Respuesta :
The rule which describes the dilation with a scale factor of 1/3 and the center of dilation at the origin is (x,y)-->(x/3,y/3).
What is the dilation of the figure?
Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.
Scale factor is the factor which is used to enlarge or smaller the original figure. Scale factor is the ratio of representation measurement of the figure to the original figures.
A dilation of the figure is done with a scale factor of 1/3. The figure or point become smaller with this scale factor.
The center of this dilation is at the origin. Hence, the change is done with the origin point. The rule for this dilation is,
[tex](x,y)-- > (\dfrac{x}{3},\dfrac{y}{3})[/tex]
Hence, the rule which describes the dilation with a scale factor of 1/3 and the center of dilation at the origin is (x,y)-->(x/3,y/3).
Learn more about the dilation of the figure here;
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