Answer:
C. BA ≅ DA
Explanation:
⭐ What is the HL theorem?
- The HL theorem is a triangle congruence statement used to say that 2 right triangles are congruent.
- For 2 right triangles to be considered by the HL theorem, they must have congruent hypotenuses and congruent corresponding legs
✔️In this problem, it is already established that ΔABC and ΔADC are right triangles because they have a right angle.
✔️ΔABC and ΔADC have congruent hypotenuses because they both share hypotenuse AC, and by the reflexive property of congruence, AC ≅ AC
❌There is no indication that their corresponding legs are congruent, and that is what we need for the HL theorem.
The only answer option that mentions their corresponding legs being congruent is option C.