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. the scale factor from circle t to circle u is .

Explanation:

Step1: Identify radii of circles t and u

Assume circle t has radius \( r_t \) (distance from R to B) and circle u has radius \( r_u \) (distance from R to B'). From the diagram, \( r_u = 3r_t \).

Step2: Calculate scale factor

Scale factor = \( \frac{r_u}{r_t} = \frac{3r_t}{r_t} = 3 \)

Answer:

3