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Polygons 100830211438-phpapp01
- 2. polygon not a polygon
- 3. What is apolygon? • 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”
- 4. Polygon or Nota Polygon?
- 5. Polygon or Nota Polygon? Polygon
- 6. Polygon or Nota Polygon?
- 7. Polygon or Nota Polygon? Not Polygon because sides are not segments.
- 8. Polygon or Nota Polygon?
- 9. Polygon or Nota Polygon? Not Polygon because sides are intersecting not just at the endpoints.
- 10. Polygon or Nota Polygon?
- 11. Polygon or Nota Polygon? Polygon
- 12. Polygon or Nota Polygon?
- 13. Polygon or Nota Polygon? Not Polygon because sides are intersecting not just at the endpoints.
- 14. Polygon or Nota Polygon?
- 15. Polygon or Nota Polygon? Polygon
- 16. Polygon or Nota Polygon?
- 17. Polygon or Nota Polygon? Not Polygon because sides are intersecting more than one other side at its endpoint.
- 18. Regions in aPolygon
- 19. Parts of aPolygon • sides ▫ consecutive sides included angle ▫ nonconsecutive sides • interior angles / vertex angles ▫ consecutive angles included side ▫ nonconsecutive angles • exterior angles
- 20. Parts of aPolygon • 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.
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- 24. How can thesepolygons be divided into two groups?
- 25. Convex Polygons Concave Polygons
- 26. Polygon Convexity A polygonalregion 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.
- 27. Convex or Concave? Convex
- 28. Convex or Concave? Concave because a segment connecting points on the polygon that will lie in the exterior can be drawn.
- 29. Convex or Concave? Convex
- 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? Concave because a segment connecting points on the polygon that will lie in the exterior can be drawn.
- 32. Convex or Concave? Convex
- 33. Convex or Concave? Concave because a segment connecting points on the polygon that will lie in the exterior can be drawn.
- 34. 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.
- 35. • Think ofwords beginning with the prefixes tri- , quad-, pent-, and oct-. • Examples: triathlon, quadriplegic, pen tameter, and octopus. • Meanings? (words and prefixes)
- 36. Polygons can benamed 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
- 37. EQUIANGULAR POLYGON EQUILATERAL POLYGON REGULAR POLYGON
- 38. EQUILATERAL but not EQUILATERAL and EQUIANGULAR EQUIANGULAR ┌ ┌ ┌ ┌ EQUILATERAL and EQUIANGULAR but not EQUIANGULAR EQUILATERAL ┌ ┌ ┌ ┌