Question

Please Help!!! Circle X has a center of (-2, 8) and a radius of 6. Circle Y has a center of (4, 2) and a radius of 3. Prove that the two circles are similar.

Answer 1

You can translate the first circle whose center is (-2,8) by 6 units to the right and 6 units down so that its center coincides with the center of the second circle (4,2). Then you can compress the circle by a factor of 2 so that its radius goes from 6 to 3. All points on the first circle will now map into all points of the second circle making them similar.

Answer 2

Thank you @ranga !

Answer 3

You are welcome.