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..
When line AB is dilated with a scale factor of 3 and a center of dilation at the origin to create line A'B', the length of line AB is multiplied by 3 and the direction of the line remains the same. The endpoint of line AB will be moved further away from the origin by a factor of 3.
If line AB is dilated with a scale factor of 1/3, the length of line AB will be divided by 3 and the direction of the line remains the same. The endpoint of line AB will be moved closer to the origin by a factor of 1/3.