Question

Which transformations can be used to show that circle P is similar to circle Q?

Circle P: center (2, −3) and radius 4

Circle Q: center (2, 3) and radius 28



Select each correct answer.


Circle Q is a dilation of circle P with a scale factor of 7.

Circle Q is a translation of circle P, 6 units up.

Circle Q is a translation of circle P, 6 units left.

Circle P is a dilation of circle Q with a scale factor of 24.

Answer 1

The Selected correct answers are.

Circle Q is a dilation of circle P with a scale factor of 7.

Circle Q is a translation of circle P, 6 units up.

Answer 2

• Circle Q is a dilation of circle P with a scale factor of 7.
• Circle Q is a translation of circle P, 6 units up.

Explanation:

We are given:

Circle P: center (2, −3) and radius 4 .

and Circle Q: center (2, 3) and radius 28 .

since, as circle Q has a radius 7 times the radius of circle P.

Hence, circle Q is a dilation of Circle P with a scale factor of 7.

Also Circle Q has same x-value as that of P but different y-value.

Hence, circle Q is a translation of circle P, 6 nits up so that the y-value is:

-3+6=3.

Hence, the center of Q will be : (2,3).