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6.1 Polygons

6.1 Polygons. Convex verse Concave. Definition of a Polygon. A polygon is a figure on a plane with three or more sides that meet at a vertex. Name of this Polygon. ABCD, CDAB, or DABC You want to list the vertices in some order. Polygons are named by their sides. 3 sides – Triangle

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6.1 Polygons

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  1. 6.1 Polygons Convex verse Concave

  2. Definition of a Polygon A polygon is a figure on a plane with three or more sides that meet at a vertex.

  3. Name of this Polygon ABCD, CDAB, or DABC You want to list the vertices in some order.

  4. Polygons are named by their sides 3 sides – Triangle 4 sides – Quadrilateral 5 sides – Pentagon 6 sides – Hexagon 7 sides – Heptagon 8 sides – Octagon 9 sides – Nonagon 10 sides – Decagon 11 sides - Hendecagon 12 sides – Dodecagon 13 sides - Tridecagon or Triskaidecagon 14 sides - Tetradecagon or Tetrakaidecagon 14 N sides – n-gon

  5. Polygons are named by their sides 3 sides – Triangle 4 sides – Quadrilateral 5 sides – Pentagon 6 sides – Hexagon 7 sides – Heptagon 8 sides – Octagon 9 sides – Nonagon 10 sides – Decagon 11 sides - Hendecagon 12 sides – Dodecagon 13 sides - Tridecagon or Triskaidecagon 14 sides - Tetradecagon or Tetrakaidecagon 14 N sides – n-gon

  6. Polygons are named by their sides 3 sides – Triangle 4 sides – Quadrilateral 5 sides – Pentagon 6 sides – Hexagon 7 sides – Heptagon 8 sides – Octagon 9 sides – Nonagon 10 sides – Decagon 11 sides - Hendecagon 12 sides – Dodecagon 13 sides - Tridecagon or Triskaidecagon 14 sides - Tetradecagon or Tetrakaidecagon 14 N sides – n-gon

  7. Polygons are named by their sides 3 sides – Triangle 4 sides – Quadrilateral 5 sides – Pentagon 6 sides – Hexagon 7 sides – Heptagon 8 sides – Octagon 9 sides – Nonagon 10 sides – Decagon 11 sides - Hendecagon 12 sides – Dodecagon 13 sides - Tridecagon or Triskaidecagon 14 sides - Tetradecagon or Tetrakaidecagon 14 N sides – n-gon

  8. Polygons are named by their sides 3 sides – Triangle 4 sides – Quadrilateral 5 sides – Pentagon 6 sides – Hexagon 7 sides – Heptagon 8 sides – Octagon 9 sides – Nonagon 10 sides – Decagon 11 sides - Hendecagon 12 sides – Dodecagon 13 sides - Tridecagon or Triskaidecagon 14 sides - Tetradecagon or Tetrakaidecagon 14 N sides – n-gon

  9. Polygons are named by their sides 3 sides – Triangle 4 sides – Quadrilateral 5 sides – Pentagon 6 sides – Hexagon 7 sides – Heptagon 8 sides – Octagon 9 sides – Nonagon 10 sides – Decagon 11 sides - Hendecagon 12 sides – Dodecagon 13 sides - Tridecagon or Triskaidecagon 14 sides - Tetradecagon or Tetrakaidecagon N sides – n-gon

  10. Polygons are named by their sides 3 sides – Triangle 4 sides – Quadrilateral 5 sides – Pentagon 6 sides – Hexagon 7 sides – Heptagon 8 sides – Octagon 9 sides – Nonagon 10 sides – Decagon 11 sides - Hendecagon 12 sides – Dodecagon 13 sides - Tridecagon or Triskaidecagon 14 sides - Tetradecagon or Tetrakaidecagon 14 N sides – n-gon

  11. Polygons are named by their sides 3 sides – Triangle 4 sides – Quadrilateral 5 sides – Pentagon 6 sides – Hexagon 7 sides – Heptagon 8 sides – Octagon 9 sides – Nonagon 10 sides – Decagon 11 sides - Hendecagon 12 sides – Dodecagon 13 sides - Tridecagon or Triskaidecagon N sides – n-gon

  12. Definition of Convex and Concave polygons A polygon is convex if any line can pass through two points in the polygon and without going outside of the polygon.

  13. Remember definitions Equilaterial – All sides equal Equilangluar – All angles equal Regular Polygon – All sides and angles equal.

  14. Regular Polygon – All sides and angles equal

  15. Theorem The interior angles of a Quadrilateral add to 360º The interior angles of any polygon is (n – 2) x 180º Where n is the number of sides

  16. Homework Page 326 – 328 # 18, 19, 21 – 23, 27 – 29, 37 – 39, 41 - 46

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