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Question

ABCD is a quadrilateral in which AD=BC and DAB=CBA . Prove that
(i) ABDBAC
(ii) BD=AC
(iii) ABD=BAC
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Solution

In ABD and BAC,

AD=BC (Given)

DAB=CBA (Given)

AB=BA (Common)

ABDBAC (By SAS congruence rule)

BD=AC (By CPCT)

And, ABD=BAC (By CPCT)

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