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?

1 answer

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 the distance away from the origin compared to Line AB. This means that Line A'B' will be longer than Line AB and will be in the same direction.

If Line AB was dilated with a scale factor of 1/3, Line A'B' would be one-third the distance away from the origin compared to Line AB. This means that Line A'B' would be shorter than Line AB and still in the same direction.