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Exploring and Classifying Polygons: Properties and Types

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This section delves into the fascinating world of polygons, defining them as plane figures formed by three or more line segments known as sides. It explores the key characteristics of polygons, differentiating between convex and concave types based on their side arrangements. The classification of polygons is based on the number of sides, including triangles, quadrilaterals, pentagons, and more. Additionally, we examine the concepts of equilateral and equiangular polygons, as well as regular versus irregular polygons, highlighting their unique properties and classifications.

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Exploring and Classifying Polygons: Properties and Types

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  1. Section 6.1 Exploring Polygons

  2. Identifying Polygons • Polygon • Is a plane figure that is formed by three or more segments called sides such that: • Each side intersects exactly two other sides at endpoint • No two sides with a common endpoint are collinear • Exs: Nonexs:

  3. Polygons cont. • Convex • A polygon is convex is no line that contains a side of the polygon contains a point in the interior of the polygon. • Nonconvex or concave • A polygon that is not convex

  4. Classifying Polygons • # of sides name • 3 triangle • 4 quadrilateral • 5 pentagon • 6 hexagon • 7 heptagon • 8 octagon • 9 nonagon • 10 decagon • 12 dodecagon • N n-gon

  5. Polygons cont. • Naming polygons • By vertices • Diagonal- of a polygon is a segment that joins 2 nonconsecutive vertices. Name this as : ABEDC or DEBAC Two diagonals are: AC and AD

  6. Polygons • Equilateral-a polygon is equilateral if all sides are congruent • Equiangular-if all interior angles are congruent • Regular-if it is equilateral and equiangular • Re • regular Not regular

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