Translation is a type of transformation that can be summed up by the word Slide.

When you translate an object you slide it around the page, it doesn't turn, it doesn't flip, it looks exactly the same.

**How do you describe a ****translation.**

When we are translating an object, we need to know howf ar we move it. We do this by saying how far right or left it moves and how far up or down it moves.

We describe the movement by using a vector.

**What is a vector?**

A vector looks like this...

a |

b |

Where a is the horizontal (left or right) movement and b is the vertical movement (up or down)

If a is positive, the movement is to the right and if it is negative it is to the left

If b is positive, the movement is up and if it is negative it is down.

4 | 4 right |

5 | 5 up |

3 | 3 right |

-1 | 1 down |

-2 | 2 left |

0 | no vertical movement |

**How do we move the shape?**

The key thing about translations is that every point moves the same distance so all we have to do is to translate each corner of the shape by the same amount and then join up the points.

**Example:**

Translate shape a by the vector... | 1 |

-4 |

This vector means we have to move the shape 1 to the right and 4 down.