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

User SuitUp
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1 Answer

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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.

User Dimitar Genov
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