Polygons.

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Presentation transcript:

Polygons

What is a Polygon???? Any ideas?

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 Name 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 Heptagon 8 Octagon 9 Nonagon 10 Decagon 11 Hendecagon 12 Dodecagon

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)

A Regular Polygon is a polygon in which all sides are the same length. 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 Trapezoids  ^ Similar Pentagons ^ Similar Rectangles 