When copying a line segment to construct a new line segment, why do you think it is important that the plotted point for the new line segment is not on the original line segment?(1 point)
Responses
Line segments cannot intersect or overlap.
Line segments cannot intersect or overlap.
It would be difficult to see what you are doing if the line segments overlapped, making it easier to make a mistake and harder to check your work.
It would be difficult to see what you are doing if the line segments overlapped, making it easier to make a mistake and harder to check your work.
If the line segments overlapped, there would be multiple line segments on one line.
If the line segments overlapped, there would be multiple line segments on one line.
It is important to draw the new line segment on a different piece of paper from the original.
It is important to draw the new line segment on a different piece of paper from the original.
All of these responses are correct. When copying a line segment to construct a new one, it is important that the plotted point for the new line segment is not on the original line segment because:
1. Line segments cannot intersect or overlap: Two line segments cannot occupy the same space or intersect each other. It is important to avoid overlapping the new line segment with the original to maintain their individuality.
2. It would be difficult to see what you are doing if the line segments overlapped: Overlapping line segments can make it confusing to see the construction clearly, increasing the chances of making mistakes and making it harder to verify the accuracy of the construction.
3. If the line segments overlapped, there would be multiple line segments on one line: Overlapping the new line segment with the original would result in having multiple line segments on the same line, which would be incorrect.
4. It is important to draw the new line segment on a different piece of paper from the original: To properly copy the line segment, it is necessary to have enough space to accurately construct the new segment without overlapping it with the original. Drawing the new line segment on a different piece of paper ensures this.