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Show that points (0,1,2),(2,5,8),(5,6,6)...

Show that points (0,1,2),(2,5,8),(5,6,6) and (3,2,0) from a parallelogram.

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Let A=`(0,1,2),B=(2,5,8)C=(5,6,6), D= (3,2,0)`

`"Then "AB=sqrt(4+16+36)=sqrt(56)`
`DC =sqrt(4+16+36)=sqrt(56) `
` "Thus" AB=DC `
`"Again" BC=sqrt(9+1+4) = sqrt(14)`
`AD=sqrt(9+1+4) =sqrt(14)`
`:. BC=AD ` Thus the opposite sides of the quadrilateral ABCD are equal, hence it is a parallelogram.
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