Alastair Duncombe, Belle Cottingham, Rob Ellis and, Amanda George Solutions for Chapter: Transformation, Exercise 3: Exercise 3

Write whether the statement is true or false:

A $90°$ clockwise rotation is the same as a $270°$ anticlockwise rotation.                      

Write whether the statement is true or false:

The image of an object under a rotation is congruent to the object.

Write whether the statement is true or false:

A $180°$ rotation is the same as a reflection in the line $y = x$.                  

Write whether the statement is true or false: 

The $90°$ clockwise rotation of $(4, 5)$ about $(0, 0)$ is $(5,-4)$.             

The diagram shows shape P. It also shows part of the image of P under a single transformation. Complete the image.

Investigate what happens to the point $(a, b)$ when it is rotated by $90°$ clockwise about the origin.

Investigate what happens to the point $(a, b)$ when it is rotated by $90°$ anticlockwise about the origin.

 Investigate what happens to the point $(a, b)$ when it is rotated by $180°$ about the origin.