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POLYGONS “MANY” “SIDES” A polygon is a 2-dimensional shape. This means that polygons have both length and width. L E N G T H WIDTH Polygons are closed shapes, and they are made of at least 3 line segments. Why is this shape NOT a polygon? This shape is NOT “closed.”

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Polygons l.jpg

POLYGONS

“MANY” “SIDES”









Is this shape a polygon l.jpg
Is this shape a polygon? line segments.








A one sided polygon is called l.jpg
A one-sided polygon is called…? and not concave polygons.


Slide17 l.jpg
That’s a trick question. There is no such thing as a one-sided polygon. Remember, polygons must have at least 3 sides.


A 3 sided polygon is called a triangle l.jpg
A 3-sided polygon is called a triangle. one-sided polygon. Remember, polygons must have at least 3 sides.


You can remember the prefix tri by thinking of a tricycle a tricycle has 3 wheels l.jpg
You can remember the prefix “tri” by thinking of a tricycle. A tricycle has 3 wheels.


A 4 sided polygon is called a quadrilateral l.jpg
A 4-sided polygon is called a quadrilateral. tricycle. A tricycle has 3 wheels.






Slide25 l.jpg
You can remember that a hexagon has six sides because the words hexagon and six both have the letter “x.”




You can remember the prefix hept by thinking of the heptathalon in the olympics l.jpg
You can remember the prefix “hept” by thinking of the heptathalon in the Olympics.

heptathlon—a two-day event in which athletes compete in the 100-meter hurdles, high jump, shot put, and 200-meter dash on the first day and in the long jump, javelin, and 800-meter race on the second day.


Slide29 l.jpg

Joyner-Kersee, Jackie heptathalon in the Olympics.Joyner-Kersee, Jackie (1962- ), American track-and-field athlete, who won the heptathlon event (an all-around event) at the Olympic Games in 1988 and 1992. She is considered one of the greatest female athletes.


An 8 sided polygon is called an octagon l.jpg
An 8-sided polygon is called an octagon. heptathalon in the Olympics.




Slide33 l.jpg
You can remember that a nonagon has nine sides because the words nonagon and nine both have two “ns.”



You can remember the prefix dec by thinking about a decade l.jpg
You can remember the prefix “dec” by thinking about a decade.

2000

1999

1998

1997

1996

1995

TEN YEARS

1994

1993

1992

1991







Slide51 l.jpg

If a circle has 360 decade., then ½ of a circle must have 180.


This property is true for any triangle l.jpg
This property is true for decade.any triangle.




If each triangle consists of 180 then 2 triangles would total 360 l.jpg
If each triangle consists of 180 quadrilateral., then 2 triangles would total 360.

180

180


This can easily be seen in the square l.jpg
This can easily be seen in the square. quadrilateral.

90 + 90 + 90 + 90 = 360

90

90

90

90



Each triangle consists of 180 l.jpg
Each triangle consists of 180 quadrilateral..

180

180

180


Slide60 l.jpg

180 quadrilateral. + 180 + 180 = 540

180

180

180




Slide63 l.jpg

As the number of sides on the polygons increase by 1 side, the sum of the angles increases by 180.

+ 180

+ 180


What is the sum of all angles in a convex hexagon l.jpg
What is the sum of all angles in a convex hexagon? the sum of the angles increases by 180


Slide65 l.jpg

hexagon the sum of the angles increases by 180


Slide66 l.jpg

hexagon the sum of the angles increases by 180

720













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