Geometry

Question Analysis:
This question involves overlapping triangles and tests the understanding of how the ASA postulate applies when a common side is involved.

Key Concept Explanation:
ASA states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent.

Step-by-Step Solution:
Identify given congruent parts:
∠ABC ≅ ∠DBC
∠ACB ≅ ∠DCB
BC ≅ BC (Common side, Reflexive Property)
Check if the side is included:
BC is between ∠ABC and ∠ACB in △ABC and between ∠DBC and ∠DCB in △DBC.
This satisfies the ASA postulate.

Option Analysis:
A) Correct. Two angles and the included side are congruent, which satisfies ...