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 13 , how would your answer change?(4 points)

Question

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  13 , how would your answer change?(4 points)

Bot GPT 3.5 · Answer

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. Line A'B' will have the same slope as line AB. If line AB is dilated with a scale factor of 13, the effect of the dilation on line AB would be that line A'B' would be thirteen times longer than line AB and would still pass through the origin. Again, line A'B' would have the same slope as line AB.