Question

In the given figure, seg AD ≅ seg EC. Which additional information is needed to show that ∆ABD and ∆EBC will be congruent by AAS test?

Answer 1

In ∆ABD and ∆CBE, 

∴ seg AD ≅ seg CE …[Given] 

∠ABD ≅ ∠CBE …[Vertically opposite angles] 

∴ The necessary condition for the two triangles to be congruent by AAS test is 

∠ADB ≅ ∠CEB, or 

∠DAB ≅ ∠ECB