Geometry

Question Analysis:
This question involves determining the correct conditions for applying the Hypotenuse-Leg (HL) Theorem, which is a special case of triangle congruence for right triangles.
The main focus is on recognizing that HL applies specifically to right triangles and requires congruence of the hypotenuse and one leg.

Key Concept Explanation:
The HL theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.
This works because:
Right triangles always have one 90° angle.
The Pythagorean Theorem ensures that if the hypotenuse and one leg are known, the other leg is determined uniquely.

Step-by-Step Solution:
Identify that this problem refers to right triangle congruence.
Recall the HL theorem: Two right triangles are congruent if they have a congruent hypotenuse and one congruent leg.

Common Mistakes:
Confusing HL with Angle-Side-Angle (ASA) or Angl...