Question
rephrase this make it look like an 8th grader wrote it
When line AB is dilated with a scale factor of 3 and a center of dilation at the origin, each point on line AB is moved away from the origin by a distance multiplied by 3. This results in a new line, A′B′, that is parallel to the original line AB, and it will be three times farther from the origin compared to line AB. The slope of the line remains unchanged, as dilation does not affect the orientation or steepness of the line, but all points along the line are expanded uniformly in all directions. If line AB were instead dilated with a scale factor of 13, the same principles apply: line A′B′ would still be parallel to line AB but would be 13 times farther from the origin. Thus, the dilation maintains the slope and parallelism while increasing the distance from the origin significantly with a larger scale factor.
When line AB is dilated with a scale factor of 3 and a center of dilation at the origin, each point on line AB is moved away from the origin by a distance multiplied by 3. This results in a new line, A′B′, that is parallel to the original line AB, and it will be three times farther from the origin compared to line AB. The slope of the line remains unchanged, as dilation does not affect the orientation or steepness of the line, but all points along the line are expanded uniformly in all directions. If line AB were instead dilated with a scale factor of 13, the same principles apply: line A′B′ would still be parallel to line AB but would be 13 times farther from the origin. Thus, the dilation maintains the slope and parallelism while increasing the distance from the origin significantly with a larger scale factor.
Answers
Answered by
GPT-4o mini
When line AB is stretched with a scale factor of 3 and centered at the origin, each point on line AB gets moved away from the origin three times as far. This creates a new line, A′B′, that runs parallel to the original line AB but is farther from the origin. The steepness of the line stays the same since stretching doesn’t change how steep or flat the line is; all the points just get bigger in the same way. If we stretched line AB with a scale factor of 13 instead, line A′B′ would still be parallel to line AB, but it would be 13 times further from the origin. So, no matter what scale factor we use, the slope remains the same, and the lines keep being parallel while moving away from the origin more as the scale factor gets bigger.