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Quadrilateral PQRS has vertices P(0,6), Q(-6,-2), R(2,-4), and S(4,2). Verify that the quadrilateral formed by joining the midpoints of the sides of PQRS is a parallelogram.

  • Math -

    midpoints:

    mPQ=A: (-3,2)
    mQR=B: (-2,-3)
    mRS=C: (3,-1)
    mSP=D: (2,4)

    check slopes:
    AB: -5
    BC: 2/5
    CD: -5
    DA: 2/5

    parallel in pairs. OK.

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