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Question

ABCD is quadrilateral in which AD=BC and DAB=CBA. Prove that
(i) ΔABD=ΔBAC
(ii) BD=AC
(iii) ABD=BAC
1062168_374afe0023d245c68c7d237687d4d65f.png

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Solution

In triangles ABD and ABC

AD=BC (given )

BAD=ABC ( given )

AB=AB ( common )

By SAS criterion of congruency ABD is congruent toABC

BD=AC (by CPCT )

ABD=BAC ( by CPCT )

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