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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

Respuesta :

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.

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