Question

A dilation maps (4, 6) to (2, 3). What is the scale factor of the dilation? If (-6, 3) is under the same dilation, what would its new coordinate be? Complete your work in the space provided or upload a file that can display math symbols if your work requires it.

Answer 1

The scale factor of dilation is 1/2

New coordinates are: (-3, 3/2)

Explanation:

a) A dilation maps (4,6) to (2,3)

we see that (4/2,6/2) = (2,3)

So, the scale factor of dilation is 1/2

b) if (-6,3) is under same dilation, their new coordinates will be?

We have to multiply (-6,3) by scale factor of 1/2

(-6*1/2,3*1/2) = (-3,3/2)

So, new coordinates are: (-3,3/2)