Question

circle I was dilated with the original at the center of dilation to grade circle to II

Answer 1

A scale factor is a ratio between corresponding measurements of an object and a representation of that object.

In this case

Circle 1 is the object and circle 2 the representation

Circle 1 has a radius of 3

circle 11 has a radius of 8

The scale factor which is a ratio of circle 11 to circle 1

will be given by

$\frac{circle\text{ 11}}{circle\text{ 1}}=\frac{8}{3}$

The coordinate of the dilated object will be

$(x,y)\Rightarrow\text{ (}\frac{8}{3}x,\frac{8}{3}y\text{)}$

Op