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Polygons

- By Beth Roberts

Polygons

- A polygon is a figure that is made up of only

line segments. It is a closed figure and its

sides intersect in exactly two places. - There are many different polygons this

will look at the triangle, quadrilateral,

pentagon, hexagon, heptagon, octagon, nonagon and

decagon. - There are regular polygons and irregular polygons.

Regular Polygons

- A regular polygon is a polygon where all sides

are equal in length and all angles have the same

measure. - An equilateral triangle is a regular polygon and

so is a square.

Irregular Polygons

- In an irregular polygon, one or more sides do not

equal the length of the others.

Triangles

- A triangle is the simplest polygon.
- Triangles only have three sides.
- There are several different types of triangles.
- The sum of the angle measures in a triangle is

180 degrees.

Triangles (continued)

- Triangles classified by their sides are the

isosceles, scalene and equilateral. - Triangles classified by their angle measure are

the acute, obtuse and right.

Triangles (continued)

- Triangle Image

Quadrilaterals

- A quadrilateral is a four-sided polygon.
- The sum of the angle measures in a quadrilateral

is 360 degrees. - There are several different types of

quadrilaterals.

Types of Quadrilaterals

- Rectangle any quadrilateral where all four

angles are right angles. - Square - a quadrilateral with four equal sides

that meet at 90 degree angles. - Parallelogram - a quadrilateral with two sets of

parallel sides.

Types of Quadrilaterals (continued)

- Rhombus - a quadrilateral where all four sides

are of equal length. The difference between a

square and a rhombus is that in a rhombus, all

the sides don't need to meet at 90 degree angles.

- Trapezoid - a quadrilateral that has exactly one

pair of parallel sides.

Images of Quadrilaterals

- Quadrilaterals

Pentagon

- A pentagon is a five-sided polygon.
- The sum of the angles in a pentagon is 540

degrees.

Hexagon

- A hexagon is a six-sided polygon.
- The sum of the angles in a hexagon is 720

degrees.

Heptagon

- A heptagon is a seven-sided polygon.
- The sum of the angle measures in a heptagon is

900 degrees.

Octagon

- An octagon is an eight-sided figure.
- The sum of the angle measures in an octagon is

1080 degrees.

Nonagon

- A nonagon is a nine-sided figure.
- The sum of the angle measures in a nonagon is

1260 degrees.

Decagon

- A decagon is a ten-sided figure.
- The sum of the angle measures in a decagon is

1440 degrees.

Links to Web Pages for More Information on

Polygons

- Figures and Polygons
- Polygons
- How Many Sides?
- What is a Polygon?

Further Information

- Polygon Worksheet
- Worksheet Answers
- Back to Polygon Information

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