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What is translation?

Translation is the word we use when shapes move up, down, left and right.

Let's start with a simple problem. We're going to move the furniture in Boo's bedroom around using translation.

A bedroom with a bed, desk, chair and table

Here is a floor plan of the furniture in Boo's room.

A floor plan divided into squares showing the position of a bed, desk, table and wardrobe

Example 1

Boo moves the bed to a new position. How many squares has she moved her bed by?

A floor plan divided into squares showing the new position of a bed, desk, table and wardrobe

When a shape is translated, each of the vertices (corners) must be moved in exactly the same way.

The bed has four corners which we've labelled vertex a, b, c and d.

If you count along the squares from each corner you'll see that each vertex has moved 3 squares to the right.

A floor plan divided into squares showing the position of a bed, desk, table and wardrobe with the vertices and old position and new position of the bed labelled
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Example 2

Boo has moved the table to a new position.

A floor plan divided into squares showing the position of a bed, desk, table and wardrobe with the vertices and old position and new position of a table labelled

The table has been moved diagonally, which means the shape has translated up or down as well as left or right.

If we translate one vertex at a time we can see that vertex a has translated 3 squares down and 3 squares to the left.

Top tip!

When a shape is translated all of the vertices stay aligned.

If we know the position of one vertex we can easily work out the position of the other vertices without having to translate them corner by corner.

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Activity

Quiz

This activity will help you practise translating shapes.

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