Chapter 4 - Congruent Triangles - 4-3 Triangle Congruence by ASA and AAS - Practice and Problem-Solving Exercises - Page 238: 8

$\triangle{PRQ}$ and $\triangle{XVW}$

In order to prove congruence using ASA, it is necessary that the side marked as congruent is between the two angles marked as congruent. For triangle SUT, we see that this is not the case. Thus, we know triangle SUT cannot be congruent to the other triangles using ASA.