A rare property on Complete Quadrangles

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Studying complete quadrangulars I found an interesting question that I cannot solve:

Can the diagonal points of a complete quadrangular be collinear?

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ABCD is a complete quadrangle And the definition is:

ABCD is a complete quadrangle if A,B,C and D are 4 point wich any 3 are no collinear and the 6 lines determined by the points.

I made a mess making constructions buy found justo nonsense. Any help is welcome !