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Section 6.1

Section 6.1. Exploring Polygons. 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 :. Polygons cont.

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Section 6.1

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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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