Geometry Developing Formulas for Circles and Regular Polygons
Geometry polygons
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Transcript of Geometry polygons
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CLASSIFYING POLYGONS
What is a polygon?
Any ideas?
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A polygon is a closed plane figure with 3 or more sides (all A polygon is a closed plane figure with 3 or more sides (all straight lines, no curves).straight lines, no curves).
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Classifying Polygons by # of Sides
3 sided Polygon = Triangle
Hint: Think “Tri”cycle, “tri”pod, “Tri”lateration (Tri means 3)
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Classifying Polygons by # of Sides
4 sided Polygon = Quadrilateral
Hint: Think “Quad”rant, “Quad”ruple, “Quad” (AKA 4-Wheeler)
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Classifying Polygons by # of Sides
5 sided Polygon = Pentagon
Hint: Think “Pent”athalon, or the government building “The Pentagon”
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Classifying Polygons by # of Sides
6 sided Polygon = Hexagon
Hint: Both “Hexagon” and “Six” have an ‘x’ in them
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Classifying Polygons by # of Sides
7 sided Polygon = Heptagon
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Classifying Polygons by # of Sides
8 sided Polygon = Octagon
Hint: “oct”opus – 8 legs
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Classifying Polygons by # of Sides
9 sided Polygon = Nonagon
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Classifying Polygons by # of Sides
10 sided Polygon = Decagon
Hint: Think “Dec”ade (10 years
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Classifying Polygons by # of Sides
11 sided Polygon = Hendecagon
Hint: ???
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Classifying Polygons by # of Sides
12 sided Polygon = Dodecagon
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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
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Classifying Polygons by # of Sides# of Sides# of Sides NameName
33 TriangleTriangle
44 QuadrilateralQuadrilateral
55 PentagonPentagon
66 HexagonHexagon
77 HeptagonHeptagon
88 OctagonOctagon
99 NonagonNonagon
1010 DecagonDecagon
1111 HendecagonHendecagon
1212 DodecagonDodecagon
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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)
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Regular PolygonsA Regular Polygon is a polygon in which all sides are the same
length.
Equilateral Triangle Square
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Review of Similar Triangles
• 2 Triangles are similar if they have the same shape (i.e. the same angle in the same positions)
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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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