The document defines and describes polygons. A polygon is a closed figure with three or more line segments as sides. Each side intersects exactly two other sides at a vertex. Regular polygons have all equal side lengths and interior angles. The document discusses properties of polygons like the number of diagonals that can be drawn from a single vertex in regular and irregular polygons. Examples of regular and irregular polygons are provided.

1. 9.6 Polygons
February 23, 2011

3. A polygon is a closed figure by three or
more segments called sides.

4. A polygon is a closed figure by three or
more segments called sides.
Each side intersects exactly two other sides at a
vertex.

5. A polygon is a closed figure by three or
more segments called sides.
Each side intersects exactly two other sides at a
vertex.

6. A polygon is a closed figure by three or
more segments called sides.
Each side intersects exactly two other sides at a
vertex.

8. What shape do you see in the black parts of
the soccer ball?

9. What shape do you see in the black parts of
the soccer ball?
What shape do you see in the white parts of
the soccer ball?

10. What shape do you see in the black parts of
the soccer ball?
What shape do you see in the white parts of
the soccer ball?

12. A regular polygon is a polygon with all
equal side lengths and angle measures.

13. A regular polygon is a polygon with all
equal side lengths and angle measures.
Regular

14. A regular polygon is a polygon with all
equal side lengths and angle measures.
Regular

15. A regular polygon is a polygon with all
equal side lengths and angle measures.
Regular

16. A regular polygon is a polygon with all
equal side lengths and angle measures.
Regular

17. A regular polygon is a polygon with all
equal side lengths and angle measures.
Regular

18. A regular polygon is a polygon with all
equal side lengths and angle measures.
Regular

19. A regular polygon is a polygon with all
equal side lengths and angle measures.
Regular
Not regular

20. A regular polygon is a polygon with all
equal side lengths and angle measures.
Regular
Not regular

21. A regular polygon is a polygon with all
equal side lengths and angle measures.
Regular
Not regular

22. A regular polygon is a polygon with all
equal side lengths and angle measures.
Regular
Not regular

23. A regular polygon is a polygon with all
equal side lengths and angle measures.
Regular
Not regular

24. A regular polygon is a polygon with all
equal side lengths and angle measures.
Regular
Not regular

25. Matching Game
Regular Not Regular
3 1
2
6
10
4
8
5
7
9

26. Matching Game
Regular Not Regular
3 1
2
6
10
4
8
5
7
9

29. A diagonal of a polygon is a segment, other
than a side, that connects two vertices of the
polygon.

30. A diagonal of a polygon is a segment, other
than a side, that connects two vertices of the
polygon.
How many diagonals can be drawn from one
vertex of a regular pentagon? How many triangles
do the diagonals make?

31. `
Use the shape function above to create a
heptagon and the shape of your choice. How
many diagonals can you make from one vertex of
each of the shapes?
http://www.mathopenref.com/
polygondiagonal.html

32. `
Use the shape function above to create a
heptagon and the shape of your choice. How
many diagonals can you make from one vertex of
each of the shapes?
http://www.mathopenref.com/
polygondiagonal.html

35. `