Triangle ABC has vertices A (-3, 1), B (0, 3), and C (3, 0) and is dilated by a factor of 1/2 using point (-2, 1) as the point of dilation. The dilated triangle names A’ B’ C’. What are the coordinates of the vertices of the resulting triangle?

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Answer:

Dilations change a shape's size by a number (better known as a factor). You multiply the factor by the numbers for each point:

  • A dilated from (-2,1) = [A' = (-3.5,1.5)]
  • B dilated from (-2,1) = [B' = (-2,2.5)]
  • C dilated from (-2,1) = [C' = (-0.5,1)]