Question

Circle A has center of (6, 7), and a radius of 4 and circle B has a center of (2, 4), and a radius of 16. What steps will help show that circle A is
similar to circle B?
Translate circle A using the rule (x + 4, y + 3).

Answer 1

Answer:

Dilate circle A by a scale factor of 4

Step-by-step explanation:

We are given that a circle A with center (6,7) and radius of 4.

Circle B with center (2,4) and radius of 16.

We have to find the steps that will help to show that circle A is similar to circle B.

We know that

All circle are similar in shape.

When two circles are similar then the ratio of radius  is equal to scale factor .

Circle A is dilated  about its center and form  circle B .

Dilation is  that type of transformation in which shape remains same but size of figures change.

Scale factor=$\frac{Radius\;of\\;circle\;B}{Radius\;of\;circle A}$

Scale factor=$\frac{16}{4}=4$

Hence, the circle A is dilated about its center by a scale factor of 4.

Answer 2

Answer:

Circle A will be similar to circle B when circle A is dilated by a scale factor of 4.