Line segments can be broken down into points.
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Yes line segments can be broken down
A line segment consists of an infinite number of points. Depending on how you define "breaking it down", yes, it's possible. But of course not in a finite number of steps.
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If it has a line of symmetry; if it can be "cut in half" and both halves looks identical. For example, if you imagine a square, then imagine a line straight down the middle, each side of the line is identical to the other. That line is the "line of symmetry". Some objects can have many lines of symmetry, some have none. Hnefatl
Undifined terms are terms that don't and can't be broken down any more. Three examples: point, line, plane.