1. a closed figure whose sides are straight line segments.
Patterns In Geometry
A polygon is
The number of sides determines the name of the polygon.
3: 6: 9:
4: 7: 10:
5: 8: n:
Example 1: State whether the figure is a polygon. If it is, name it. If it is not, explain why.
a. b. c.
d. e. f.
a closed figure whose sides are straight line segments.
triangle
hexagon
nonagon
quadrilateral
heptagon
decagon
pentagon
octagon
n-gon

2. You can draw a total of 9 different diagonals in a hexagon
A diagonal is
Use what you learned to write a verbal model and an algebraic model
for the number of diagonals in a polygon.
A segment that connects two vertices of a polygon and is not a side .
You can draw 3 diagonals from a single vertex
You can draw a total of 9 different diagonals in a hexagon
Type of Polygon
Number of
Vertices
Diagonals From
a Single Vertex
Total Number
of Diagonals
Triangle
Quadrilateral
Pentagon
Hexagon
Heptagon
Octagon