Question

concentric circles with center g have radii 5 and 11 as shown. which would prove that the circles are similar? dilate the smaller circle by a factor of. if the circles were not concentric, what additional step would be needed to prove they are similar? one of the circles so that the circles have center. dilate reflect rotate translate

Explanation:

Step1: Find dilation factor

To make the smaller circle (radius $r_1 = 5$) congruent to the larger circle (radius $r_2=11$), we use the ratio of the radii of the two circles. The dilation factor $k$ is given by $\frac{r_2}{r_1}$.
$k=\frac{11}{5} = 2.2$

Step2: Determine transformation for non - concentric circles

If the circles are not concentric, we first need to make their centers coincide. The transformation that moves a figure from one position to another without changing its shape, size, or orientation is a translation.

Answer:

Dilate the smaller circle by a factor of $2.2$.
Translate one of the circles so that the circles have the same center.