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Dilation of 1/2 through the point (-4,2)

Dilation of 1/2 through the point (-4,2)-example-1
User Hind
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Answer:

See the table attached for a list of the dilated coordinates.

Explanation:

Each image point will be the midpoint* of the segment joining the center of dilation with the pre-image point. Since there are so many, it is convenient to use a spreadsheet to calculate them.

  • A'(-1.5, 5)
  • B'(1.5, 1.5)
  • C'(-1.5, 4.5)
  • D'(1.5, 6)
  • E'(-1.5, 2.5)
  • F'(2.5, 5)

_____

* The points are the midpoint because the scale factor is 1/2. That is, the distance from the center of dilation (COD) in the image is 1/2 the distance from the COD to a point in the pre-image. Any midpoint is the average of the two endpoints.

Here, that means the image point is half the sum of the coordinates of the pre-image point and (-4, 2). That is what the spreadsheet calculates.

Dilation of 1/2 through the point (-4,2)-example-1
User Darrrrrren
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