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 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 longer or shorter than line AB, depending on the direction of the dilation. The angle between line AB and the x-axis will remain the same.
If line AB was dilated with a scale factor of 13, the effects would be similar to the scale factor of 3 but more extreme. Line A′B′ would be thirteen times longer or shorter than line AB, again depending on the direction of the dilation. The angle between line AB and the x-axis would still remain the same.