Published on: **Mar 4, 2016**

- 1. polygon not a polygon
- 2. What is a polygon?• A polygon is a plane figure.• A polygon is a closed region.• A polygon is formed by three or more segments as its sides.• Each side of a polygon intersects only one segment at each of its endpoints.• poli + gonus “many angled”
- 3. Polygon or Not a Polygon?
- 4. Polygon or Not a Polygon? Polygon
- 5. Polygon or Not a Polygon?
- 6. Polygon or Not a Polygon? Not Polygon because sides are not segments.
- 7. Polygon or Not a Polygon?
- 8. Polygon or Not a Polygon? Not Polygon because sides are intersecting not just at the endpoints.
- 9. Polygon or Not a Polygon?
- 10. Polygon or Not a Polygon? Polygon
- 11. Polygon or Not a Polygon?
- 12. Polygon or Not a Polygon? Not Polygon because sides are intersecting not just at the endpoints.
- 13. Polygon or Not a Polygon?
- 14. Polygon or Not a Polygon? Polygon
- 15. Polygon or Not a Polygon?
- 16. Polygon or Not a Polygon? Not Polygon because sides are intersecting more than one other side at its endpoint.
- 17. Regions in a Polygon
- 18. Parts of a Polygon• sides ▫ consecutive sides included angle ▫ nonconsecutive sides• interior angles / vertex angles ▫ consecutive angles included side ▫ nonconsecutive angles• exterior angles
- 19. Parts of a Polygon• Diagonals ▫ A diagonal of a polygon is any segment that joins two nonconsecutive vertices. Figure shows five- sided polygon QRSTU. Segments QS , SU , UR , RT and QT are the diagonals in this polygon.
- 20. ALL POLYGONS
- 21. ALL POLYGONS???
- 22. ALL POLYGONS!
- 23. How can these polygons be divided into two groups?
- 24. Convex Polygons Concave Polygons
- 25. Polygon ConvexityA polygonal region is convex if any segment joining any two points of the polygon is part of the interior region.If a polygon is not convex, then its is concave.
- 26. Convex or Concave? Convex
- 27. Convex or Concave? Concave because a segment connecting points on the polygon that will lie in the exterior can be drawn.
- 28. Convex or Concave? Convex
- 29. Convex or Concave? Concave because a segment connecting points on the polygon that will lie in the exterior can be drawn.
- 30. Convex or Concave? Concave because a segment connecting points on the polygon that will lie in the exterior can be drawn.
- 31. Convex or Concave? Convex
- 32. Convex or Concave? Concave because a segment connecting points on the polygon that will lie in the exterior can be drawn.
- 33. A B D C Polygons are named by writing their consecutive vertices in order, such as ABCD or CDAB for the polygon above. We cannot name the polygon as DBAC.
- 34. • Think of words beginning with the prefixes tri- , quad-, pent-, and oct-.• Examples: triathlon, quadriplegic, pen tameter, and octopus.• Meanings? (words and prefixes)
- 35. Polygons can be named by their number of sides. Number of Sides Name of Polygon 3 triangle 4 quadrilateral 5 pentagon 6 hexagon 7 heptagon 8 octagon 9 nonagon 10 decagon 11 undecagon 12 dodecagon
- 36. EQUIANGULAR POLYGON EQUILATERAL POLYGON REGULAR POLYGON
- 37. EQUILATERAL but not EQUILATERAL and EQUIANGULAR EQUIANGULAR ┌ ┌ ┌ ┌ EQUILATERAL and EQUIANGULAR but not EQUIANGULAR EQUILATERAL ┌ ┌ ┌ ┌