The line of reflection is the line about which an object is reflected. The object and image are equidistant from the line of reflection.

Points A and B are equidistant from a third point C if the distance AC is equal to the distance BC.

Describing a reflection

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

Reflecting objects

Introduction to enlargements

Describing an enlargement

Enlarging objects

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

It cuts the object in half to become an image.

It defines the position of the reflected image.

It defines the size of the reflected image.

It defines the rotation of the reflected image.

What is the purpose of a "line of reflection"?

Two or more things that are an equal distance away from a reference point.

When two points on an object are a distance away from the image.

When two corresponding points are parallel to the $$x$$-axis or $$y$$-axis.

When two corresponding points are an equal distance from the line of reflection.

show the orientation of each of its vertices

state if it's a horizontal, vertical, or diagonal reflection

describe the location of the line of reflection

Which pieces of information are needed to fully describe a reflection?

Which of these coordinates are suitable for defining the location of the line of reflection for this reflection?

Complete this sentence for the following description of a reflection: "A __________ reflection with line of reflection passing through the coordinates (8, 6) and (13, 6)"

The object is reflected in the line of reflection shown. Which point would be the correct location of the reflection of vertex A?

The sense of a word stays the same after a rotation because I can still read it

The sense of a word changes when I enlarge it because the letters get bigger

The sense of a word stays the same after reflection as I can read it in a mirror

The sense of a word changes if the letters are rewritten backwards

Which of these sentences use the word "sense" correctly?

In which of these images has the sense changed compared to the object?

Write down a transformation that changes the "sense" of an object.

When an object is reflected, the size of its angles are invariant. This means the angles remain {{}}.

Complete this sentence: "When an object is reflected, the orientation of the object _______ ."

Which of these diagrams shows a reflection?

Describing a reflection

Lesson outcome