Given circle a, centered at a(7, 1) with a radius of 8 cm and circle b, centered at b(-1, 3) with a diameter of 16cm, determine which of the following transformations would establish that they are similar circles.

Hence, we need to translate circle A 8 units left and 2 units up.

Step-by-step explanation:

" Two circles are said to be similar if by the translation and by the scale factor one circle can be mapped onto another "

Now we are given circle A centered at A(7,1) with a radius of 8 cm.

Circle B, centered at B(-1, 3) with a diameter of 16 cm i.e.the radius of the circle is 8 cm.

As both the circles are of equal radius hence we just need to perform the translation to map one circle onto another.

So we have to translated circle A 8 units left and 2 units up to get the circle B.