Normally just the the one which is in the middle of the line segment
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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.
the midsegment
connects two midpoints of a triangle
a midsegment of a triangle
Points: (-6, -3) and (9, -7) Midpoint: (1.5, -5)