Question

6x^2-5x-21In figer ABCD is a quadrilater in which AB=BC and LDAB =LCBA prove that (i) tringal ABD congruence teingalBAC(ii) BD=AC​

Answer 1

Answer:

Step-by-step explanation:

Given:

AD=BC                   (i)

∠DAB=∠CBA           (ii)

To Prove:

(i) ΔABD≅ΔBAC

(ii) BD=AC

Proof:

In ΔABD and ΔBAC

(i)AD=BC   (Given)

(ii)∠DAB=∠CBA   (Given)

(iii)AB=AB   (Common Side)

∴ΔABD≅ΔBAC bt SAS congruence rule

(ii) BD=AC    (By C.P.C.T)