The transformation that is not a rigid transformation is the first triangle ABC i.e option A.
Rigid transformation is the procedures required to resize or reshape a given object so as to produce the required image. The types of rigid transformation are: translation, reflection, dilation and rotation.
Considering the triangles in the given question, it can be observed that:
i. Triangle ABC compared with its image, has not obeyed the principle.
ii. Clockwise rotation of triangle ABC using point C would produce triangle A'B'C'.
iii. Reflection of triangle ABC using point C as the reference point would produce its image A'B'C'.
iv. Dilating each of the side length of triangle ABC with an appropriate representative fraction would produce the image A'B'C'.
Therefore, the only transformation that is not a rigid transformation is the first triangle ABC i.e option A.
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