Question

ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA (see Fig. 7.17). Prove that: BD=AC.

Answer 1

by SSS(side side side) property common base and equal given sides including the proving sides should be equal...

Answer 2

Given,

AD=BC(given)

<DAB=<CBA(given )

AB=BA(common side)

By S.A.S congruency rule.

tri ABD=~triBAC.

BD=AC.[CPCT]

Hope it helps...