Polygons Closed figure made up of line segments Concave Polygon -can have reflex angles :One or more angles greater than 180 o Convex Polygon -all angles greater than 0 o and less than 180 o
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PolygonsClosed figure made up of line segments
Concave Polygon-can have reflex angles :One or more angles greater than 180
o
Convex Polygon-all angles greater than 0o and less than 180
o
congruentSame size and same shape
similarSame shape, not necessarily the same
size
Regular Polygons
Polygon with all sides congruent and all angles congruent
Special Regular Polygons
Equilateral triangle
Square
TrianglePolygon with three sides
A
B
C Symbol: ABC
Quadrilateral Polygon with four sides
quadrilateral
trapezoid parallelogram
rectanglerhombus
square
kite
Parallelogra
mQuadrilateral with opposite sides parallel and congruent
Rectangle Parallelogram with four
right angles
Rhombus Parallelogram with four
congruent sides
SquareParallelogram with four right angles
and four congruent sides
TrapezoidQuadrilateral with one pair of
parallel sides
Pentagon Polygon with five sides
Regular Pentagon
HexagonPolygon with six sides
Regular Hexagon
HeptagonPolygon with seven sides
Regular Heptagon
OctagonPolygon with eight sides
Regular Octagon
DecagonPolygon with ten sides
convexconcave
DodecagonPolygon with twelve sides
concave convex
Total Degrees in Polygons
Figure Sides
3 # of triangles
1 x 180 =
Total degrees
1800
4 2 x 180 = 3600
5 3 x 180 = 5400
180
180
180
180
180
180
Complete the TableDo you see a pattern?
Figure Total degrees
# of triangles
Sides
78
6
n12
Regular Polygons
All sides congruent All angles congruent
Angle Measure Regular Polygons
What is degree measure of each angle of a regular polygon?
Total degrees = ??A
B C
D
E
Degrees = ???
ABCDE 1080
5400
Angle Measure Regular PolygonsEquilateral triangle = 1800 Measure each angle = 600
Square = 3600 Measure each angle = 900
Angle Measure Regular Polygons
Regular Hexagon = ?? Measure each angle = ??Regular Octagon = ?? Measure each angle = ??
Polygons
The End
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