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, line A'B' will be three times the length of line AB and will be in the same direction and position as line AB. However, line A'B' will start from the origin.
If line AB is dilated with a scale factor of 13, line A'B' will be thirteen times the length of line AB and will also be in the same direction and position as line AB. Similarly, line A'B' will start from the origin.