Question

Circle A: center (2, 3) and radius 5. Circle B: center (-1, 4) and radius 10. Which of the
following is the necessary transformation (translation; dilation) from B to A to prove
that the two circles are similar?

Answer 1

Answer:

see explanation

Step-by-step explanation:

The centre of circle B requires to be coincident with centre of circle A

(- 1, 4 ) → (2, 3 )

That is a translation of < 3, - 1 >

This ensures that the circles are concentric ( have the same centre )

radius of B is 10 and radius of A is 5, thus

dilatation = $\frac{5}{10}$ = $\frac{1}{2}$