1.Use vector methods to show that the diagonals of a parallelogram bisect each other. 2.Let Quad(PQRS) denote the quadrilateral in the xy-plane with vertices P, Q, R, and S. If P' is the midpoint of side PQ, Q' is the midpoint of side QR, R' is the midpoint of side RS, and S' is the midpoint of side SP, prove that Quad(P'Q'R'S') is a parallelogram.

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