1. Geometry
Section 6.1
Polygons
4/15/2017

2. 1. A plane figure formed by three or more segments called sides.
Polygon
1. A plane figure formed by three or more segments
called sides.
2. Each side intersects exactly two other sides,
one at each endpoint
Sides:
the segments that form the polygon.
Vertex:
an endpoint of a side of the polygon
No Curves!
A closed figure.

3. Identifying Polygons C D A B E one of its sides intersects
more than two other sides B
some of its sides are not
segments
(No curves allowed!) E
two of the sides intersect
only one other side
(Must be a closed figure)

4. Names 3 Triangle 4 5 Quadrilateral 6 7 Pentagon 8 9 Hexagon 10 12
Polygons are named by the # of sides they have 3 4 5 6 7 8 9 10 12 n
Triangle
Quadrilateral
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
Dodecagon
n-gon

5. all interior angles are
Convex polygon:
If you extend any of the sides, the side will not cut through the polygon.
Equilateral polygon:
All sides are
Equiangular polygon:
all interior angles are
Concave polygon:
If you extend a side, the side may cut through the polygon.

6. Identifying Convex and Concave Polygons
Identify the polygon and state whether it is convex or concave 6
hexagon
convex 7
heptagon
concave

7. Regular polygons A polygon is regular if it is both
__________and ___________
Diagonal: ____________________ ____________________.
equilateral
equiangular.
A segment that joins two nonconsecutive vertices.

8. Quadrilateral
Pentagon
Hexagon
Convex
Concave
Convex
Not regular
Not regular
Regular

9. 360
360
5(20)=
100
360
3(20)+10= 70
x = 20

10. First, solve for x

11. End
Assignment:
Pg.325 #12-34 even, odd

12. Geometry
Section 6.1
Polygons
4/15/2017

13. Polygon
Sides:
Vertex:

14. Identifying Polygons

15. Names
Polygons are named by the # of sides they have 3 4 5 6 7 8 9 10 12 n

16. Equilateral polygon: Equiangular polygon: Concave polygon:
Convex polygon:
Equilateral polygon:
Equiangular polygon:
Concave polygon:

17. Identifying Convex and Concave Polygons
Identify the polygon and state whether it is convex or concave

18. Regular polygons A polygon is regular if it is both
__________and ___________
Diagonal: ____________________ ____________________.