topic badge

Rotations

Lesson

Rotation

A rotation is what occurs when we turn an object or shape around a central point.  The object is exactly the same shape and size, just rotated around (like going in a circle). Every point on the object or shape has a corresponding point on the image. 

Commonly we describe rotations using a degree measure, and as being either clockwise or anticlockwise.

Particularly at the moment you need to be able to identify rotations of:

$90^\circ$90°, $180^\circ$180°, $270^\circ$270° and $360^\circ$360° in both clockwise and anticlockwise directions.  

Have a play with this interactive. Here you can change the shape that of the object and the position of the central rotation point. Notice how a rotation of $360^\circ$360° takes you right back to where you started.

 

Here are some worked examples.

Question 1

Which of the following figures represents the given flag after rotating it anticlockwise around the red point by 90° ?

  1. A

    B

    C

    D

    A

    B

    C

    D

 

Question 2

Which is the correct image after the original is rotated by $45^\circ$45° clockwise?

  1. $B$B

    A

    $M$M

    B

    $H$H

    C

    $A$A

    D

    $B$B

    A

    $M$M

    B

    $H$H

    C

    $A$A

    D

 

Question 3

What is the clockwise angle of rotation of the original image about point $O$O?

  1. $\editable{}$°

 

Outcomes

GM4-8

Use the invariant properties of figures and objects under transformations (refl ection, rotation, translation, or enlargement)

What is Mathspace

About Mathspace