Answer:
The correct answer is:
No. The sequence of transformations is NOT an isometry because it contains only non-rigid transformations.
Step-bye step explanation
An isometry is a transformation that preserves distances and angles between points. Rigid transformations, such as translations, rotations, and reflections, are examples of isometries because they do not change the shape or size of the figure.
In this case, the given sequence of transformations maps triangle ABC to triangle DEF. However, the sequence contains only non-rigid transformations, which means that the shape and size of the triangle change.
The transformation from (1, 2) to (3, -6) involves both a translation and a vertical stretch, which is a non-rigid transformation. Similarly, the transformations from (3, 2) to (5, -6) and from (2, 7) to (4, -1) also involve non-rigid transformations.
Since the sequence of transformations contains only non-rigid transformations, it is not an isometry.