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To use the Hypotenuse-Leg (HL) Congruence Theorem to show that triangles ΔABC and ΔXYZ are congruent, we need to confirm two conditions:
1. The hypotenuses of both triangles (AC and XZ) are congruent.
2. One pair of corresponding legs must also be congruent.
Given the information:
- Angle B is congruent to angle Y (∠B ≅ ∠Y).
- Hypotenuse AC ≅ XZ.
Since we need to identify a leg of the triangles that also corresponds to the congruence statement, we have the following pairs of legs to consider:
- AB and XY
- BC and XZ
- BC and YZ
Given that we need to show that a pair of legs is congruent, we can use the following response based on congruence:
- **AB ≅ XY**.
This confirms that triangle ΔABC is congruent to triangle ΔXYZ by the HL theorem since we have both hypotenuses and one corresponding leg congruent.
Therefore, the answer is:
**AB ≅ XY**.