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

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

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

Problem solving with transformations

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

Transformed objects

Investigating transformations with Desmos

Investigating transformations with GeoGebra

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

The perimeter and area are the same after a translation, rotation or reflection because the object and image are {{ }}.

Rotation $${90^{\circ}}$$ clockwise about $$(2,7)$$

Rotation $${90^{\circ}}$$ clockwise about $$(7,2)$$

Rotation $${270^{\circ}}$$ anti-clockwise about $$(2,7)$$

A shape is rotated $${90^{\circ}}$$ anti-clockwise about $$(2,7)$$. Which of the following rotations would result in the image being moved to the same position as the original object?

The coordinate $$(a, b)$$ has been translated by $${4 \choose 3}$$. The image of this point will have the coordinate __________.

A rotation $${180^{\circ}}$$ about the origin.

A reflection in the line that passes through $$(-4, 4)$$ and $$(3, -3)$$

A reflection in the line that passes through (4, 4) and (-2, -2)

Shape A is reflected in the $$x$$-axis to create shape B. Shape B is then reflected in the $$y$$-axis to create shape C. Which transformations would map shape C onto shape A? 

A shape with perimeter 16 cm is enlarged by scale factor 3. The perimeter of the image is {{ }} cm.

The point A(p + 3, q + 5) has the image $$A^{\prime}$$(p + 1, q + 8). Which vector has it been translated by?

The {{ }} is the distance around a 2D shape.

by $${90^{\circ}}$$ clockwise about (3,4)

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

What is the area of a triangle with a base length of 6 cm and perpendicular height of 8 cm?

Which transformation does this property table belong to?

The point (3, 5) is reflected in the {{ }}-axis to become (-3, 5).

Problem solving with transformations

Lesson outcome