MrHeck
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Circe A has center of (6, 7), and a radius of 4 and circle B has a center of (2, 4), and a radius of 16. What steps will help show that circle A is similar to circle B?

A. Translate circle A using the rule (x + 4, y + 3).
B. Rotate circle A 45° about the center.
C. Dilate circle A by a scale factor of 4.
D. Reflect circle A about the origin.​

Respuesta :

Answer:

b

Step-by-step explanation:

tell me if its correct

Answer:

It's C -- Dilate circle A by a scale factor of 4.

Step-by-step explanation:

Circles can be proved similar through dialation, often with the addition of transformations as well.  However, translations alone will not prove circle similarity unless the two circles have the same diameter, which these do not.  Rotation or reflection do not play roles in proving circle similarity.  Thus, due to ruling out the other options, we can see that C -- Dilate circle A by a scale factor of 4, is the correct answer.  This is confirmed since circle A has a radius of 4 and circle B has a radius of 16, and 4 times 4 equals 16.