Answer:
The HL Congruence Theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent. To determine whether enough information is given to prove the congruence of Triangle PQT and Triangle SRT using the HL Congruence Theorem, we need to check if the given information satisfies the conditions of the theorem. The HL Congruence Theorem requires the following conditions to be met: 1. Both triangles must be right triangles. 2. The length of the hypotenuse of one triangle must be congruent to the length of the hypotenuse of the other triangle. 3. The length of one leg of one triangle must be congruent to the length of one leg of the other triangle. Without specific information about the lengths of the sides or angles of Triangle PQT and Triangle SRT, it is not possible to determine whether enough information is given to prove their congruence using the HL Congruence Theorem. In order to establish the congruence between the triangles, we would need additional information such as the lengths of the hypotenuse and one leg of each triangle, or information about the angles of the triangles. Therefore, based on the given information, we cannot determine whether enough information is given to prove the congruence of Triangle PQT and Triangle SRT using the HL Congruence Theorem. If you have any further questions or need clarification, feel free to ask
Explanation: