Question

Where AD=BC
Angle DAB= angle CBA
Batao ki Kaise SAS se congruent hai AAS se kyu nhi​

Answer 1

Full Question:

ABCD is a quadrilateral in which AD = BC & ∠DAB = ∠CBA. Prove that: ∆ABD ≅ ∆BAC.

Given:

1. AD = BC
2. ∠DAB = ∠CBA

To Prove:

• ∆ABD ≅ ∆BAC

Proof:

In ∆ABD & ∆BAC,

AD = BC⠀⠀⠀⠀⠀⠀ ⠀⠀⠀[Given] [Side]

∠DAB = ∠CBA⠀⠀⠀⠀⠀[Given] [Angle]

AB = BA ⠀⠀⠀⠀⠀⠀⠀⠀⠀[Common] [Side]

{By SAS congruence rule}

∆ABD ≅ ∆BAC