Question

Circle C has a center of (-3, 1) and a radius of 4. Circle E has a center of (4, 9) and a radius of 3. Prove that the two circles are similar.

Answer 1

@andrearchat

Answer 2

@teagirl7630

Answer 3

All circles are by definition similar because they all have the same shape but not the same size.

Answer 4

how do i prove they are similar though?

Answer 5

Prove that all the radii have the same ratios.

Answer 6

how do i do that?

Answer 7

@Mertsj

Answer 8

What is the radius of the first circle?

Answer 9

4

Answer 10

What is the radius of the second circle?

Answer 11

and the second one is 3

Answer 12

What is the ratio?

Answer 13

4:3?

Answer 14

Now you can say that all radii of a circle are equal so all radii of circle C = 4 and all radii of circle E = 3 so the ratio of all radii of Circle C to all radii of Circle E= 4:3 so the circles are similar and by extension all circles are similar.