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.
Accepted Solution
A:
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.