image Circles C and C′ are similar. State the translation rule and the scale factor of dilation.

Answer 1

Generally,

Circle C algebraically is

(x-h)^2 + (y-k)^2 = r^2

with center = (h,k), radius = r

similar Circle C' is algebraically:

(x-m)^2 + (y-n)^2 = s^2

with center = (m,n), radius = s

translate C to C'

by shifting C horizontally, m-h units

and translate by shifting C, vertically, n-k units

and dilate C by r/s