Final answer:
A rigid transformation is a transformation that preserves the shape and size of an object. It includes translations, rotations, and reflections. Without specific information about the coordinates or measurements of the triangles, it is not possible to determine if a rigid transformation exists.
Step-by-step explanation:
A rigid transformation is a transformation that preserves the shape and size of an object. It includes translations, rotations, and reflections. In order for triangle ΔABC to be mapped to triangle ΔDEC, there must be a combination of translations, rotations, and reflections that can bring the two triangles into congruence.
However, without specific information about the coordinates or measurements of the vertices of the triangles, it is not possible to accurately determine if a rigid transformation exists that can map ΔABC to ΔDEC.