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triangle, parallelograms, incidence --- hints

Use the following steps to construct a figure. 1) Pick non-collinear points A, B, C [these can be moved] 2) Pick point M inside triangle A.B.C [point M can be moved] 3) Locate point M_c such that quadrilateral A.M.B.M_c is a parallelogram. 4) Locate point M_b such that quadrilateral A.M.C.M_b is a parallelogram. 5) Locate point M_a such that quadrilateral B.M.C.M_a is a parallelogram.