Prove that `A(4,3),B(6,4)a n dC(5,6)a n dD(3,5)` are the angular points of a square.

Explanation

Now we have
`A B=sqrt{(4-6)^{2}+(3-4)^{2}}`

`=sqrt{4+1}=sqrt{5}` units

`B C=sqrt{(6-5)^{2}+(4-6)^{2}}=sqrt{1+4} `

`B C=sqrt{5}` units.

`C D=sqrt{(5-3)^{2}+(6-5)^{2}}=sqrt{4+1}`

`C D=sqrt{5}` units

Also DA =`sqrt{(4-3)^{2}+(3+5)^{2}}`

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