No, it can only have one midpoint, because if it had two midpoints, then there would be two line segments! Also, if you add two midpoints, then thus creating another segment.
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the midsegment
connects two midpoints of a triangle
a midsegment of a triangle
Triangle Midpoint Theorem: The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
if it's between line segment or line, would it be line segment? i think line segment is the answer