Prove with reason and drawing that in a Parallelogram each diagonal divides it into congruent triangles, the length of opposite sides are equal and the opposite angles are equal in magnitude.
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Answer: The opposite angles of a parallelogram are equal (and conversely: if the opposite angles of a quadrilateral are equal, it is a parallelogram). The diagonals of a parallelogram bisect each other (and conversely: if the diagonals of a quadrilateral bisect each other, it is a parallelogram).
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