The object is the starting figure before a transformation has been applied.

The image is the resulting figure after a transformation has been applied.

A vector can be used to describe a translation.

A polygon is a flat (2D), closed figure made up of straight line segments.

Multiple transformations

Maths

Checking and securing understanding of congruence and similarity

Checking and securing understanding of rotation

Checking and securing understanding of translation

Checking and securing understanding of reflection

Checking and securing understanding of enlargement with positive integer scale factors

Checking and securing understanding of enlargement with positive fractional scale factors

Identifying multiple transformations

Problem solving with further transformations

In this unit, pupils enhanced their understanding of enlargement. In this future unit, pupils investigate the effect of an enlargement on the perimeter and area of a 2-D shape and the volume of a 3-D shape. 

In the prior unit, pupils learnt about the different types of transformations. In this unit, pupils' knowledge is extended as negative scale factors are considered as are multiple transformations.

In this unit pupils apply their knowledge of transformations to explore negative enlargement factors and the application of multiple transformations.

Further transformations

A {{}} can be used to describe a translation.

Aisha reflects shape A in the line $$y=4$$ to A'. She then reflects A' in the line $$x=4$$ to A''. Select the coordinates of P' and P''.

Jun translates shape A by  $$\begin{pmatrix} 2 \\ -1 \\ \end{pmatrix}$$ to A'. He then reflects A' in the line $$x=5$$ to A''. Select the coordinates of P' and P''.

Sam is using technology to transform some shapes. Sam wants to use Desmos to rotate a shape 90° clockwise. Which of these angles should Sam type into Desmos?

Here are some buttons that you can use in Desmos for transformations. Match each button to its function.

Rotation $$90$$° clockwise about $$(4, 1)$$

Translation by $$\begin{pmatrix} -4 \\ -5 \\ \end{pmatrix}$$

Enlargement, scale factor $$2$$, about $$(6,-3)$$

Match each transformation to its description.

The {{}} is the starting figure before a transformation has been applied.

$$\begin{pmatrix} -1 \\ -2 \\ \end{pmatrix}$$

$$\begin{pmatrix} 1 \\ 2 \\ \end{pmatrix}$$

$$\begin{pmatrix} 2 \\ 1 \\ \end{pmatrix}$$

$$\begin{pmatrix} 2 \\ -1 \\ \end{pmatrix}$$

$$\begin{pmatrix} -2\\ 1 \\ \end{pmatrix}$$

Match each description to the correct vector.

The object has been transformed into the image. The type of transformation shown by the diagram is a {{}}.

Shape c has been rotated 90° anti-clockwise about (-2, 2). The image is shape {{}}.

The point P has coordinates (-2, 3). P is reflected in different lines of reflection. Match the coordinates of the image of P to the equation of the line of reflection.

Multiple transformations

Lesson outcome