When line AB is dilated with a scale factor of 3 and a center of dilation at the origin, the resulting line A' * B' will be three times the length of line AB. The relative location of line A' * B' will remain the same as line AB, meaning they will have the same slope and will be parallel.
If line AB is dilated with a scale factor of 1/3, the resulting line A' * B' will be one-third the length of line AB. The relative location and slope of line A' * B' will remain the same as line AB, but it will be shorter in length.
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 effect of the dilation on line AB. In particular, make sure to describe the relative location and size of line A' * B' compared to line AB. If Line AB was dilated with a scale factor of 1/3 how would your answer change? (4 points)
3 answers
In one sentence
The dilation with a scale factor of 3 and a center of dilation at the origin will make line A' * B' three times as long as line AB and maintain the same relative location, while a dilation with a scale factor of 1/3 will make line A' * B' one-third the length of line AB, but still retain the same relative location.
1 answer