Question

Circle 1 has center (−4, 5) and a radius of 6 cm. Circle 2 has (2, −3) and a radius 9 cm.

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

Enter your answers in the boxes. Enter the scale factor as a fraction in simplest form.


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

Answer 1

First translate the circle from (-4,5) to (2,-3) [ a translation of (+6, -8) ] by the transformation rule
(x,y)->(x+6, y-8)
the scale factor would be the ratio of the radii of image (circle 2) divided by that of preimage (circle 1)
=9/6=3/2