Para-Hexagon Concurrency Theorem
If the midpoints of the opposite sides of a hexagon with opposite sides parallel are connected, then the three lines are concurrent at the centre of the conic circumscribed around the original hexagon.
Drag A, B, C, D or E - also check when ABCDEF becomes a crossed hexagon.
Can you explain why (prove) the above result is true?
Download an article of mine from the Mathematical Gazette (2006) for a proof of the result above from More on Hexagons with Opposite Sides Parallel
Created by Michael de Villiers, 6 June 2009 with Cinderella