Posted by Vanessa on .
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,
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.