Polygons

1
Polygons

• Objectives
• Identify, name and describe polygons
• Solve problems involving sum of the interior
  angles of a quadrilateral

2

• Definition of a Polygon - a plane figure that
  meets the following conditions
• Formed by three or more segments called sides,
  such that no two sides with a common endpoint are
  collinear
• 2) Each side intersects exactly two other sides,
  one at each endpoint

3
Naming Polygons
B
A
C
E
D
sides vertices angles
4
Def A diagonal of a polygon is a line segment
whose endpoints are two non-consecutive vertices
of the polygon.
5
Def A Convex Polygon is a polygon where every
diagonal is inside the polygon
NO
YES
6
Def A Concave Polygon is a polygon that is not
convex
7
Def A Polygon is equilateral iff all the sides
are congruent
8
Def A Polygon is equiangular iff all the angles
are congruent
Def A Polygon is regular iff it is both
equilateral and equiangular
9
Complete chart
10
Complete chart
11
Complete chart
12
Complete chart
13
Complete chart
14
Complete chart
15
Complete chart
16
Complete chart
17
Complete chart
18

• The sum of the measures of the interior angles
  of a quadrilateral is 360

19
(No Transcript)
20
(No Transcript)
21
(No Transcript)
22
(No Transcript)
23
How many Diagonals
24
Review

• (n-2)180 sum of interior angles
• n(n-3)/2 number of diagonals
• Note n number sides

25
Homework

• Pages 325 327 1-46 even