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.

a. dilate circle a about a by a scale factor of 2 followed by a translation of 8 left and 2 up.

b. translate circle a 8 left and 2 up.

c. dilate circle b about b by a scale factor of 1/2 followed by a translation of 8 left and 2 up.

d. dilate circle b about b by a scale factor of 1/2 followed by a translation of 8 right and 2 down.