Question

ABCD is a quadrilateral in which AD=BC and angle DAB = angle CBA (see fig). prove that
(i) ∆ABD is congruent to ∆BAC
(ii) BD=AC
(iii)angle ABD = angle BAC​

Answer 1

Answer:

Step-by-step explanation:

In triangle ABD & triangle BAC

AD = BA ( given )

angle DAB = angle CBA ( given )

AB= BA ( Common )

triangle ABD congruent to triangle BAC ( SAS congruence rule )

therefore: BD = AC ( CPCT )

And , angle ABD = angle BAC ( CPCT )