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 have the same direction as line AB and will be three times as long. However, line A'B' will be located at the origin since the center of dilation is at the origin.
If line AB was dilated with a scale factor of 1/3, line A'B' would be one-third the length of line AB and would also be located at the origin. However, the direction of line A'B' would still be the same as line AB.