Question

Label each pair of triangles with the postulate or theorem that proves the triangles are congruent.

Answer 1

We can conclude that Δ ABC ≅ Δ DEF by AAS postulate.

Explanation:

Δ ABC and Δ DEF are congruents because:

1. Their non-included sides BC and EF are equal (7 units = 7 units)

2. Their angles ∠A and ∠D are equal (39° = 39°)

3. Their angles ∠C and ∠F are equal (64° = 64°)

Now, we can conclude that Δ ABC ≅ Δ DEF by AAS postulate.