Question

PLEASE HELP !!!!!!!!!!!!!!!!!

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.

Answer 1

(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