We can prove the similarity of two circles by mapping one circle onto the other (i.e. making a circle look exactly like the other one) by a translation and a scale factor.
Let's map circle Y onto circle X for example. We need to make sure we have the same radii for both circles, so let's expand circle Y by a scale factor of 2. Then shift circle Y 6 units up and 6 units to the left to move the center point of circle Y over to that of circle X.
Now, since we could map circle Y onto circle X using transformations (scaling and translation), we know that the two circles are similar.
<span>5x-0.1=4x Subtract 5x from both sides so that the x variable is only on one side -0.1=-x Divide both sides by -1 to get rid of the negative on the side with the x variable Final Answer: 0.1=x</span>
