The question is asking about a data format for ArcView GIS that uses three specific files to define the geometry and attributes of geographically referenced objects. Let's analyze the options given:
ArcInfo EOO: This is not a format associated with defining geometry and attributes using three specified files (main file, index file, database table).
Shapefiles: This format indeed uses three specific files:
- .shp - the main file that stores the geometry of each feature.
- .shx - the index file that stores the index of the geometry.
- .dbf - the database table that stores attribute data in dBASE format.
Thus, shapefiles define geometry and attributes using these three files.
ArcInfo Coverage: This is a different format used in GIS, which does not specifically rely on a main, index, and a database table file structure.
Computer Graphics Metafile: This is not related to the format used in ArcView GIS for defining geographic data as described.
Based on this analysis, the correct answer is "Shapefiles".