The document defines and discusses different types of polygons. The main points are: 1. A polygon is a plane figure formed by three or more line segments that intersect only at their endpoints to form a closed region. 2. Polygons can be classified as convex or concave based on whether any line segment connecting two points within the polygon lies entirely inside or outside the polygon. 3. Regular polygons are polygons that are both equilateral (all sides the same length) and equiangular (all interior angles the same measure).

1. POLYGONS

2. polygonnot 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 Polygonbecause sides are not segments.

6. Polygon or Not a Polygon?Not Polygonbecause sides are intersecting not just at the endpoints.

7. Polygon or Not a Polygon?Polygon

8. Polygon or Not a Polygon?Not Polygonbecause sides are intersecting not just at the endpoints.

9. Polygon or Not a Polygon?Polygon

10. Polygon or Not a Polygon?Not Polygonbecause sides are intersecting more than one other side at its endpoint.

11. Regions in a Polygon

12. Parts of a Polygonsidesconsecutive sidesincluded anglenonconsecutive sidesinterior angles / vertex anglesconsecutive anglesincluded sidenonconsecutive anglesexterior anglesdiagonals

13. ALL POLYGONS

14. ALL POLYGONS???

15. ALL POLYGONS!

16. How can these polygons be divided into two groups?

17. Convex PolygonsConcave Polygons

18. 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.

19. Convex or Concave?Convex

20. Convex or Concave?Concavebecause 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?Concavebecause a segment connecting points on the polygon that will lie in the exterior can be drawn.

23. Convex or Concave?Concavebecause 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?Concavebecause a segment connecting points on the polygon that will lie in the exterior can be drawn.

26. Naming PolygonsBADCPolygons 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 KnowledgeThink 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 POLYGONEQUILATERAL POLYGONREGULAR POLYGONConcept Emphasis

30. EQUILATERAL but not EQUIANGULAREQUILATERAL and EQUIANGULAR┌┌┌┌EQUILATERAL and EQUIANGULAREQUILATERAL but not EQUIANGULAR┌┌┌┌