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_ .

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

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