Question

here are 4 triangles that have each been transformed by a different transformation. which transformation is not a rigid transformation?

Explanation:

A rigid transformation (also called an isometry) is a transformation of the plane that preserves length. This includes translations, rotations, and reflections. In option D, the size of the triangle has changed (as one can observe the relative lengths of the sides between the original triangle \(ABC\) and the transformed triangle \(A'B'C'\) are not the same), which means it is a non - rigid transformation (a dilation is a non - rigid transformation which changes the size). In options A, B, and C, the triangles appear to have the same size (the lengths of the sides of the original and transformed triangles are preserved), so they are likely rigid transformations (could be rotations, reflections, or translations).

Answer:

D.