D
ABCD is a quadrilateral in which AD = BC and
Z DAB = Z CBA (see Fig. 7.17). Prove that
(1) A ABD = ABAC
(ii) BD=AC
B
(I) ZABD = ZBAC.
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✏ABCD is a quadrilateral
Given :-
↪AD = BC
↪/_DAB = /_CBA
To prove :-
- ΔABD = ΔBAC
In ΔABD & ΔBAC
✏AD = BC [Given]
✏ /_DAB = /_CBA [Given]
✏AB = BA [Common]
✏ΔABD ≈ ΔBAC [ By SAS Rule]
Since:-
✏ΔABD ≈ ΔBAC
✏Then BD = AC [By CPCT ]
Since:-
✏ΔABD ≈ ΔBAC
✏Then /_ ABD = /_BAC [ By CPCT ]
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