The circle the has a center P(2,0) is bigger than compared to the circle with the center Q(0,4) because the former has a radius 20, while the latter has a radius of only 2. You can view the graph here:

https://www. desmos. com/calculator/od1pwqylou

(a) Describe the rule for translating center Q onto center P. By moving the center of circle Q overlapping the center of circle P, then we need to move it two units left and 4 units up.

(b) Determine the scale factor for dilating circle Q so that it has the same radius as circle P. In getting the scale factor, we need to compare the radius

= 2/10

= 1/10

So, the scale factor is 1/10

(c) Are circles P and Q similar? Explain your answer.

Yes, by applying a dilation value, circle Q can be transformed to circle P, vice versa.