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A B C D is a square E , F , G and H are ...

`A B C D` is a square `E , F , G and H` are points on `AB , BC , CD and D A` respectively, such that `A E=B F=C G=D Hdot` Prove that `E F G H` is square.

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Given: `AE=BF=CG=DH`
`therefore BE=CF=DG=AH`
`In /_\ AEH and /_\BEF`
`=>AE=BF (Given)`
`=>/_A=/_B ( "equal to " 90^0 )`
`=>AH=BE`
`therefore /_\ AEH ~= /_\BEF ...
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