Geometry polygons
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The document defines and classifies different types of polygons based on the number of sides. A polygon is a closed shape made of three or more straight lines. They are classified as triangles for 3 sides, quadrilateral for 4 sides, pentagon for 5 sides, and so on, with specific names given for polygons up to 12 or more sides. Regular polygons are those where all sides are the same length. Two polygons are similar if they have the same angle measurements in the same positions, even if the sides are different lengths.
Geometry polygons
- 1. CLASSIFYING POLYGONS What is a polygon? Any ideas?
- 2. A polygon is a closed plane figure with 33 oorr mmoorree ssiiddeess ((aallll ssttrraaiigghhtt lliinneess,, nnoo ccuurrvveess))..
- 3. Classifying Polygons by # of Sides 3 sided Polygon = Triangle Hint: Think “Tri”cycle, “tri”pod, “Tri”lateration (Tri means 3)
- 4. Classifying Polygons by # of Sides 4 sided Polygon = Quadrilateral Hint: Think “Quad”rant, “Quad”ruple, “Quad” (AKA 4-Wheeler)
- 5. Classifying Polygons by # of Sides 5 sided Polygon = Pentagon Hint: Think “Pent”athalon, or the government building “The Pentagon”
- 6. Classifying Polygons by # of Sides 6 sided Polygon = Hexagon Hint: Both “Hexagon” and “Six” have an ‘x’ in them
- 7. Classifying Polygons by # of Sides 7 sided Polygon = Heptagon
- 8. Classifying Polygons by # of Sides 8 sided Polygon = Octagon Hint: “oct”opus – 8 legs
- 9. Classifying Polygons by # of Sides 9 sided Polygon = Nonagon
- 10. Classifying Polygons by # of Sides 10 sided Polygon = Decagon Hint: Think “Dec”ade (10 years
- 11. Classifying Polygons by # of Sides 11 sided Polygon = Hendecagon Hint: ???
- 12. Classifying Polygons by # of Sides 12 sided Polygon = Dodecagon
- 13. 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
- 14. Classifying Polygons by # of Sides # ooff SSiiddeess NNaammee 33 TTrriiaannggllee 44 QQuuaaddrriillaatteerraall 55 PPeennttaaggoonn 66 HHeexxaaggoonn 77 HHeeppttaaggoonn 88 OOccttaaggoonn 99 NNoonnaaggoonn 1100 DDeeccaaggoonn 1111 HHeennddeeccaaggoonn 1122 DDooddeeccaaggoonn
- 15. 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)
- 16. Regular Polygons A Regular Polygon is a polygon in which all sides are the same length. Equilateral Triangle Square
- 17. Review of Similar Triangles • 2 Triangles are similar if they have the same shape (i.e. the same angle in the same positions)
- 18. 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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