which statement(s) could be used to prove RTS TRU? Select all that apply. SSS SAS ASA HL

To prove that two triangles are congruent, there are several methods that can be used depending on the information given about the triangles. The acronyms SSS, SAS, ASA, and HL represent different theorems that can be used in proving triangle congruency:

1. SSS (Side-Side-Side) Congruence Theorem: This method is used when it is known that all three sides of one triangle are congruent to all three sides of another triangle. If all three pairs of corresponding sides are equal in length, the two triangles are congruent.

2. SAS (Side-Angle-Side) Congruence Theorem: This method is used when two sides and the included angle (the angle between the two sides) of one triangle are congruent to two sides and the included angle of another triangle. If two pairs of sides and their included angle are equal, the two triangles are congruent.

3. ASA (Angle-Side-Angle) Congruence Theorem: This method is used when two angles and the included side (the side between the two angles) of one triangle are congruent to two angles and the included side of another triangle. If two pairs of angles and the side between them are equal, the two triangles are congruent.

4. HL (Hypotenuse-Leg) Congruence Theorem: This method is specific to right triangles and is used when the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle. If the hypotenuse and one leg are equal, the two right triangles are congruent.

To prove that triangle RTS is congruent to triangle TRU, you would have to match the corresponding parts of the triangles according to one of the above theorems. Without specific information on the sides and angles of the triangles RTS and TRU, it is impossible to say which method would be most appropriate. All the statements given (SSS, SAS, ASA, HL) could potentially be used to prove the triangles congruent if the corresponding parts match according to one of those theorems.