Dilation of 1/2 through the point (-4,2)
1 answer:
Answer:
See the table attached for a list of the dilated coordinates.
Step-by-step 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)
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* 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.
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