Prove that the two circles shown below are similar

Question

anonymous · Answer

http://orange.flvs.net/webdav/assessment_images/educator_geometry/v15/module09/09_08_9.jpg

563blackghost · Answer

not able to see the problem...

anonymous · Answer

err lemme try again

anonymous · Answer

attachment

anonymous · Answer

All circles are the same

anonymous · Answer

I need to prove that.

anonymous · Answer

Ok so basically what I need to do is find the radius of the circles and square it but that's all I have so far I think

563blackghost · Answer

Well circle B lies on (-1,-9) and (-1,-1).....circle D lies on (7,2) and (7,6)....

now to see if they are the same you must subtract the y1 by y2 on both circles....

misty1212 · Answer

aren't all circles similar? i keep seeing this question but it never makes any sense to me
they are similar because they are circles

anonymous · Answer

I proved it a while back that all circles are similar but I think another easy way mentioned by a friend of mine was showing that the ratio to the circumference to the diameter is pi, therefore making the circles similar :P

anonymous · Answer

coolio I figured it out. I just have to dilate the circles by 2. thanks y'all.

anonymous · Answer

Yup! That's good, dilation and transformations are the common ways to showing it :)!

anonymous · Answer

Yeah I wasn't sure how to go about it lol

anonymous · Answer

:)