Question

Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent. Given: ∠C, ∠F are rt. ∠'s; ∠B = ∠E; BC = EF

Answer 1

Angle Angle Side (or AAS)

Answer 2

Angle Side Angle

Explanation:

Here, the following triangles are congruent by using Angle Side Angle

∠c=∠F(90°) (Angle)

BC=EF (Given) (Side)

∠B=∠E (Given) (Angle)

By using Angle Side Angle criteria, we can say that

Both the triangles are congruent

Hence, Both triangles are congruent by using ASA criteria.