polygon is the vertex of each angle in the polygon. A polygon is named by the letters of its vertices, written in order of consecutive vertices.

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Definition A convex polygon is one in which each diagonal (except its endpoints) is in the interior (inside) of the polygon.

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Convex Polygons

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Definition A concave polygon is one in which at least one diagonal (except its endpoints) is not in the interior of the polygon. Opps…

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Concave Polygons

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Not Polygons

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Definition An Equilateral polygon is a polygon in which all sides are congruent.

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Definition An Equiangular Polygon is a polygon in which all angles are congruent.

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Definition A regular polygon is a polygon that is both equilateral and equiangular. An irregular polygon is a polygon that is not regular

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**Classification of Polygons**

sides Triangle sides Quadrilateral sides Pentagon sides Hexagon sides Heptagon sides Octagon sides Nonagon sides Decagon sides Dodecagon 20 sides Icosagon “n” sides n-gon See page 57 for chart

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**Name and Classify Polygons**

A. Name the polygon by its number of sides. Then classify it as convex or concave and regular or irregular. There are 4 sides, so this is a quadrilateral. No line containing any of the sides will pass through the interior of the quadrilateral, so it is convex. The sides are not congruent, so it is irregular. Answer: quadrilateral, convex, irregular

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**Name and Classify Polygons**

B. Name the polygon by its number of sides. Then classify it as convex or concave and regular or irregular. There are 9 sides, so this is a nonagon. Lines containing some of the sides will pass through the interior of the nonagon, so it is concave. Since the polygon is concave, it must be irregular. Answer: nonagon, concave, irregular

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Assignment 1-6 Page 61, 1-5, 11-16 You should have three answers for 1-2, Name by the number of sides Convex or concave Regular or irregular

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