Answer & step-by-step explanation:
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 circle 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.
Answer:
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
Explanation:
To prove circles are similar:
Translate the circles so that they share a common center point. (The circles are now concentric as they have the same center).
Dilate the smaller circle to increase its size to coincide with the larger circle. The amount that the circle needs to be dilated by is the scale factor.
As the radius of circle Y is 2 and the radius of circle X is 6, determine the scale factor by dividing the larger radius by the smaller radius:
scale factor = 6 ÷ 2 = 3
Solution:
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
By the way, you forgot to give us the image: