To determine the correct congruence statement based on the given information, we need to match the pairs of angles and sides correctly from triangles ∆XPA and ∆MKL.
Given the information:
- Angles: ∠X ≅ ∠L, ∠P ≅ ∠M, ∠A ≅ ∠K
- Sides: PA ≅ MK, AX ≅ KL, XP ≅ LM
Using the information provided, we can match corresponding parts of the triangles:
1. The angles correspond:
- ∠X with ∠L
- ∠P with ∠M
- ∠A with ∠K
2. The sides correspond:
- PA with MK
- AX with KL
- XP with LM
Based on the angle-side-angle (ASA) or side-angle-side (SAS) congruence criteria (since both angle measures and side lengths are provided), it’s appropriate to state that the triangles are congruent.
Now, let's look at the options:
- **△XPA≅△MKL**: This option corresponds correctly, matching angles and sides as indicated.
- **△PAX≅△KLM**: This mixes the order of vertices incorrectly; the triangles would not correspond properly.
- **△PAX≅△MKL**: Again, an incorrect order of vertices.
- **△XPA≅△KLM**: This mixes the triangles up incorrectly, as they should correspond to each other directly based on the given information.
Based on this analysis, the correct choice is:
**△XPA≅△MKL**.