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Prove-that-the-segments-joining-the-midpoints-of-the-opposite-sides-of-an-equiangular-hexagon-are-concurrent-




Question Number 16738 by Tinkutara last updated on 26/Jun/17
Prove that the segments joining the  midpoints of the opposite sides of an  equiangular hexagon are concurrent.
$$\mathrm{Prove}\:\mathrm{that}\:\mathrm{the}\:\mathrm{segments}\:\mathrm{joining}\:\mathrm{the} \\ $$$$\mathrm{midpoints}\:\mathrm{of}\:\mathrm{the}\:\mathrm{opposite}\:\mathrm{sides}\:\mathrm{of}\:\mathrm{an} \\ $$$$\mathrm{equiangular}\:\mathrm{hexagon}\:\mathrm{are}\:\mathrm{concurrent}. \\ $$

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