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ABCD is a rectangle and P, Q, R and S a...

ABCD is a rectangle 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 rhombus.

Text Solution

Verified by Experts

`AB=CD`
`AD=BC`
`AP=PB=1/2*AB`
`DR= RC = 1/2*DC`
`AP=PB=RD=RC`
`AS=SD=BQ=CQ`
`/_ APS, /_ SDR`
`AS-SD`
...
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