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Polygons

Polygons. Polygon. Closed figure whose sides are all segments. To be a Polygon 2 things must be true Sides have common endpoints and are not collinear Sides intersect exactly two other sides. Naming a Polygon. The sides of each angle in a polygon are the sides of the polygon

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Polygons

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  1. Polygons

  2. Polygon • Closed figure whose sides are all segments. • To be a Polygon 2 things must be true • Sides have common endpoints and are not collinear • Sides intersect exactly two other sides

  3. Naming a Polygon • The sides of each angle in a polygon are the sides of the polygon • The vertex of each angle is a vertex of the polygon • They are named using all the vertices in consecutive order

  4. The number of sides determines the name of the polygon • 3 - Triangle • 4 - Quadrilateral • 5 - Pentagon • 6 - Hexagon • 7 - Heptagon • 8 - Octagon • 9 - Nonagon • 10 - Decagon • 12 - Dodecagon • Anything else …. N - gon (where n represents the number of sides)

  5. Concave VS Convex

  6. Regular Polygon • A regular polygon is a convex polygon whose sides are all congruent and whose angles are all congruent

  7. Perimeter • The perimeter of a polygon is the sum of the lengths of its sides.

  8. Perimeter of the Coordinate Plane • Find the perimeter of the triangle ABC with A(-5,1), B(-1,4), C(-6,-8)

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