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 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 of 3, how would your answer change?
(4 points)
The dilation with a scale factor of 3 and a center at the origin would stretch or compress line AB by a factor of 3 in all directions. The relative location of line A'B' would be the same as line AB, as the center of dilation is at the origin. However, line A'B' would be three times longer or shorter than line AB, depending on whether the scale factor is greater than or less than 1.
If line AB was dilated with a scale factor of 3, the effect would be the same. Line A'B' would still be three times longer or shorter than line AB, but the sizes of the lines would be different.