Answer:
I'm thinking HL.
Step-by-step explanation:
So, in order to be AAS, the angles have to be the next thing after each other if that makes sense. Like, for example, you could do triangle RSQ is congruent to triangle QPR IF S and P were congruent... but there not, darn! So! That isn't the answer. In order to do SAS, you would need lines RS and PQ to be congruent because they are back-to-back with angles R,Q, plus the side (leg) that the triangles share which automatically makes them congruent btw :) Okay so this is getting a little lengthy (sorry) but I just wanted to explain why some of the answers are automatic turn offs. Anyhoo, HL would work because the hypotenuses (QS and PR) are congruent along with the one leg that both triangles share (QR or RQ however you want to look at it). I'm sorry if I'm wrong. I hope this helps!! Good luck! and always remember, if the angles and sides aren't next to each other, it doesn't match up with SAS, AAS, SSS, or ASA. Have a good night!
