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 from
By dilating Line AB with a scale factor of 3 and a center of dilation at the origin, Line A'B' would be three times longer and parallel to Line AB. The distance between the origin and Line AB would also be three times smaller. The angle between Line AB and the x-axis would remain the same.
If Line AB was dilated with a scale factor of 13, the effects would be similar but more pronounced. Line A'B' would be thirteen times longer than Line AB, and the distance between the origin and Line AB would be thirteen times smaller. The angle between Line AB and the x-axis would remain the same in both cases.