MATH SOLVE

2 months ago

Q:
# According to these three facts, which statements are true?Circle W has center (β3, 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 (β5, 0).Circle V and circle W are similar.Circle V and circle W have the same center.

Accepted Solution

A:

Answer: The radius of circle V is 16. Circle V and circle W are similar.

First, V is a dilation of circle W with a scale factor of 2. That means the radius of W gets multiplied by 2 to transform into V. Therefore, it changes from 8 to 16.

Second, all circles are similar because they are all the same shape, just different sizes.

First, V is a dilation of circle W with a scale factor of 2. That means the radius of W gets multiplied by 2 to transform into V. Therefore, it changes from 8 to 16.

Second, all circles are similar because they are all the same shape, just different sizes.