The triangles are congruent by SSS.

To determine which transformations can be used to map triangle JKL onto triangle MKL, we start by recognizing that the triangles are congruent by SSS (Side-Side-Side) congruence.

Given that triangles JKL and MKL share the side KL and that the corresponding sides JK and KM and sides JL and ML are congruent, we can consider:

1. Reflection: This could map one triangle onto the other if they are reflections across a line that bisects angle K or the line KL.

2. Translation: This wouldn't directly help in mapping one triangle onto the other since both triangles are oriented based on the positions of KL and their vertices.

3. Dilation then Translation: Dilation changes the size of the triangle, which wouldn't be applicable since our triangles are congruent.

4. Rotation then Translation: A rotation followed by a translation could effectively map the triangles onto one another. For example, if you rotate triangle JKL around point K to align it with triangle MKL, a subsequent translation could achieve the full mapping.

5. Rotation then Dilation: This is not relevant since dilation would change the size, and these triangles are congruent.

Thus, the appropriate transformations that can be used to map one triangle onto the other are:

1. Reflection only
2. Rotation then translation

So, the answer is:

• Reflection only
• Rotation, then translation