Respuesta :

Answer:

[tex]I(-2,0) \to\\ I \ ' \ (-0.5,0)\\\\J(3,2) \to\\ J \ ' \ (0.75,0.5)\\\\K(1,-1) \to\\ K \ ' \ (0.25,-0.25)\\\\[/tex]

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Explanation:

For each point, multiply each x,y coordinate by 0.25 (the scale factor) to dilate the preimage to the image. This will shrink the image because the positive scale factor is less than 1.

So for instance, point J(3,2) will have this scratch work

  • 3*(0.25) = 0.75
  • 2*(0.25) = 0.5

meaning J(3,2) moves to J ' (0.75, 0.5)

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Side notes:

  • 0.25 = 1/4
  • 0.5 = 2/4 = 1/2
  • 0.75 = 3/4
  • this trick only works if the center of dilation is the origin