Line AB is on the coordinate plane and does not pass through the origin line AB is dilated with a scale factor of 3 and a center of dilation at the origin to create line AB describe the effect of the dilation on line AB in particular make sure to describe the relative location and size of line AB compared to line AB if line AB was dilated with a scale factor of 1/3 how would your answer change
The dilation of line AB with a scale factor of 3 and a center of dilation at the origin would result in a line AB that is three times longer than the original line AB. The relative location of line AB remains unchanged since the center of dilation is at the origin. However, line AB would now extend three times further in each direction.
If line AB was dilated with a scale factor of 1/3, the opposite effect would occur. The resulting line AB would be one-third the length of the original line AB. The relative location of line AB would still remain unchanged as the center of dilation is at the origin. However, line AB would now be one-third of its original length and would not extend as far in each direction.