Lesson 24 Activity 2:

Creating Rotations of Geometric Figures



When a shape is turned about a pivot point (centre of rotation, or rotation point), the result is a rotation. Rotation simply means "turning around a centre." The distance from the centre to any point on the shape stays the same.


Rotations have specific directions that must include the direction of the turn (clockwise or counterclockwise), the number of degrees the turn is to make, and the pivot point about which the shape is to rotate.

Note: The clockwise direction is the same way that the hands move on a clock. The counterclockwise direction is the opposite way. 

Think of rotations of geometric figures like a great game — Hot and Cold — where you are blindfolded and directions are called out to you to move first in one direction and then in another until you reach the prize. Workers in natural resources and many sports require that you use a compass. The directions that are used in orienteering are similar to this activity.


Below is an example of how to rotate a shape about a vertex or origin.




In the example above, the original shape (red triangle) is rotated 90 degrees counterclockwise to its new location (blue triangle).


Let's look at another example.




In the example above, the original shape (red triangle) is rotated about the origin 180 degrees to its new location (blue triangle).


Click on the Play button below to watch a video on the rotation of geometric shapes.





  Self-check!

Try This!

Click here to download practice questions on rotations (with answers!).

Images courtesy of www.imagesgoogle.com