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ABCD is a rhombus and P, Q, R and S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rectangle.

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Vertices as midpoint of quadrilateral from parallelogram
`/_ABD`
PS||BD
BD`_|_`AC
PS`_|_`AC
`/_ABC`
PQ||AC
AC`_|_`BD
PQ`_|_`BD
PQ`_|_`PS
`angleSPQ=90^0`

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