Question

PLEASE HELP! URGET!

Circle 1 is centered at (−4, 5)
and has a radius of 2 centimeters. Circle 2 is centered at (2, 1) and has a radius of 6 centimeters.
What transformations can be applied to Circle 1 to prove that the circles are similar?
Enter your answers in the boxes.

The circles are similar because you can translate Circle 1 using the transformation rule (_, _) and then dilate it using a scale factor of_ .

Answer 1

we know that
equation circle 1
(x+4)²+(y-5)²=2²

equation circle 2
(x-2)²+(y-1)²=6²

step 1
translate the center of Circle 1 using the transformation rule
(x,y)----------> (x+6,y-4)
so
the center circle 1
(-4,5)------> (-4+6,5-4)-----> (2,1)

the answer Part a) is
(x,y)----------> (x+6,y-4)

step 2
dilate the radius of circle 1 using a scale factor of
scale factor=6/2----> 3
so
radius circle 1*scale factor-----> 2*3-----> 6 cm

the answer Part b) is
scale factor is 3