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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

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## POLYGONS

“MANY” “SIDES”

L

E

N

G

T

H

WIDTH

### 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, JackieJoyner-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.

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### If you tear off the three corners of any triangle…

If you tear off the three corners of any triangle…

…you can arrange the three angles to form a semicircle.

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

180

180

### This can easily be seen in the square.

90 + 90 + 90 + 90 = 360

90

90

90

90

### Each triangle consists of 180.

180

180

180

180 + 180 + 180 = 540

180

180

180

### Now let’s chart our findings.

Do you notice any pattern?

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

+ 180

+ 180

hexagon

hexagon

720

### Now let’s chart our findings and look for a pattern.

Do you notice any pattern?

Now let’s chart our findings and look for a pattern.

+ 2

+3

+4

The End.