Geometry

Question Analysis:
The problem presents two overlapping right triangles and asks which theorem proves their congruence.

Key Concept Explanation:
For HL to apply:
Right triangles ✅ Given (∠A and ∠D are right angles).
Congruent hypotenuses ✅ BC is shared (same length).
One pair of congruent legs ✅ AC ≅ DC.

Step-by-Step Solution:
Step 1: Identify both triangles are right triangles. ✅
Step 2: Recognize that BC is the hypotenuse for both triangles. ✅
Step 3: Confirm that one leg (AC ≅ DC) is given as congruent. ✅
Step 4: Since we have right triangles with a hypotenuse and one leg matching, HL applies.

Option Analysis:
A) SSS 🚫 Not all three sides are...