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 effects of the dilation on Line AB. If line A B was dilated with a scale factor of
1/3how 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 or three times shorter, depending on whether the scale factor is greater than 1 or between 0 and 1. The direction of line AB will remain the same, but its length will be multiplied by the scale factor.
If line AB was dilated with a scale factor of 1/3, line A'B' would be one-third of the original length. It would be shorter than line AB and in the opposite direction.