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# POLYGONS - PowerPoint PPT Presentation

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

“MANY” “SIDES”

Is this shape a polygon? line segments.

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

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. 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.

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

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.

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.

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. heptathalon in the Olympics.

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

2000

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TEN YEARS

1994

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1991

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

This property is true for decade.any triangle.

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

180

180

This can easily be seen in the square. quadrilateral.

90 + 90 + 90 + 90 = 360

90

90

90

90

Each triangle consists of 180 quadrilateral..

180

180

180

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

180

180

180

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? the sum of the angles increases by 180

hexagon the sum of the angles increases by 180

hexagon the sum of the angles increases by 180

720

+ 2

+3

+4