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?(
When line AB is dilated with a scale factor of 3 and a center of dilation at the origin to create line A'B', the effect is that line A'B' is three times longer and in the same direction as line AB. Line A'B' is also located three times further away from the origin compared to line AB.
If line AB was dilated with a scale factor of 13, the effect would be that line A'B' is now 13 times longer and located 13 times further away from the origin compared to line AB. The length of line A'B' would be much larger and its distance from the origin would be much further.