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

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 to create line A' B', the new line A' B' is three times longer (or shorter if the scale factor is less than 1) than the original line AB.

If line AB was dilated with a scale factor of 2, the effects of the dilation would still cause line A' B' to be twice as long as line AB, but not as drastically elongated as with a scale factor of 3.