Answer:
ASA is correct because segment KL is between congruent angles at K and congruent angles at L, and angle-side-angle arrangement.
Step-by-step explanation:
Segment KL is congruent to itself. At one end of that segment (L) are angles marked with a single arc. Those are congruent.
Aht the other end of that segment (K) are angles marked with a double arc. Those are congruent. So, we have congruent angles, congruent segments, and more congruent angles. That angle-side-angle sequence is sufficient for the triangles to be declared congruent. The associated postulate is abbreviated ASA (for angle-side-angle).
In the triangles of interest angle MLK corresponds to angle JLK. Each of those angles has the single-arc mark. Similarly, angle MKL corresponds to angle JKL, since each of those has the double-arc mark. The naming of the triangles in the congruence statement must be such that these angle names will correspond.
ASA is the correct congruence criterion because the triangles have congruent angles joined by a self-congruent side. The correct congruence statement is ∆JKL ≅ ∆MKL because K and L are self-corresponding vertices in each of the triangles.
