Geometry

Question Analysis:
This question tests understanding of triangle congruence postulates, specifically AAS (Angle-Angle-Side).
The main focus is on:
Identifying given corresponding parts (two angles and a non-included side).
Applying the correct congruence postulate.

Key Concept Explanation:
AAS Congruence Postulate: If two angles and a non-included side of one triangle are congruent to the corresponding parts of another, the triangles are congruent.

Step-by-Step Solution:
Given:
∠A ≅ ∠D
∠B ≅ ∠E
BC ≅ EF (side not between the two angles).
This matches AAS, since two angles and a non-included side are congruent.

Option Analysis:
(A) SSS requires all three sides, which we don’t have.
(B) SAS requires two sides and the included angle, but we only...