The centre of enlargement is the point from which a shape is enlarged.

A scale factor is the multiplier between similar shapes that describes how large one shape is compared to the other.

Enlarging 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

Transformed 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 of these is NOT a method for enlarging an object?

When enlarging, an image and object can overlap.

The shape is being enlarged by a scale factor of $$1\over2$$. The centre of enlargement is marked with a cross. What are the new coordinates of B?

go through all of the vertices of the image

go through all of the vertices of the object

go through all of the vertices of both object and image

When using lines to check the position of the image, the lines must

When enlarging by a non-integer scale factor, the image is always smaller than the object.

Jun is enlarging an object by a scale factor of $$2{1\over2}$$. If one of the object's lengths is 5, what will the corresponding length be in the image?

Scale factor is the {{}} between similar shapes that describes how large one shape is compared to the other.

The invariant point from which an object is enlarged is known as the  _________________.

P has been enlarged to create A. What is the scale factor?

P has been enlarged to create A. What is the value of $$a$$?

P has been enlarged to create B. What is the scale factor?

P has been enlarged to create B. What is the value of $b$$?

Enlarging objects

Lesson outcome