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 convector (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 (xaxis) and -4 down (yaxis).

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))

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