@Michele_Laino
Did I get this question right?

Question

@Michele_Laino 
Did I get this question right?

anonymous · Answer

Prove that the two circles shown below are similar.

anonymous · Answer

First of all, all circles are similar. Which means even though they might be different sizes and look completely different, if its a circle, they are similar. Now, in order to prove this we have to use the circles radius's. First we will go to circle "X" and find the length of the radius (that's the space from the center to the edge of the circle), when we do so we see we have a radius of 6. Next we will find the length of the second circle "Y", which is 3. Now that we know that we will plugged the radius of both of the circles into this scale factor formula for circles:  K = r2/r1. 
Here what it looks like: 
K = 6/3 
Now that we know what the scale factor is, we can translate circle "Y" onto the center of circle "X" so that they are concentric circles and dilate it by the scale factor, we will see that the circles are congruent, which proves that the original circles were similar.

michele_laino · Answer

I think that your reasoning is right!