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 like 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 to create line A'B', the effect is that line A'B' is three times as long as line AB. This means that line A'B' is stretched or magnified in length compared to line AB. The relative location of line A'B' remains the same as line AB as the origin is the center of dilation and does not change its position.
If line AB is dilated with a scale factor of 1/3, the opposite effect occurs. Line A'B' would be one-third of the length of line AB. In other words, line A'B' is compressed or shrunk in length compared to line AB. Again, the relative location of line A'B' remains the same as line AB as the origin is the center of dilation and does not change its position.