Question

A figure is translated using the vector (-2,4)  What translation vector would move the image back to its original position?

Answer 1

A translation formation is one of the simplest transformation since all it does is just to move the position of the figure without changing the size, the angles, or any other characteristics other than the position along.

 

So a translation by a vector (-2, 4) means that all points of the given figure is moved by:

(x – 2, y + 4)

Meaning that the whole figure is moved to the left by 2 units and moved to top by 4 units

 

So to revert this back into the original figure, we simply have to move again by:

(x + 2, y – 4)

Therefore move the whole figure to the right by 2 units and to the bottom by 4 units. So the translation to use is a vector (2, -4)

 

Answer:

(2, -4)