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′ , Line AB will be stretched by a factor of 3 in every direction from the origin. This means that all points on the line will move further away from the origin.
If Line AB was dilated with a scale factor of 1/3 , the effects of the dilation would be the opposite. Line AB would be compressed by a factor of 1/3 in every direction from the origin. This means that all points on the line would move closer to the origin.
shorter please
When Line AB is dilated with a scale factor of 3, Line A'B' will be three times longer and further away from the origin.
If Line AB was dilated with a scale factor of 1/3, Line A'B' would be one-third of the length and closer to the origin.