Last updated at May 29, 2023 by Teachoo
Ex 7.1, 1 In quadrilateral ACBD, AC = AD and AB bisects ∠A (See the given fig.). Show that ΔABC ≅ ΔABD. What can you say about BC and BD? Given: AC = AD AB bisects ∠ A i.e. ∠ ∠CAB = ∠DAB To prove: ΔABC ≅ ΔABD Proof: In ΔABC and ΔABD, AB = AB ∠CAB = ∠DAB AC = AD ∴ ΔABC ≅ ΔABD ∴ BC = BD Therefore, BC and BD are of equal length.