ही ही चतुर्भुज है, जिसमें pAB

1.	ही ही चतुर्भुज है, जिसमें pAB =4 CBA है (देखिए हा हिकीजिए कि शी() AABD=A BAC BD=AC(i) £ABD=~BAC
Answer» Given: In quadrilateral ABCD, AD = BC & ∠DAB = ∠CBA To Prove: (i)ΔABD ≅ ΔBAC (ii)BD=AC (iii)∠ABD = ∠BAC Proof: i) In ΔABD & ΔBAC, AB = BA (Common)∠DAB = ∠CBA AD = BC (Given) Hence,ΔABD ≅ΔBAC. ( by SAS congruence rule). (ii) Since, ΔABD ≅ΔBAC Then, BD = AC (by CPCT) (iv)Since, ΔABD ≅ ΔBAC Then , ∠ABD = ∠BAC (by CPCT)

ही ही चतुर्भुज है, जिसमें pAB =4 CBA है (देखिए हा हिकीजिए कि शी() AABD=A BAC BD=AC(i) £ABD=~BAC

Answer»

Given:

In quadrilateral ABCD,

AD = BC &

∠DAB = ∠CBA

To Prove:

(i)ΔABD ≅ ΔBAC

(ii)BD=AC

(iii)∠ABD = ∠BAC

Proof:

In ΔABD & ΔBAC,

AB = BA (Common)∠DAB = ∠CBA

AD = BC (Given)

Hence,ΔABD ≅ΔBAC.

( by SAS congruence rule).

(ii) Since, ΔABD ≅ΔBAC

Then, BD = AC (by CPCT)

(iv)Since, ΔABD ≅ ΔBAC

Then , ∠ABD = ∠BAC (by CPCT)