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 are similar.

Circle V and circle W have the same center.

Question

Evelyn Cervantes

Mathematics

25 July, 08:44

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 are similar.

Circle V and circle W have the same center.

+2

Answers (1)

Know the Answer?

Aedan Soto · Answer 1

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.