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anonymous
 one year ago
I need help with this question...
anonymous
 one year ago
I need help with this question...

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Prove that the two circles shown below are similar.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i keep seeing these and am totally confused aren't all circles similar?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440510136349:dw notice that E was moved to C so now we have a dilation of \[\huge \frac{ r_1 }{ r_2 }\] which gives the scale factor.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes, you need to use a formula to move one over another and dilate it, but idk the formula

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sorry about using the same color, but essentially just using a transformation this actually proves all circles are similar to each other.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so, what formula would i use to translate it?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I mean we could say \[\pi = \frac{ C }{ 2r }\] making all circles the same

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and would the scale factor be 3/4?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So the trick here is knowing that translations and dilations are the same hence all circles are the same

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i found a new formula for translations

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[(x  h){^2} + (y  k){^2} = r{^2}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's the equation of a circle

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You may use it though

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so how would i put this into words? each step i mean

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Perhaps try this: given circle E : (x4)^2+(y9)^2=3^2 h=7, k=8, scale factor = 4/3 so (x4+7)^2+(y9+8)=(3*(4/3))^2 gives (x+3)^2+(y1)^2=4^2 which is the circle C

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[(x,y) \implies (xh,yk)\] and end up doing a dilation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok thanks you guys, i have more questions i'll post in a couple of minutes, i'd appreciate it if you could help me with those as well :)
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