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?
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 longer than line AB. The direction of the line will remain the same, but its length will increase.
If line AB was dilated with a scale factor of 13, the effects would be more pronounced. Line A'B' would be thirteen times longer than line AB. The line would stretch significantly in the direction of the dilation, becoming much longer than the original line.