Question

Circle X with a radius of 6 units and circle Y with a radius of 2 units are shown.  Which steps would prove the circles similar? Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 4. Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 4. Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.  Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3.

Answer 1

Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

Explanation:

Answer 2

the answer:
to arrive at the similarity, the transformation must be as follow:
the small circle will be dilated for a specific scale factor,
the radius of X cirle is R= 6, and the radius of the small circle is r = 2
besides, two circles are similar if and only if R = r, (their radius ar equal)

therefore r = 2*k = 6, and from where k = 6 / 2 = 3 units
the answer is

Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.