Explain how to use the figure above and a sequence of similarity transformations to prove that all circles are similar.




What I know:

I know that all circles are similar and that Pi * radius^2 gives me the area of the circle.


Sorry i'm really confused and don't really know how to prove what they are asking.


Thank You So Much!!!!

KennedyPape  Mar 7, 2018

1+0 Answers


shapes are similar if they have the same angle mesurments, 

similarity transformation says if you rotate a shape and dialate(change the size),

and it holds the same angles, then they are similar.

Obviously all circles are 360 degrees,

rotating a circle changes nothing, so all circles are similar.


s is some unknown amount bigger than r

which is the dialation. 


So what they want, i assume, is that after a rotation and dilation, the angles of circle a and circle b,

remain the same and r and s are proportional to each other, as will all radius be,

so all circles are similar. 

Guest Mar 8, 2018

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