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Translations on Coordinate Axes

In this worksheet, students translate shapes on a coordinate grid.

'Translations on Coordinate Axes' worksheet

Key stage:  KS 2

Curriculum topic:   Geometry: Position and Direction

Curriculum subtopic:   Draw/Translate Shapes

Difficulty level:  

Worksheet Overview

Look at the following L-shapes drawn on xy-coordinate axes.

Translations L-shapes

 

Shape A has been translated, or shifted, to land on Shape B.

This has been done by moving each point 5 squares to the right and 2 squares up.

 

Look at the corner at (-1, -5).

Add 5 to the x-coordinate to get -1 + 5 = 4

Add 2 to the y-coordinate to get -5 + 2 = -3

This gives the corner of the translated point at (4, -3).

 

Notice that in translations, the shapes are not rotated or reflected. 

 

They stay the same way up, but are just in a different place on the grid.

 

 

Example

Look at the triangles on this coordinate grid.

Translations triangles

 

On which triangle does Triangle B land when it is translated:

3 squares to the right and 1 square up

 

 

Answer

Move each corner of Triangle B 3 squares to the right and 1 square up and it will land on:

Triangle C

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