Polygons

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
6
7
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
18
Homework

• pg 325 12-30, 37-39, 41-46