Question

Circle A has center of (4, 6) and a radius of 5, and circle B has a center of (1, 0) and a radius of 15. What steps will help show that circle A is similar to circle B?

Dilate circle A by a scale factor of 3.
Translate circle A using the rule (x − 3, y + 6).
Rotate circle A 180° about the center.
Reflect circle A over the y-axis.

Answer 1

What do you think?

These are your two circles
https://www.desmos.com/calculator/mwyop21iwj

How would you prove that the circles are similar?

If they're similar, they're going to be the same shape and the way to prove it is by shrinking or making it larger and showing that it would be the same as the other shape

Answer 2

Because the radius of circle A is 5 and the radius of circle B is 15 so i think if you dilate circle A by a scale factor of 3 then circle A will be similar to circle B with a radius of 15

Answer 3

Once you dilate it, you'll see that it's the same shape

Similar means it's similar in terms of the shape and angles
Congruent means that it's the exact same size