concentric circles with center g have radii 5 and 11 as shown. which would prove that the circles are…

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 the same center.

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 the same center.

Answer

Answer:

  1. $\frac{11}{5}$
  2. Translate

Explanation:

Step1: Find dilation factor

The ratio of the radii of the two circles gives the dilation factor. For a circle with radius $r_1 = 5$ and another with radius $r_2=11$, the dilation factor $k=\frac{r_2}{r_1}=\frac{11}{5}$.

Step2: Determine additional step

If two non - concentric circles are to be shown similar, we can translate (move) one of the circles so that they have the same center. Then we can apply a dilation to map one circle onto the other.