line AB is on the coordinate plane and does not pass though 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 in line AB. In particular, make sure to describe the relative location and size of line A'B' compared to line. 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 relative location and size of line A'B' will be three times the size of line AB, but it will still run parallel to line AB. The line will stretch away from the origin, getting farther from the origin as it moves away.
If line AB was dilated with a scale factor of 1/3, the effect would be the opposite. Line A'B' would be one-third the size of line AB and would run parallel to line AB. The line would shrink towards the origin, getting closer to the origin as it moves towards it.