# Polygons powerpoint

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Education

Published on January 13, 2009

Author: ejboggs

Source: slideshare.net

Welcome to the World of Polygons!

Polygons The word polygon means “many angles” A two dimensional object A closed figure

The word polygon means “many angles”

A two dimensional object

A closed figure

More about Polygons Made up of three or more straight line segments There are exactly two sides that meet at a vertex The sides do not cross each other

Made up of three or more straight line segments

There are exactly two sides that meet at a vertex

The sides do not cross each other

Examples of Polygons

These are not Polygons

Terms: Side: One of the line segments that make up a polygon. Vertex: point where two sides meet.

Regular Polygon: a polygon where all the angles are equal and all of the sides are the same length. They are both equilateral and equiangular

Regular Polygon: a polygon where all the angles are equal and all of the sides are the same length. They are both equilateral and equiangular

Examples of Regular Polygons

Types of Polygons

Triangle A triangle has three sides. 1 2 3

A triangle has three sides.

Everyday triangles…

There are several types of triangles

Isosceles Triangles have 2 equal sides. Equilateral Triangles have 3 equal sides Scalene Triangles have no equal sides

Isosceles Triangles have 2 equal sides.

Equilateral Triangles have 3 equal sides

Scalene Triangles have no equal sides

Acute triangles have 3 acute angles Obtuse triangles have 1 obtuse angle Right triangles have 1 right angle

Acute triangles have 3 acute angles

Obtuse triangles have 1 obtuse angle

Right triangles have 1 right angle

Square Squares have 4 equal parallel sides and 4 right angles. Squares are regular polygons

Squares have 4 equal parallel sides and 4 right angles.

Squares are regular polygons

Everyday Squares

Rectangles Rectangles have parallel sides that are equal to each other. All angles are right angles.

Rectangles have parallel sides that are equal to each other.

All angles are right angles.

Everyday Rectangles

Rhombus A rhombus has four equal parallel sides.

A rhombus has four equal parallel sides.

Parallelogram Parallelograms have opposite equal parallel sides

Parallelograms have opposite equal parallel sides

Everyday Parallelograms

Trapezoid Trapezoids have one set of parallel sides.

Trapezoids have one set of parallel sides.

Everyday Trapezoids

Pentagon A pentagon has five sides. 1 2 3 4 5

A pentagon has five sides.

Everyday Pentagons

Hexagon A hexagon has six sides. (Hexagon and six both have an “x”.)

A hexagon has six sides. (Hexagon and six both have an “x”.)

Everyday Hexagons

Heptagon A heptagon has seven sides.

A heptagon has seven sides.

Everyday Heptagons

Octagon An octagon has eight sides. Count the sides. If this octagon was red and had the word “Stop” written on it, then you would know where we see a lot of octagons.

An octagon has eight sides. Count the sides.

Everyday Octagons

Nonagons Nonagons have nine sides

Nonagons have nine sides

Everyday Nonagons

Decagon Decagons have 10 sides.

Decagons have 10 sides.

Everyday Decagons

Hendecagon Hendecagons have 11 sides

Hendecagons have 11 sides

Everyday Hendecagons

Dodecagons Dodecagons have 12 sides

Dodecagons have 12 sides

Everyday Dodecagons

A triangle is the smallest polygon because it has three sides. Can you have a two-sided polygon? Why or why not? Two lines don’t close to make a shape. They make an angle. 2 1 Key Question:

A triangle is the smallest polygon because it has three sides. Can you have a two-sided polygon? Why or why not?

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