In the figure, equilateral triangles
ABC', ABC", BCA', BCA", ACB', and ACB" are constructed on the sides of a triangle
ABC. Prove that (1) A'BA"C, AB'CB", and AC'BC" are rhombuses and
(2)A'BC'B", A'CB'C",AB'A"C', A"CB"C', AB"A'C", and A"BC"B' are parallelograms.
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