Question

Consider right triangles triangle ABC and triangle XYZ. Angle B and angle Y are congruent. The hypotenuse of each triangle is AC and XZ, and they are congruent. What other corresponding parts must be congruent to show that triangle ABC = triangle XYZ by the HL Congruence Theorem? A. AB=YZ. B. AB=XY. C. BC=XZ. D. BC=XY.

Answer 1

B. AB = XY

Reason: With right angles at B and Y and AC = XZ (hypotenuses), the correspondence is A↔X, B↔Y, C↔Z, so the corresponding leg to AB is XY. HL requires one matching leg, so AB = XY.