Line AB is on the coordinate plane and does not pass through the origin to create line A’B’. Describe the effect of the dilation on line AB. In particular, make sure to describe the relative location and size of line A’B’ compared to line AB. If line AB was dilated with a scale factor or 1/3, how would your answer change?
The effect of a dilation on line AB would be to stretch or shrink it. If the dilation is positive and greater than 1, the line will stretch. If the dilation is positive and between 0 and 1, the line will shrink. The relative location of line A'B' compared to line AB would depend on the center of dilation.
If line AB was dilated with a scale factor of 1/3, the line A'B' would be smaller than line AB. It would be closer to the origin and the distance between points A and B would be stretched by a factor of 1/3.