Circle p has center p (2,0) and a radius 20 circle q has center q (0,4) and a radius of 2

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.