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 effects of the dilation are as follows:
1. The length of line AB will become three times longer, resulting in line A'B' being significantly longer than line AB.
2. The direction and slope of line AB will remain the same, but line A'B' will be parallel to line AB.
3. The distance between line AB and the origin will increase by a factor of 3.
If line AB was dilated with a scale factor of 1/3, the effects of the dilation would be the opposite:
1. The length of line AB would become one-third of its original length, resulting in line A'B' being much shorter than line AB.
2. The direction and slope of line AB would remain the same, but line A'B' would be parallel to line AB.
3. The distance between line AB and the origin would decrease by a factor of 3.