Question

Question time.

Answer 1

find the center of dilation, and move it to the origin, then you can see the effect the dilation has on the points.

spose the center of dilation is at (p,q)

moving it to the origin, and the other points with it, gives us:

A=(9-p, 4-q), A' = (6-p, 3-q)

the dilation factor is simply the scalar k such that: k(9-p) = 6-p

k = (6-p)/(9-p) ... if the center of dilation is already the origin, then p=q=0.

Answer 2

finding the center of dilation is just crossing 2 lines formed from the appropriate points.