The prove, triangle BXA is congruent to triangle EYA. is achieved using HL congruence theorem
How to complete the proof
The two column proof is written as follows
Statement Reason
BX ⊥ XA given
BY ⊥ YA given
XA ≅ YA given
AB ≅ BA Reflexive property
Δ BXA ≅ Δ EYA HL congruence theorem