The second type of transformation we will study is **rotation**. With this transformation we need to give a little bit more information to fully define the transformation.

We must specify:

**centre of rotation**(i.e. the point that the shape is rotating around);**magnitude**(the angle that is being rotated through);**direction**(is the rotation clockwise or anticlockwise).

Let’s try rotating some shapes given this information:

**Example**

**Exercise**

Let’s complete exercises 3 and 4 on pages 183 and 184 of the core textbook:

The answers are below:

Now let’s try doing this the other way round, so we know the final position (the “**image**“) of the rotated shape, and we have to identify the centre of rotation, magnitude of rotation and direction of rotation.

**Example**

**Exercise**

Let’s complete the short exercise 5 on page 185 of the core textbook: