We’re updating Ivy Maths.We apologise for any bugs while we make improvements. Thanks for your patience.
Ivy Maths
All topics

Year 7

Coordinates

Definition

A transformation moves or changes a shape on the coordinate grid. A translation slides every point the same distance, a reflection flips the shape in a mirror line, and a rotation turns it about a fixed point.

Why Do I Have to Learn This?

Coordinates pinpoint an exact spot using two numbers. Maps, video games and treasure hunts all rely on them.

Key Rules:

  • 1. A translation slides a shape without turning it.
  • 2. A reflection flips a shape in a mirror line, such as the x-axis or the y-axis.
  • 3. A rotation turns a shape through an angle about a centre point.
  • 4. The shape stays exactly the same size under all three transformations.

Remember:

  • Describe a translation with a vector or with words such as "3 right, 2 up".
  • Corresponding points sit the same distance either side of the mirror line.
  • State the angle, the direction and the centre when describing a rotation.

Axis (axes)

The numbered lines running across and up a graph.

The bottom axis shows the days and the side axis shows how many books were read.

Animated Example:

xy
Right 3, up 2: (3, 2)

Free Coordinates Worksheet

Download free worksheets and practise today.

Every download has a fresh set of questions.

Let’s Practise the Concept

Step 1 of 3

Which move is it?

Drag each one into the right group.

Changes the way it faces

Drop them here

Keeps the way it faces

Drop them here