Transformation Post 5

Translation = Shift About the Page

The third type of transformation (remember to pass NCEA you need to successfully use three different transformations) is called translation. 

A translation is when the object (ABC) is moved around the paper, it is kept the same.  ie not rotated, flipped, shrunk or enlarged. 

Here is a picture of what I mean. 

Can you see that the rectangle is really not changed, just shifted.

You can see that the rectangles are clearly labelled as object ABCD and image A'B'C'D'

The trick here is to be able to see how it's moved - in this case up and to the right.  We have to use the right mathematical code for this.  This is the bit year 11's can get stuck on.  We are going to use a vector.  think Despicable Me Villain - he picks his name from maths... listen. 

Basically the bit that you need to know is how to show a translation.  For this you need to numbers that represent the direction (left/right) and the magnitude (up down).  In the above picture of the rectangles.  I can see that the point A going to A' has gone up 4 and to the right 9.  These are the numbers you need. 

Here is a clear YouTube to explain this...