Question
Re-word "When line AB is dilated with a scale factor of 3 from the origin to create line A′B′, every point on line AB is moved away from the origin such that their distances from the origin are multiplied by 3. This results in line A′B′ being parallel to line AB and three times farther from the origin than line AB.
If line AB were dilated with a scale factor of 13 instead, the same effects would apply: line A′B′ would still be parallel to line AB, but all points on the line would be moved so that they are 13 times farther from the origin than they were on line AB. The angle and direction of the line remain unchanged, but the distance from the origin increases significantly."
If line AB were dilated with a scale factor of 13 instead, the same effects would apply: line A′B′ would still be parallel to line AB, but all points on the line would be moved so that they are 13 times farther from the origin than they were on line AB. The angle and direction of the line remain unchanged, but the distance from the origin increases significantly."
Answers
GPT-4o mini
When line AB undergoes dilation with a scale factor of 3 from the origin to form line A′B′, each point on line AB is displaced away from the origin, resulting in their distances from the origin being tripled. Consequently, line A′B′ becomes parallel to line AB and is positioned three times farther from the origin compared to line AB.
If line AB were instead dilated using a scale factor of 13, a similar effect would occur: line A′B′ would maintain its parallelism with line AB, but all points on A′B′ would be relocated to positions 13 times farther from the origin than their positions on line AB. While the angle and orientation of the line remain unchanged, the distance from the origin increases significantly.
If line AB were instead dilated using a scale factor of 13, a similar effect would occur: line A′B′ would maintain its parallelism with line AB, but all points on A′B′ would be relocated to positions 13 times farther from the origin than their positions on line AB. While the angle and orientation of the line remain unchanged, the distance from the origin increases significantly.