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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

“MANY” “SIDES”

Polygons are closed shapes, and they are made of at least 3 line segments.

Why is this shape NOT a polygon? line segments.

This shape is NOT “closed.” line segments.

Why can’t a polygon have only 2 sides? line segments.

With only 2 sides, the shape could not be “closed.” line segments.

Is this shape a polygon? line segments.

As a matter of fact, this IS a polygon. line segments.

This shape is “closed,” and it has 12 sides. line segments.

For our purposes, we will be discussing only convex polygons and not concave polygons.

We will learn the names for the first eight polygons. and not concave polygons.

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 the prefix “quad” by thinking “times four.”

Quadruple means x 4

You can remember this name by thinking about the building in Washington, D.C.

A six-sided polygon is called a hexagon. Washington, D.C.

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.”

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

2000

1999

1998

1997

1996

1995

TEN YEARS

1994

1993

1992

1991

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

This property is true for decade.any triangle.

Now let’s explore the sum of the 4 angles in any quadrilateral.

Any convex quadrilateral can be split into 2 triangles. quadrilateral.

Any convex pentagon can be split into 3 triangles. quadrilateral.

Now let’s chart our findings. quadrilateral.

Do you notice any pattern? quadrilateral.

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

A quadrilateral has 2 diagonals. polygons.

A pentagon has 5 diagonals. polygons.

A hexagon has 9 diagonals. polygons.

How many diagonals are in a triangle? polygons.

Do you notice any pattern? polygons.

This concludes our show on polygons. polygons.

The End.

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