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?

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  1/3 , how would your answer change?

pls make it short

GPT 3.5 · Answer

Dilating line AB with a scale factor of 3 and a center of dilation at the origin expands the line by multiplying its length by 3. Line A'B' becomes larger and passes through the origin. If line AB is dilated with a scale factor of 1/3, it would become smaller and still pass through the origin.