Question

If the following pair of the triangle is congruent? state the condition of congruency : 
In  ΔABC and ΔDEF,  ∠B = ∠E = 90^o; AC = DF and BC = EF.

Answer 1

In Δ ABC and Δ DEF
∠B = ∠E = 90^ο 
Hyp. AC= HYp. DF
BC = EF
By Right Angel- Hypotenuse-Side Criterion of  congruency, the triangles
Δ ABC and Δ DEF are congruent to each other.
∴ Δ ABC ≅ Δ DEF