Question

Circle A has center of (2, 8), and a radius of 2 and circle B has a center of (5, 4), and a radius of 10. What steps will help show that circle A is similar to circle B
A. Translate circle A using the rule (x − 3, y + 4).

B. Rotate circle A 270° about the center.

C. Reflect circle A over the line x=1

D. Dilate circle A by a scale factor of 5.

Answer 1

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=$\frac{10}{2}=5$

Hence, option D is true.