In right triangle with , , . In right triangle with , , . Wh...

Question Analysis:
This question tests congruence proofs for right triangles using HL, SSS, and SAS criteria, along with Pythagorean theorem applications.

Key Concept Explanation:
- HL: Hypotenuse-Leg congruence for right triangles
- SSS: Side-Side-Side congruence
- SAS: Side-Angle-Side congruence
- Pythagorean Theorem: a² + b² = c² in right triangles

Step-by-Step Solution:
1. Calculate missing sides:
- △ABC: BC = √(13² - 5²) = 12
- △DEF: DF = √(13² - 12²) = 5

2. Verify congruence:
- All sides equal (SSS)
- Hypotenuse (13) and leg (5) equal (HL)
- Two sides and included right angle equal (SAS)

Option Analysis:
✅ A (HL): Valid
✅ B (SSS): Valid ...

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