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?(4 points)
When line AB is dilated with a scale factor of 3 and a center of dilation at the origin, line A'B' is created. The dilation enlarges line AB by a factor of 3. Line A'B' is positioned in the same direction as line AB and passes through the origin. The length of line A'B' is 3 times the length of line AB.
If line AB was dilated with a scale factor of 1/3, line A'B' would be a representation of line AB that is smaller in size. Line A'B' would still be positioned in the same direction as line AB and would still pass through the origin. The length of line A'B' would be 1/3 the length of line AB.