# Circle 1 is centered at

(−4, −2)

(−4, −2)
and has a radius of 3 centimeters. Circle 2 is

Question

# Circle 1 is centered at (−4, −2)(−4, −2) and has a radius of 3 centimeters. Circle 2 is

centered at (5, 3)

(5, 3) and has a radius of 6 centimeters.

What transformations can be applied to Circle 1 to prove that the circles are similar?

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

OMove the centre of the smaller circle ,
into the center of circle (2.
Translate Circle C, , by a
; 6 – 2
vector AB, onto the
B ( 5 , 3 )
Circle C2.
A (- 4 , – 2 )
C 2
A dilation is needed…
Math