Question

Will fan/medal
Prove that the two circles shown below are similar.

Answer 1

I thought all circles were similar always; what am I supposed to explain asdfghjkl;

Answer 2

Ok:

Answer 3

just compare the radius of the circles by choosing two places from each and if they are equal then they are similar

Answer 4

in the small circle, i choose the green line as the radius and that is equal to the small red line below.. Let's look at the big circle now: the radius is 5 units from the point (4,4) to (8,4) and when we apply Pythgorean's theorem, we find other radius to be 5 again

Answer 5

so 2/5 =2/5 : they are similar

Answer 6

Ohh! I see what you're doing. Okay.
And I can choose another point in the circle, and it'll be "proportional," I guess? I don't know if that's the right word.

Answer 7

yeah ur right, but it should be a radius; or any line but then they should have 2/5 ratio: if you draw a line in a small circle for example, 5/2 times of its length should be equal to that of the big one, the easiest way to do it is to choose the radius because you can draw it using the center and find the length easily

Answer 8

I understand. Thank you!