Translate

Translate - Slide it elsewhere

To remember the meaning of translate:

Translate is to slide

And to describe a translation you use a vector like:

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

To help you remember translate

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

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

To translate an object you have to move the corners

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 standard convention to translating an object is to mark a 1 next to the corner to show it has been translated

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))`

Translate this example by using the vector provided

Vector example 1

Therefore

The translation of the shape using a vector on a graph

Example 2

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

Translate this example by using the vector provided

Vector example 2

The translation of the shape using a vector on a graph

Example 3

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

Translate this example by using the vector provided

Vector example 3

The translation of the shape using a vector on a graph

Each vertex slides 5 units to the left.

Example 4

What is the displacement vector for the following diagram?

Find the displacement vector of this diagram

Answer

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`.

Describe and show the displacement value of these 2 shapes

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

You must now find the displacement vector.

Answer of single displacement

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))`