Lesson 24 — Activity 3: Rotations


Getting Ready


In this activity, you will learn about rotations (turns). In a turn, an object will be moved around a specific point called a turn centre.

A rotation (turn) involves turning an original object around a turn centre to make a congruent (or identical) image of the original object in another location and facing another direction.

Rotations can be either clockwise or counterclockwise around a turn centre. Two of the most common rotations are 90° and 180°, but you can rotate an object at any degree of measure.


This image shows a rotation.
Image courtesy of K&E Studio

Digging Deeper

Watch this video to learn more about rotations.


Look at the diagram below that shows a rotation of 90° around the centre of rotation. Look at how the coloured lines are the same distance from the centre of rotation in both shapes.


Look closely at this example.
                         


In the example below, the shape has been rotated 180° around the centre of rotation.

Look closely at this example as well.

 

Where the rotated shape is placed on graphing paper may vary, but the image of the actual rotation must be exact.


Now look at this shape:


You will see how this shape can be rotated.

Here is the rotation 90° clockwise about the origin:


You can see the triangle has been rotated.


Try This:

Rotate this shape 90° clockwise about the origin. Click here to access a copy to print.


Rotation Practise


(Where the rotated shape is placed may vary, but the image of the actual rotation must be exact.)


Rotation Practise Answer


Digging Deeper

Click here to watch this video to see examples of the transformations you have learned about as they occur in the real world.




Digging Deeper

Before you complete a final assignment on rotations, click here to play a game to identify translations, reflections, and rotations.