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?
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 and will pass through the origin. The orientation of line A'B' will be the same as line AB, but it will be located in a different position relative to the origin.
If line AB is dilated with a scale factor of 1/3, the effect would be the opposite. Line A'B' would be one-third the length of line AB and would still pass through the origin. The orientation of line A'B' would be the same as line AB, but it would be located in a different position relative to the origin.