In the given figure, seg AD ≅ seg EC. Which additional information i

1.	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» 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

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»

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