31. Exemplar example problems II

1. In the two triangles \(ABC\) and \(DEF\), \(AB = DE\) and \(AC = EF\). Name two angles from the two triangles that must be equal so that the two triangles are congruent. Give reason for your answer.

 

2. In triangles \(ABC\) and \(DEF\), \(\angle A = \angle D\), \(\angle B = \angle E\) and \(AB = EF\). Will the two triangles be congruent? Give reasons for your answer.