Download Polygons Notes

Polygons Notes
A polygon is a plane figure that meets the following conditions:
a) A shape that is formed by three or more segments called_______________.
b) Each side intersects exactly two other sides, one at each endpoint, called the ________________.
The plural of vertex is vertices. To name a polygon list its vertices consecutively.
(Polygon: straight sides, closed figure.)
A
Name the Polygon:
E
B
D
C
State whether the following are polygons. If it is not, explain why.
A)
B)
C)
Classifying Polygons: with n number of sides.
n
3
4
5
6
7
Classification
n
8
9
10
12
n
Classification
Convex Polygon: All vertices are________________________________ the polygon.
Concave Polygon: Some vertices point in towards the center of the polygon.
Classify the polygon and determine whether it is convex or concave.
A)
B)
C)
D)
E)
A polygon is regular if it is both ____________________ and ____________________.
Classify each polygon, then decide whether the polygon is regular.
A)
B)
C)
____________________
____________________
____________________
____________________
____________________
____________________
6.1 Polygon Angle-Sum Theorem
Polygon Angle-Sun Theorem:
The sum of the measures of the interior angles of an n-gon is (n-2)180.
Corollary:
The measure of each interior angle of a regular n-gon is
.
The sum of the interior angles of a quadrilateral is _________.
An size of one angle of a regular hexagon is ___________.
Use the diagram to solve for x.
A)
B)
x
70°
80°
C)
102°
2x
58°
6x-15
4x+20
107°
13x
HMW p. 356-358 8, 12, 15, 29, 47, 50, 52, 53, 40, 41