The diagonals of the rectangle EFGH intersect at a point M. The rectangle EFGH is translated to

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The diagonals of the rectangle EFGH intersect at a point M.
The rectangle EFGH is translated to a new position E’F’G’H’ and the intersection point of the diagonals is at the origin.

a. Calculate the coordinates of the vertices E’, F’, G’ and H’.
b. Justify your answers in part (a).

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