Geometry

Question Analysis:
This question tests understanding of triangle congruence postulates, specifically when two angles and one side are given.

Key Concept Explanation:
ASA (Angle-Side-Angle): Two angles and the included side are congruent.
AAS (Angle-Angle-Side): Two angles and a non-included side are congruent.
SSS (Side-Side-Side): Requires all three sides to be congruent.
SAS (Side-Angle-Side): Requires two sides and the included angle to be congruent.

Step-by-Step Solution:
Given information:
∠X ≅ ∠P
∠Y ≅ ∠Q
XZ ≅ PR
The side given (XZ ≅ PR) is not between the two given angles (∠X and ∠Y).
This fits the AAS (Angle-Angle-Side) postulate, making D the correct answer.

Option Analysis:
(A) SSS: Incorrect. Only one side is given, not three.
(B) SAS: Incorrect. The given angle is not between the two sides.
(C) ASA: Incorrect. The side must be between the two angles, but it is not.
(D) AAS: Correct. Two...