This display is based on a typical examination question. You can change some of the details in the question and then see the answer, step by step.

## Summary/Background

A translation is simply a movement from one position to another. The shape is not rotated or reflected or enlarged. It stays exactly the same in shape. In fact a shape and any translation of it are said to be

**congruent**.## Software/Applets used on this page

## Glossary

### congruent

This relates to geometric figures that have the same size and shape. For example, two triangles are congruent if their sides are of the same length and their internal angles are of the same measure.

### translation

A transformation of a line or shape consisting of a simple movement without change of orientation.

### union

The union of two sets A and B is the set containing all the elements of A and B.

## This question appears in the following syllabi:

Syllabus | Module | Section | Topic | Exam Year |
---|---|---|---|---|

AQA GCSE (9-1) Foundation (UK) | G: Properties and Constructions | G7: Geometric Transformations | Translations | - |

CIE IGCSE (9-1) Maths (0626 UK) | 7 Matrices and Transformations | B7.2 Transformations with Vectors | Translations | - |

Edexcel GCSE (9-1) Foundation (UK) | G: Properties and Constructions | G7: Geometric Transformations | Translations | - |

GCSE Foundation (UK) | Geometry | Transformations | Translation | - |

OCR GCSE (9-1) Foundation (UK) | 9: Congruence and Similarity | 9.01c: Translation | Translations | - |

Universal (all site questions) | T | Transformations | Translation | - |