ine 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?(4 points)
1. 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 as long as line AB. This means that the points on line A'B' will be three times farther away from the origin compared to the corresponding points on line AB. Additionally, the direction and slope of line A'B' will remain the same as line AB.
2. If line AB was dilated with a scale factor of 13, the effects of the dilation would be more pronounced. Line A'B' would be thirteen times longer than line AB, and the points on line A'B' would be thirteen times farther away from the origin compared to the corresponding points on line AB. The direction and slope of line A'B' would still remain the same as line AB, but the elongation of the line would be much more significant with a scale factor of 13.