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If the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent. The correct option is D, HL.
According to the HL theorem, If the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent. therefore, the hypotenuse will be congruent to each other, and the corresponding sides will be congruent to each other.
In the two of the given triangle, ΔPQR and ΔSTU, the following things can be seen,
PR ≅ SU (Leg of the triangle)
RQ ≅ TU (Hypotenuse)
Also, since the two of the triangles are right angle triangle, and the length of the one leg of the two triangles is equal, also, the hypotenuse of the two triangle is equal. Therefore, Using the HL postulate. The two triangles can be said to be congruent.
Hence, the triangle congruence criterion can be used to prove that PQR and STU are congruent is HL Congruency.
Learn more about HL theorem:
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