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Given that the segment BD is on a line l . On one side of l take a point C and construct two squares ABCK and CDEF respectively outside the triangle CBD. Let M be the midpoint of the segment AE, prove that the position of M is independent of the choice of the position of C.

Given that the segment BD is on a line l. On one side of l  take a point C and construct two squares ABCK and CDEF respectively outside the triangle CBD. Let M be the midpoint of the segment AE, prove that the position of M is independent of the choice of the position of C.

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