Prove that the two circles below are similar. Circle A is shown with a center at 3, 4 and a radius of 5. Circle C is shown with a center of 0, negative 1 and a radius of 2.

Answer 1

all circles are similar

you can move the small circle 4 units to the right and then up 4 units up and they will become concentric

now dilate the small circle by a scale factor of 5 to get the larger circle