Geometry

Question Analysis:
This question tests understanding of the ASA (Angle-Side-Angle) and AAS (Angle-Angle-Side) congruence postulates.

Key Concept Explanation:
ASA (Angle-Side-Angle): If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
AAS (Angle-Angle-Side): If two angles and a non-included side are congruent, the triangles are also congruent.

Step-by-Step Solution:
Given information:
Two angles are congruent (∠A ≅ ∠X and ∠B ≅ ∠Y).
One side is congruent.
If the side is between the two given angles, ASA applies.
If the side is not between the two given angles, AAS applies.
Either way, the triangles must be congruent.
Therefore, the statement is True.

Common Mistakes:
Thinking that ASA...