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What is the image of (8,6)(8,6) after a dilation by a scale factor of \frac{1}{2}
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centered at the origin?


Sagot :

The image of the point (8, 6) dilated by a scale factor 1/2 is (4, 3)

The given point is (8, 6)

The scale factor of dilation = 1/2

To dilate a given point (x, y) by a scale factor m, multiply each of the coordinates (x, y) by m

The image = (mx, my)

For the point (8, 6) dilated by 1/2, the image will be calculated as shown below:

[tex](\frac{1}{2}\times 8, \frac{1}{2} \times 6)\\= (4, 3)[/tex]

The image of the point (8, 6) dilated by a scale factor 1/2 is (4, 3)

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