Download Chapter 6 – Polygons

Chapter 6 – Polygons
A _________________is a closed plane figure that is formed by 3 or more
segments called sides where each side intersects exactly 2 other sides, once
at each endpoint and no 2 sides with a common endpoint are collinear.
Each segment that forms a polygon is a __________. The common endpoint
of 2 sides is a __________________. A segment that connects any 2
nonconsecutive vertices is a _____________________.
# of sides
3
4
5
6
7
8
9
10
12
n
Name of polygon
Triangle
Quadrilateral
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
Dodecagon
n-gon
A polygon is equilateral if all its sides are  . It is equiangular if all its interior
angles are  . A polygon is ____________ if it is equilateral and equiangular.
If a polygon is not regular, it is called irregular.
A polygon is ____________ if any part of a diagonal contains points in the
exterior of the polygon. If no diagonal contains points in the exterior, then the
polygon is _______________. A regular polygon is always convex.
Polygon Angle Sum Theorem – The sum of the interior angle measures of a
convex polygon with n sides is: (n  2)180
The measure of each interior angle of a regular n-gon is:
( n  2)180
n
Polygon Exterior Angle Sum Theorem – The sum of the exterior angle
measures, one angle at each vertex, of a convex polygon is 360.
The measure of each exterior angle of a regular n-gon is:
360
n
Chapter 6 – Polygons
A _________________is a closed plane figure that is formed by 3 or more
segments called sides where each side intersects exactly 2 other sides, once
at each endpoint and no 2 sides with a common endpoint are collinear.
Each segment that forms a polygon is a __________. The common endpoint
of 2 sides is a __________________. A segment that connects any 2
nonconsecutive vertices is a _____________________.
# of sides
11
12
13
14
15
16
17
18
13
n
Name of polygon
Triangle
Quadrilateral
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
Dodecagon
n-gon
A polygon is equilateral if all its sides are  . It is equiangular if all its interior
angles are  . A polygon is ____________ if it is equilateral and equiangular.
If a polygon is not regular, it is called irregular.
A polygon is ____________ if any part of a diagonal contains points in the
exterior of the polygon. If no diagonal contains points in the exterior, then the
polygon is _______________. A regular polygon is always convex.
Polygon Angle Sum Theorem – The sum of the interior angle measures of a
convex polygon with n sides is: (n  2)180
The measure of each interior angle of a regular n-gon is:
( n  2)180
n
Polygon Exterior Angle Sum Theorem – The sum of the exterior angle
measures, one angle at each vertex, of a convex polygon is 360.
The measure of each exterior angle of a regular n-gon is:
360
n