Question

According to these three facts, which statements are true?

Circle W has center (−3, 0) and radius 8.
Circle V is a translation of circle W, 2 units down.
Circle V is a dilation of circle W with a scale factor of 2.


Select each correct answer.

The radius of circle V is 16.

The center of circle V is (−5, 0).

Circle V and circle W have the same center.

Circle V and circle W are similar.

Answer 1

a.

Circle W centre is (-3,0) - (0,-2)* = (-3,-2)

*note that the centre of the circle W is going down by 2 units this only affects the y axis hence the substraction

A dilation of a factor of 2 does not change the centre of the circle rather the radius ( the size of the circle decreases and hence the radius)

So now the radius becomes 8 UNITS/2 = 4UNITS

From the statements given,neither is correct