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. (you can choose more than one). a. circle v and circle w are similar. b. circle v and circle w have the same center. c. the radius of circle v is 16. d. the center of circle v is (−5, 0).

We have that

1)Circle W has center (−3, 0) and radius 8
the equation of a circle W is
(x+3)²+(y)²=8²

2)Circle V is a translation of circle W, 2 units down.
the center of circle V> (-3,0-2)> (-3,-2)

3)Circle V is a dilation of circle W with a scale factor of 2.
then the radius circle V is 8*2> 16 units
the equation of a circle V is
(x+3)²+(y+2)²=16²

therefore

 case A. Circle V and circle W are similar.> is correct
because  I can transform circle V to circle W using only translations, rotations and scaling  (In the case of circles, no rotations are necessary).

case B. Circle V and circle W have the same center.> is not correct

case C. The radius of circle V is 16.> is correct

case D. The center of circle V is (−5, 0).> is not correct

the answer is
 case A. Circle V and circle W are similar.> is correct
 case C. The radius of circle V is 16.> is correct

The answer is a hope i