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On method would be to find the midpoint of the line segment and then to find the mid points of each of the halves.

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Q: Describe how to locate the quarter points of a line segment?
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How do you locate quarter points of a line segment?

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A line segment is defined as having endpoints with the midpoint of the line at its centre


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Every line and every line segment of >0 length has an inifinite amount of unique points.Socratic Explaination:consider ...- There are 2 distinct points defining a line segment.- Between these 2 distinct points, there is a midpoint.- The midpoint divides the original segment into 2 segments of equal length.- There are 2 distinct points used to define each segment.- Between these 2 distinct points, there is a midpoint for each segment.- These midpoints divide the segments into smaller segments of equal length.- repeat until throughly beatenThis leads to a description of an infinite amount of points for any given line segment.This does not describe all the points of a line segment. Example: the points 1/3 of the distance from either of the the original 2 points are approached but never hit.Please, feel free to rephrase this explanation. I know it's sloppy.


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