Everything Geometry

The Basics| Classifying Quadrilaterals | Classifying Triangles

Area & Perimeter | Angles | Circles

 

Angles

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Quadrilaterals
Area & Perimeter

Angles

Students should be able to:

  • identify and describe the relative size of acute, obtuse and straight angles with respect to right angles.


 

 

 

What is an angle?

When two rays share an endpoint they form an angle. The point where the rays intersect is called the vertex of the angle. The two rays are called the sides of the angle.

 

 

How do you measure an angle?

We measure the size of an angle by looking at how much the two sides move, or rotate, away from each other. As you can see below, the sides rotate on the vertex.

The unit of measure we use to show how much the sides have rotated is the degree (º). In the mini-movie below you can see that the angle rotates to a stop at four different measures:

  • 45º - an angle that rotates less than 90º. Also called an acute angle.
  • 90º - an angle formed when the rays are perpendicular. Also called a right angle.
  • 135º - an angle that rotates more than 90º. Also called an obtuse angle.
  • 180º - also called a straight angle.

 

The angles above are just examples. Angles can actually be any size and can face any direction. We group angles into three types, based on the size of their rotation. Click on any of the links below each angle to read about each one.

 

 

 

 

Everything Geometry

The Basics| Classifying Quadrilaterals | Classifying Triangles

Area & Perimeter | Angles | Circles

 

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