1. Section 6.1
Polygons

2. Polygon
Polygon – a closed figure with segments as sides.

3. Definitions Convex – All the vertices of the polygon point “out”.
Concave – A polygon with at least one of the vertices pointing “in”.

4. Definitions Equilateral – all sides of a polygon are congruent
Equiangular – all angles of a polygon are congruent
Regular – a polygon is both equilateral and equiangular

5. Types of Polygons
Number of sides
Name 3 4 5 6 7 8 9 10 12 n

6. Types of Polygons
Number of sides
Name 3
Triangle 4 5 6 7 8 9 10 12 n

7. Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5 67 8 9 10 12 n

8. Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5
Pentagon 6 7 8 9 10 12 n

9. Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5
Pentagon 6
Hexagon 7 8 9 10 12 n

10. Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5
Pentagon 6
Hexagon 7
Heptagon/Septagon 8 9 10 12 n

11. Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5
Pentagon 6
Hexagon 7
Heptagon/Septagon 8
Octagon 9 10 12 n

12. Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5
Pentagon 6
Hexagon 7
Heptagon/Septagon 8
Octagon 9
Nonagon 10 12 n

13. Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5
Pentagon 6
Hexagon 7
Heptagon/Septagon 8
Octagon 9
Nonagon 10
Decagon 12 n

14. Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5
Pentagon 6
Hexagon 7
Heptagon/Septagon 8
Octagon 9
Nonagon 10
Decagon 12
Dodecagon n

15. Types of Polygons Number of sides Name 3 Triangle 4 Quadrilateral 5
Pentagon 6
Hexagon 7
Heptagon/Septagon 8
Octagon 9
Nonagon 10
Decagon 12
Dodecagon n
n-gon

16. Theorem
The sum of the interior angles of a quadrilateral is 360.

17. Example
x = 4

18. Homework
pg 325 #12-30, 37-39, 41-46