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Help Meeee!!! Picture of graph :http://prntscr.com/hnzcw8

The larger triangle is the image of the smaller triangle after a dilation. The center of the dilation is (−2,−2).What is the scale factor used to create the dilation?

Guest Dec 15, 2017
 #1
avatar+88899 
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We can find this thusly

 

Post Image Vertex = [Pre-Image Vertex - DilationCenter]*Scale Factor + Dilation Center

 

So we have

 

(7,2)  =   [ (-5, -2)   - (-2, -2) ] * Scale Factor  +   (-2, -2)

 

(7,2)   =  [ (-3, 0 )] * Scale Factor  +  (-2,-2)

 

(7,2)  - ( -2, -2)  =  (-3, 0) * Scale Factor

 

( 9, 0)  = (-3, 0) * Scale Factor 

 

9 / -3   =  Scale Factor

 

-3  = Scale Factor

 

 

cool cool cool

CPhill  Dec 15, 2017
edited by CPhill  Dec 15, 2017

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