The solution would be like this for this specific problem:
Given:
Circle P: center P(2, 0); radius 20. Circle Q: center Q(0, 4) and radius 2
(a) Describe the rule for translating center Q onto center P.
Answer:
center P(2,
0)
center Q(0, 4)
You would require adding 2 units in x axis, and subtract 4 units on y axis
(b) Determine the scale factor for dilating circle Q so that it has the same radius as circle P.
Answer: P radius 20, Q radius 2, radius * 10 = radiusP, so the scale factor is 10.
(c) Are circles P and Q similar? Explain your answer.
Answer: They are the same since there exists a similarity transformation (translation, dilation) among them.