Geometry

Question Analysis:
This question is designed to test the application of the ASA postulate and the relationship between corresponding parts of congruent triangles.
The main focus is on understanding how angles and sides are congruent when two triangles are congruent, based on the ASA postulate.

Key Concept Explanation:
When two triangles are congruent, all corresponding sides and angles are congruent.
According to the ASA postulate, if two angles and the included side are congruent, then all corresponding parts (angles and sides) must be congruent as well.

Step-by-Step Solution:
The congruence of triangle ABC and triangle DEF means that all corresponding parts (angles and sides) are congruent.
According to the ASA postulate, ∠A corresponds to ∠D, ∠B corresponds to ∠E, and the side AB corresponds to side DE.
Therefore, the correct relationship is that ∠A = ∠D, ∠B = ∠E, and AB = DE.

Option Analysis:
Option A: While it mentions angle congruence, it does not specify any sides.
Option B: This is the correct answer, as it directly aligns with the ASA post...