Question

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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.

Answer 2

In one sentence

Answer 3

[AI-generated answer — Bot GPT 3.5]

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.