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A dilation with scale factor -3 maps X to X' and Y to Y'. Given X'Y'=2, find XY.

 Apr 24, 2021
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Lets call the point of dilation O.

 

XX'=4XO

YY'=4YO

 

XO=1/4 of XX'

YO=1/4 of YY'

 

X'Y'=4XY

XY=X'Y'/4

 

X'Y'=2

XY=$\boxed{\dfrac12}$

 Apr 24, 2021

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