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When line AB is dilated with a scale factor of three and a center of dilation at the origin, line A’B’ is created. The effect of this dilation is that line A’B’ is three times longer than line AB and it is located in the same direction as line AB. However, line A’B’ is now positioned relative to the origin, while line AB was not.
If line AB was dilated with a scale factor of 1/3, the relative location and size of line A’B’ would be different. In this case, line A’B’ would be one-third of the length of line AB and still positioned relative to the origin. It would also be in the same direction as line AB, just as in the previous dilation.