5-7 Diagonals and Angles of Polygons
Algebra/Geometry Essentials
Polygon:
• ________________________________________________________
_________________________________________________________
• Each side intersects exactly __________ other segments
• The point at which endpoints meet is called a _______________
Polygons are named by _________________________________________________.
Number of Sides
3
Name of Polygon
4
5
6
7
8
9
10
n
13
20
Convex Polygon: ______________________________________________________
____________________________________________________
Concave Polygon: _____________________________________________________
____________________________________________________
Are these concave or convex?
Regular Polygon: _____________________________________________________
Are these regular? If not, why?
1. A square?
________________________________________
2. A rectangle? ________________________________________
3. A trapezoid? ________________________________________
Diagonal: ___________________________________________________________
Angle Sum of a Polygon
For a polygon with n sides, the angle sum formula is: _________________
Find the angle sum of these polygons:
1. A triangle
1. __________
2. A Quadrilateral
2. __________
3. A Pentagon
3. __________
Individual Angle Measure of a Regular Polygon
For a polygon with n sides, the individual angle measure formula is: _________________
Find the individual angle measure for these polygons:
1. A regular octagon
1. __________
2. A regular hexagon
2. __________
3. A regular decagon
3. __________