Geometry

Question Analysis:
This question checks whether the HL theorem can be applied in overlapping triangles.

Key Concept Explanation:
For HL, we need:
Right triangles ✅ (∠X and ∠W are right angles).
Congruent hypotenuses ✅ (XY ≅ WY).
One congruent leg ✅ (YZ is shared).

Step-by-Step Solution:
Step 1: Verify that both triangles are right triangles. ✅
Step 2: Check for a congruent hypotenuse. ✅ Given (XY ≅ WY).
Step 3: Confirm one congruent leg. ✅ (YZ is shared).
Step 4: Since all HL conditions are met, the triangles must be congruent.

Option Analysis:
A) HL ✅ Correct, since we have a right triangle, ...