# Polygon Notes

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Published on August 8, 2008

Author: acavis

Source: slideshare.net

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 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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