Question

circle n is a dilation of circle m with point r as the center of dilation. circle u is a dilation of circle t with point r as the center of dilation. find the scale factors. what is the scale factor that takes circle t to circle u? solve on paper if you need to. then, enter your answer on zearn. the scale factor from circle t to circle u is \boxed{}.

Explanation:

Step1: Identify radii lengths

From the grid, the radius of circle \(t\) (distance from \(R\) to \(A\)) is 2 units. The radius of circle \(u\) (distance from \(R\) to \(A'\)) is 6 units.

Step2: Calculate scale factor

Scale factor = \(\frac{\text{Radius of image (circle }u\text{)}}{\text{Radius of pre-image (circle }t\text{)}}\)
\(\text{Scale factor} = \frac{6}{2}\)

Step3: Simplify the fraction

\(\frac{6}{2} = 3\)

Answer:

3