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To show that triangles ABC and XYZ are congruent by the Hypotenuse-Leg (HL) Congruence Theorem, we need to establish the following:
1. The hypotenuses: AC and XZ are congruent (as given).
2. One leg: One leg of triangle ABC must be congruent to the corresponding leg of triangle XYZ.
From your options, the correct statement would be:
**BC is congruent to XY.**
So, the full justification for using the HL Theorem is:
- AC is congruent to XZ (hypotenuses).
- BC is congruent to XY (one leg).
With both of these parts established, we can conclude that triangle ABC is congruent to triangle XYZ by the HL Congruence Theorem.