Final answer:
The statement is false; in 3D modeling software, the Delete command removes selected vertices and their dependent geometry regardless of enclosure. Selection is manual or criteria-based and deleting a vertex also alters associated faces and edges.
Step-by-step explanation:
The statement "When using the Delete command to erase vertices, only the entities (including vertices and faces) completely enclosed will be selected and deleted" is false.
In most 3D modeling and computer graphics software, the Delete command will erase the selected vertices along with any faces and edges that are dependent on those vertices, regardless of whether they are completely enclosed or not. Moreover, selection of vertices is usually manual or based on specific criteria, but not necessarily on whether an entity is enclosed.
For instance, in software like Blender or Autodesk Maya, you can select individual vertices, edges, or faces manually, and when you delete them, the software will remove them along with their associated geometry. If a vertex is a part of a face, deleting the vertex will also alter or delete that face. Thus, it's crucial for users to be precise in their selection when deleting components to avoid unintended changes to the model.