A transformation is a process that may change the size, orientation or position of a shape.

If one shape can fit exactly on top of another using rotation, reflection or translation, then the shapes are congruent.

A property of a shape is invariant if that property has not changed after the shape is transformed.

Transformed objects

Maths

Checking understanding of basic transformations

Introduction to translation

Describing a translation

Translating objects

Introduction to rotations

Describing a rotation's direction and size

Understanding the centre of rotation

Rotating objects

Introduction to reflections

Describing a reflection

Reflecting objects

Introduction to enlargements

Describing an enlargement

Enlarging objects

Investigating transformations with Desmos

Investigating transformations with GeoGebra

Problem solving with transformations

In this unit, pupils explore the effects of different transformations and whether the transformed shape is congruent or similar to the original shape. This is built on in the future unit where pupils formalise the criteria for determining congruence in triangles and study rotational symmetry

In this unit, pupils translated and reflected simple shapes on the full coordinate grid. In this unit, these processes are formalised and rotation and enlargement are introduced

This unit introduces pupils to shape tranformations: enlargements, rotations, reflections and translations both by hand and with technology.

Transformations

Which transformation does this property table belong to?

Select the diagrams that could have been a rotation.

The line of reflection is {{ }} from both the object and image. 

The object has been rotated about the point O, through  __________.

An enlargement from point O by scale factor 3.

An enlargement from point O by scale factor $${1} \over {3}$$.

Choose the correct description for this transformation.

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

Which transformation changes the sense of an object?

When describing a rotation, you must state three things: the centre of rotation, the amount of turn and the {{ }}.

 you need to count the enlarged length from the centre of enlargement

if the scale factor is between 0 and 1 lengths reduce. e.g. scale factor = 1/2

"When an object is enlarged, the image will always end up further away from the centre of enlargement." Select true or false and a justifying statement.

A transformation has taken place in this diagram. Select all of the invariant properties.

by $${270^{\circ}}$$ clockwise about (3,4).

Complete the descriptions below by matching the transformation with the detail needed to describe it fully.

Transformed objects

Lesson outcome