# Translate

Translate - Slide it elsewhere

To remember the meaning of translate:

And to describe a translation you use a vector like:

Vector `((4),(3))`

Can you** translate** a single word that heat con**vector** (vector) says?

When we translate an object in maths every vertex (corner) must be moved in the same way.

This triangle has been translated (slid) 5 along the (`x`axis) and -4 down (`y`axis).

**NOTE:**

The object is exactly the same size and shape.

## Labelling the vertices (corners)

The original object in blue has been translated to the right and has been marked yellow. You must note that the new image has been labelled `A^1 B^1 \and \ C^1` which is the standard convention.

## Translation Examples

**Example 1**

Translate triangle `A` by the vector `((1),(5))`

Therefore

**Example 2**

Translate the following shape by the vector `((-1),(-5))`

**Example 3**

Translate the following shape by the vector `((-5),(0))`

Each vertex slides 5 units to the left.

**Example 4**

What is the displacement vector for the following diagram?

The line `A\ \ B` has been slid

`x` axis +4

`y` axis -1

Therefore the displacement vector `=((4),(-1))`

**Example 5**

Describe the single transformation that maps `A\ to\ B`.

You must first describe what this is, and it is a TRANSLATION.

You must now find the displacement vector.

The shape has slid,

`x` axis +4

`y` axis +2

Therefore the displacement vector `=((4),(2))`

**Answer:**

This is a translation with a displacement vector of `((4),(2))`