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In a A B C median A D is produced to X ...

In a ` A B C` median `A D` is produced to `X` such that `A D=D X` . Prove that `A B X C` is a parallelogram.

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In `/_\ABD`and `/_\CDX` join BX and CX
`AD= DX `(Given)
`BD = DC` (since D is mid points)
`/_ADB=/_CDX` (Vertically opposite angles)
`/_\ABD~=/_\CDX` ...
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