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Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
Polygons
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Polygons

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  • 1. POLYGONS
  • 2. polygon
    not a polygon
  • 3. 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”
    What is a polygon?
  • 4. Polygon or Not a Polygon?
    Polygon
  • 5. Polygon or Not a Polygon?
    Not Polygon
    because sides are not segments.
  • 6. Polygon or Not a Polygon?
    Not Polygon
    because sides are intersecting not just at the endpoints.
  • 7. Polygon or Not a Polygon?
    Polygon
  • 8. Polygon or Not a Polygon?
    Not Polygon
    because sides are intersecting not just at the endpoints.
  • 9. Polygon or Not a Polygon?
    Polygon
  • 10. Polygon or Not a Polygon?
    Not Polygon
    because sides are intersecting more than one other side at its endpoint.
  • 11. Regions in a Polygon
  • 12. Parts of a Polygon
    sides
    consecutive sides
    included angle
    nonconsecutive sides
    interior angles / vertex angles
    consecutive angles
    included side
    nonconsecutive angles
    exterior angles
    diagonals
  • 13. ALL POLYGONS
  • 14. ALL POLYGONS???
  • 15. ALL POLYGONS!
  • 16. How can these polygons be divided into two groups?
  • 17. Convex Polygons
    Concave Polygons
  • 18. Polygon Convexity
    A 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.
  • 19. Convex or Concave?
    Convex
  • 20. Convex or Concave?
    Concave
    because a segment connecting points on the polygon that will lie in the exterior can be drawn.
  • 21. Convex or Concave?
    Convex
  • 22. Convex or Concave?
    Concave
    because a segment connecting points on the polygon that will lie in the exterior can be drawn.
  • 23. Convex or Concave?
    Concave
    because a segment connecting points on the polygon that will lie in the exterior can be drawn.
  • 24. Convex or Concave?
    Convex
  • 25. Convex or Concave?
    Concave
    because a segment connecting points on the polygon that will lie in the exterior can be drawn.
  • 26. Naming Polygons
    B
    A
    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.
  • 27. Connecting to Prior Knowledge
    Think of words beginning with the prefixes tri-, quad-, pent-, and oct-.
    Examples: triathlon, quadriplegic, pentameter, and octopus.
    Meanings? (words and prefixes)
  • 28. Polygons can be named by their number of sides.
  • 29. EQUIANGULAR POLYGON
    EQUILATERAL POLYGON
    REGULAR POLYGON
    Concept Emphasis
  • 30. EQUILATERAL but not EQUIANGULAR
    EQUILATERAL and EQUIANGULAR




    EQUILATERAL and EQUIANGULAR
    EQUILATERAL but not EQUIANGULAR




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