Answer:
When line AB is dilated with a scale factor of 3 and a center of dilation at the origin, the resulting line A'B' is three times longer than line AB. Line A'B' is parallel to line AB and it has the same direction and orientation as that of line AB.
If line AB was dilated with a scale factor of 1/3, the only thing that would change is the length of line A'B'. It would now be a third of the length of line AB. It would still be parallel to line AB and have the same direction and orientation as line AB.
Explanation:
When dilating a figure with the centre of dilation at the origin, all we need to do is simply multiply the vertices of the figure by the scale factor.
Therefore, when line AB is dilated with a scale factor of 3 and a center of dilation at the origin, the resulting line A'B' is three times longer than line AB. Additionally, line A'B' is parallel to line AB and it has the same direction and orientation as that of line AB.
If line AB was dilated with a scale factor of 1/3, the only thing that would change is the length of line A'B'. It would now be a third of the length of line AB. It would still be parallel to line AB and have the same direction and orientation as line AB.