Question

Prove that the two circles shown below are similar. (10 points)

Circle C is shown with a center at negative 3, 1 and a radius of 4. Circle E is shown with a center of 4, 9 and a radius of 3.

Answer 1

translate the circles until they are concentric (both centers at the same place)

then simply divide (larger radius)/(smaller radius) to demonstrate that the larger circle is simply the smaller circle scaled up by the scale factor