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What is the image of 2,10 after a dilation by a scale factor of 1/2 centered at the origin

What is the image of 2,10 after a dilation by a scale factor of 1/2 centered at the-example-1

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A dilation is given by:


(x,y)\rightarrow(kx.ky)

where k is the scale factor.

In this case we have:


(2,10)\rightarrow((1)/(2)\cdot2,(1)/(2)\cdot10)=(1,5)

Therefore the image is the point:


(1,5)

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