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? 1-5 sentences
When line AB is dilated with a scale factor of 3 and a center of dilation at the origin, line AB will be stretched out to be three times longer or shorter than the original line, depending on the direction of the dilation. The angle and slope of the line will remain the same, but the distance between any two points on line AB and their images on line A′B′ will be tripled.
If line AB was dilated with a scale factor of 13, the effects of the dilation would be even more pronounced. Line AB would be stretched out or shrunk to be thirteen times longer or shorter than the original line, further increasing the distance between any two points on the original line and their images on the dilated line. The overall shape and direction of the line would still remain the same, but the magnitude of the dilation would be much greater.