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Offentliggjort afMathias Thorsen Redigeret for ca. et år siden
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6.1 Polygons Convex verse Concave
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Definition of a Polygon A polygon is a figure on a plane with three or more sides that meet at a vertex.
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Name of this Polygon ABCD, CDAB, or DABC You want to list the vertices in some order.
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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
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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
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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
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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
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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
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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
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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
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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
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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.
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Remember definitions Equilaterial – All sides equal Equilangluar – All angles equal Regular Polygon – All sides and angles equal.
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Regular Polygon – All sides and angles equal
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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
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Homework Page 326 – 328 #18, 19, 21 – 23, 27 – 29, 37 – 39, 41 - 46
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