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Polygons Brought to you by Cavis for President
What is a Polygon???? Any ideas? Write down what you think it is for #1.
A polygon is a closed plane figure with 3 or more sides (all straight lines, no curves).
Classifying Polygons by # of Sides 3 sided Polygon  =  Triangle Hint: Think “Tri”cycle, “tri”pod, “Tri”lateration (Tri means 3)
Classifying Polygons by # of Sides 4 sided Polygon  =  Quadrilateral Hint: Think “Quad”rant, “Quad”ruple, “Quad” (AKA 4-Wheeler)
Classifying Polygons by # of Sides 5 sided Polygon  =  Pentagon Hint: Think “Pent”athalon, or the government building “The Pentagon”
Classifying Polygons by # of Sides 6 sided Polygon  =  Hexagon Hint: Both “Hexagon” and “Six” have an ‘x’ in them
Classifying Polygons by # of Sides 7 sided Polygon  =  Heptagon Hint: ???
Classifying Polygons by # of Sides 8 sided Polygon  =  Octagon Hint: “oct”opus – 8 legs
Classifying Polygons by # of Sides 9 sided Polygon  =  Nonagon Hint: “Non” is similar to “Nine”
Classifying Polygons by # of Sides 10 sided Polygon  =  Decagon Hint: Think “Dec”ade (10 years
Classifying Polygons by # of Sides 11 sided Polygon  =  Hendecagon Hint: ???
Classifying Polygons by # of Sides 12 sided Polygon  =  Dodecagon Hint: ???
Classifying Polygons by # of Sides Q: What do we call a polygon with more than 12 sides? A: An ‘n’-gon where ‘n’ is the number of sides Ex: a 20 sided polygon is a 20-gon
Classifying Polygons by # of Sides Dodecagon 12 Hendecagon 11 Decagon 10 Nonagon 9 Octagon 8 Heptagon 7 Hexagon 6 Pentagon 5 Quadrilateral 4 Triangle 3 Name # of Sides
Two Types of Polygons Convex  – all vertices point outward Concave  – at least one vertex points inward towards the center of the polygon (The side looks like it “caved” in)
Regular Polygons A  Regular Polygon  is a polygon in which  all sides  are the same length. Equilateral Triangle      Square
Review of Similar Triangles •  2 Triangles are  similar  if they have the same shape (i.e. the same angle in the same positions)
Similar Polygons The same is true of polygons.  2 polygons are  similar  if they have the same angles in the same positions (i.e. same shape) ^ Similar Pentagons ^ Similar Trapezoids   Similar Rectangles  

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Polygon Notes

  • 1. Polygons Brought to you by Cavis for President
  • 2. What is a Polygon???? Any ideas? Write down what you think it is for #1.
  • 3. A polygon is a closed plane figure with 3 or more sides (all straight lines, no curves).
  • 4. Classifying Polygons by # of Sides 3 sided Polygon = Triangle Hint: Think “Tri”cycle, “tri”pod, “Tri”lateration (Tri means 3)
  • 5. Classifying Polygons by # of Sides 4 sided Polygon = Quadrilateral Hint: Think “Quad”rant, “Quad”ruple, “Quad” (AKA 4-Wheeler)
  • 6. Classifying Polygons by # of Sides 5 sided Polygon = Pentagon Hint: Think “Pent”athalon, or the government building “The Pentagon”
  • 7. Classifying Polygons by # of Sides 6 sided Polygon = Hexagon Hint: Both “Hexagon” and “Six” have an ‘x’ in them
  • 8. Classifying Polygons by # of Sides 7 sided Polygon = Heptagon Hint: ???
  • 9. Classifying Polygons by # of Sides 8 sided Polygon = Octagon Hint: “oct”opus – 8 legs
  • 10. Classifying Polygons by # of Sides 9 sided Polygon = Nonagon Hint: “Non” is similar to “Nine”
  • 11. Classifying Polygons by # of Sides 10 sided Polygon = Decagon Hint: Think “Dec”ade (10 years
  • 12. Classifying Polygons by # of Sides 11 sided Polygon = Hendecagon Hint: ???
  • 13. Classifying Polygons by # of Sides 12 sided Polygon = Dodecagon Hint: ???
  • 14. Classifying Polygons by # of Sides Q: What do we call a polygon with more than 12 sides? A: An ‘n’-gon where ‘n’ is the number of sides Ex: a 20 sided polygon is a 20-gon
  • 15. Classifying Polygons by # of Sides Dodecagon 12 Hendecagon 11 Decagon 10 Nonagon 9 Octagon 8 Heptagon 7 Hexagon 6 Pentagon 5 Quadrilateral 4 Triangle 3 Name # of Sides
  • 16. Two Types of Polygons Convex – all vertices point outward Concave – at least one vertex points inward towards the center of the polygon (The side looks like it “caved” in)
  • 17. Regular Polygons A Regular Polygon is a polygon in which all sides are the same length. Equilateral Triangle   Square
  • 18. Review of Similar Triangles • 2 Triangles are similar if they have the same shape (i.e. the same angle in the same positions)
  • 19. Similar Polygons The same is true of polygons. 2 polygons are similar if they have the same angles in the same positions (i.e. same shape) ^ Similar Pentagons ^ Similar Trapezoids  Similar Rectangles 