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Is there a simple name for a line segment joining the midpoints of 2 opposite edges of a regular hexagon?

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What I already know:

  • A line segment between the midpoints of opposite edges of a square (or any quadrilateral) is called a bimedian.
  • A line segment between the midpoints of 2 edges of a triangle is called a midsegment

What I would like to know:

  • Is there a general use word for a line segment connecting the midpoints of 2 sides of any shape? (In particular, I'd like to know the answer to the question in the title. We have words like diagonal and diameter, so I don't see why there wouldn't be a general word for lines between the midpoints of edges, but I can't seem to find one.)
  • Does the word bimedian make sense for any regular shape with an even number of sides, or does it only apply to quadrilaterals?
  • Can the word midsegment be generalised for any shape, or does it only apply to triangles? (Failing everything else, I'm tempted to refer to this line as the long midsegment of the hexagon.)

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