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 effects of the dilation on Line AB . If line AB was dilated with a scale factor of 1/3 , how would your answer change? (Try to answer in 1 paragraph)
When line AB is dilated with a scale factor of 3 and a center of dilation at the origin to create line A′B′, line A′B′ will be three times longer than line AB and will have the same slope as line AB, but will pass through the origin. The dilation will stretch line AB away from the origin and increase its length. However, if line AB was dilated with a scale factor of 1/3, line A′B′ would be one third of the length of line AB and would still have the same slope as line AB, but would now be closer to the origin. The dilation with a scale factor of 1/3 would compress and shrink line AB towards the origin, reducing its length.
