Question

In following pairs of triangles, find the pairs which are congruent? Also, write the criterion of congruence.

Answer 1

i) AB = PR 

∠B = ∠P 

∠C = ∠Q 

Now by angle sum property ∠A = ∠R 

∴ By A.S.A, ΔABC ≅ ΔRPQ

ii) ΔADB ≅ ΔCBD by A.S.A. 

∠ABD = ∠CDB 

DB = DB

iii) AB = CD 

∠A = ∠D 

∠B = ∠C (by angle sum properly 

By A.S.A 

ΔABO ≅ ΔDCO

iv) We can say whether the triangles are congruent or not, at least one pair of sides should be given equal.