Question

Circle 1 center (-7,6) and radius 2Circle 2 centar (12, 12) and radius 1What transformations can be applied to Circle 1 to prove that the circles are similar?Enter your answers in the boxesThe translation of the center (-7, 6) to the center (12.12) is given by the rule (x,y) →The dilation from Circle 1 to Circle 2 has a scale factor of

Answer 1

The translation to the center (-7,6) to the center (12,12) is given by the rule

$(x,y)\longrightarrow(x+19,y+6)$

On the other hand, the dilation from circle 1 to circle 2 has a scale factor given by the ratio of the given radii, that is,

$\begin{gathered} \text{scale factor=}\frac{new\text{ lenght}}{\text{original length}} \\ \text{scale factor=}\frac{1}{2} \end{gathered}$

Then the scale factor is 1/2.