Circle a is defined as (x+5)^2 + (y+6)^2 + 16, and circle b is defined as (x+3)^2+(y+2)^2 =9. Which transformation of circle a shows that circle b is similar?

We should use the following transformation: (Translation of circle A to the center of the circle B)

Step-by-step explanation:

We should apply a translation prior to determine if both circles are similar. If we translate the circle A to the center of the circle B. The translation needed is the vectorial distance between both centers:

(1)

Where:

- Translation vector.

- Location of the center of the circle A.

- Location of the center of the circle B.

If we know that and , then the translation vector is:

We should use the following transformation: (Translation of circle A to the center of the circle B)

good luck on your studies! : )

david edward.