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A triangle is not a segment joining a vertex and the midpoint of the side opposite the vertex.
Is the straight line joining one of the vertices to the vertex opposite.
12 vectors, unless it is a parallelogram (13 if you include the null vector). If the quadrilateral is a parallelogram there will be two fewer.
It is the distance between opposite corners and it can be worked by using Pythagoras' theorem.
An irregular hexagon has no axes of symmetry. A regular hexagon, on the other hand, has 6 axes of symmetry: three lines joining the midpoints of opposite sides, and three lines joining opposite vertices.