Question 2:
ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA (See the given figure).
Prove that
(i) ∆ABD ≅ ∆BAC
(ii) BD = AC
(iii) ∠ABD = ∠BAC.
Answer:
In ∆ABD and ∆BAC,
AD = BC (Given)
∠DAB = ∠CBA (Given)
AB = BA (Common)
∆ABD ≅ ∆BAC (By SAS congruence rule)
∴ BD = AC (By CPCT)
And, ∠ABD = ∠BAC (By CPCT)
Latest Govt Job & Exam Updates: