To determine which transformation is not a rigid transformation, we first need to understand what rigid transformations are. Rigid transformations include translations, rotations, and reflections. These transformations preserve the shape and size of the figure, meaning the resulting figure is congruent to the original.
The transformations that do not maintain congruence (and thereby are not rigid transformations) include:
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Dilations: These transformations resize the figure, either enlarging or reducing it. The shape remains similar but is not congruent to the original.
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Skewing or Shearing: These transformations alter the angles and possibly the lengths of the sides, resulting in a non-congruent shape.
If you can specify or describe the four triangles and their transformations, I can help identify which one is not a rigid transformation.