Answer:
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3 ⇒ 3rd answer
Explanation:
* Lets explain how to solve the problem
- To prove that all circles are similar, a translation and a scale factor
from a dilation will be found to map one circle onto another
- So we can translate the circles to share the same center and dilated
one of them by the scale factor of the dilation and the center of
dilation is the common center of the circles
* Lets solve the problem
∵ Circle X has a radius 6 units
∵ Circle Y has a radius 2 units
- At first we translate the circles to share the same center
∴ Use translation to put the centers of the circles at the same point
- Find the scale factor of the dilation from the radii of the two circles
∵ The radius of circle X is 6 units
∵ The radius of circle Y is 2 units
∴ The scale factor = 6/2 = 3
∴ Dilate circle y by scale factor 3
* The steps would prove the circles are similar are;
Translate the circles so they share a common center point, and
dilate circle Y by a scale factor of 3.