A scale factor is a number that multiplies (or "scales") the value of a quantity. The dilation of the points MN to M'N' is [tex](-\dfrac{2}{5}, -\dfrac{4}{5})[/tex] and [tex](\dfrac{1}{5}, 1)[/tex] respectively.
What is the scale factor?
A scale factor is a number that multiplies (or "scales") the value of a quantity. The "C" in y = Cx, for example, is the scaling factor for x. The factor would be 5 if the equation was y = 5x.
As it is given that the dilation of points is with a scale factor of 1/5 that is centred at the origin, therefore, the dilation of the points can be written as,
[tex]M' = [(-2 \times \dfrac{1}{5}), (-4 \times \dfrac{1}{5})] = (-\dfrac{2}{5}, -\dfrac{4}{5})[/tex]
[tex]N' = [(1 \times \dfrac{1}{5}), (5 \times \dfrac{1}{5})] = (\dfrac{1}{5}, 1)[/tex]
Hence, the dilation of the points MN to M'N' is [tex](-\dfrac{2}{5}, -\dfrac{4}{5})[/tex] and [tex](\dfrac{1}{5}, 1)[/tex] respectively.
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