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 1/3 , how would your answer change?(4 points)
When line AB is dilated with a scale factor of 3 and a center of dilation at the origin, line A'B' will be three times longer than line AB. The relative location of line A'B' will be the same as line AB, as the center of dilation is at the origin. However, line A'B' will have a different slope compared to line AB, as the dilation will cause the angle between line A'B' and the x-axis to change.
If line AB was dilated with a scale factor of 1/3, line A'B' would be one-third the length of line AB. The relative location of line A'B' would still be the same as line AB, but again, the slope would change due to the dilation.