Geometry

Question Analysis:
This question involves proving triangle congruence using the AAS postulate.
The focus is identifying the non-included side that must be congruent.

Key Concept Explanation:
AAS states that if two angles and a non-included side of one triangle are congruent to two angles and a corresponding non-included side of another, then the triangles are congruent.

Step-by-Step Solution:
Given:
∠X ≅ ∠P
∠Z ≅ ∠R
The non-included side must be congruent.
Since the non-included side is opposite one of the given angles, the possible choices are:
XY ≅ PQ (Valid)
YZ ≅ QR (Valid)

Option Analysis:
✅ A (XY = PQ) → Correct, as it is a non-included side.
✅ C (YZ = QR) → Correct, as it is a...