Question

Which statement proves that the two circles are similar? (1 point)

Answer 1

Answer:

The circles B and D are similar because B can be mapped onto D by a translation of 8 units to the right and 1 unit down, followed by a dilation about its center by a scale factor of 0.5.

Step-by-step explanation:

If we translate the circle about its center, Circle B's center will coincide with Circle D's Center.

Circle B radius is 4 while Circle D radius is 2 so we need to dilate Circle B radius to shrink it to 2.

When we shrink a figure, the dilation scale factor must be less than 1 but what is the scale factor.

Use the formula

y=kx where y is the new radius and x is the original radius and k is the scale factor

$2 = k(4)$

$\frac{2}{4} = k$

$k = 0.5$

THe second second statement is the answer.