Question

What is the image of 2,10 after a dilation by a scale factor of 1/2 centered at the origin

Answer 1

A dilation is given by:

`(x,y)\rightarrow(kx.ky)`

where k is the scale factor.

In this case we have:

`(2,10)\rightarrow((1)/(2)\cdot2,(1)/(2)\cdot10)=(1,5)`

Therefore the image is the point:

`(1,5)`