What are the coordinates for the image of the figure E(0,4), F(2,2), G(0,0), D(-4,3) if it has been dilated with a scale factor of 1/4

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Answers:

E ' = (0, 1)

F ' = (0.5, 0.5)

G ' = (0, 0)

D ' = (-1, 0.75)

Notes: 0.5 = 1/2 and 0.75 = 3/4

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Explanation:

Assuming the origin is the center of dilation, then we multiply each coordinate by the scale factor of 1/4 = 0.25

For instance, the point E(0,4) moves to E ' (0, 1) since

  • x coordinate:  0*0.25 = 0
  • y coordinate: 4*0.25 = 1

Do the same for the other points.