In rigid transformations, the lengths of the sides of the original figure are preserved in the new figure, making Triangle MNQ congruent to Triangle JKL.
So, if the first is a translation of vertex L to vertex Q, then a rotation about point L must continue, so that, Triangle MNQ is congruent to Triangle JKL.
The second transformation is a rotation around (point) L.
Explanation:
Generally, a rigid transformation is used to change only the position of a figure while the shape remains the same. In order to map a triangle (ΔJKL) to another triangle (ΔMNQ), two rigid transformations were employed. In the first transformation, the vertex L was mapped to the vertex Q. Therefore, the second transformation will definitely involve the rotation around (point) L. This will complete the two rigid transformations.