Posted by **Vanessa** on Friday, October 19, 2012 at 9:53am.

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 -
**Steve**, Friday, October 19, 2012 at 11:03am
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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