Answer:
D.Dilate circle A by a scale factor of 5.
Step-by-step explanation:
We are given that
The center of circle A is (2,8) and radius of circle A is 2.
The center of circle B is (5,4) and radius of circle B is 10.
We have to find the steps will help to show that circle A is similar to circle B.
When two circles are similar it means the size of circles can be same or different.Therefore, radius of circles will be same or different.
But, the radius of circles are different.
Dilation: It is a transformation in which obtained figure is similar to the original figure.
Shape remains same but the size of figures are different.
Ratio of corresponding sides of two figures=Scale factor
When a circle is dilated then,
Ratio of radius of circle obtained after dilation to the radius of original circle= Scale factor
Scale factor=
Hence, option D is true.