2. circle p has center p(2, 0) and radius 20. circle q has center q(0, 4) and radius 2.
(a) describe the rule for translating center q onto center p.
(b) determine the scale factor for dilating circle q so that it has the same radius as circle p.
(c) are circles p and q similar? explain your answer.

(a) Describe the rule for translating center Q onto center P.
center P(2, 0)
center Q(0, 4)
you would need to add 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.
P radius 20, Q radius 2, radiusQ*10 = radiusP, so the scale factor is 10

(c) Are circles P and Q similar? Explain your answer.
they are similar because a similarity transformation (translation, dilation) exists between them