What type of geometries refer to geometric representations of spatial data in a two-dimensional plane?

Planar geometries are indeed the correct answer because they specifically refer to geometric representations of spatial data constrained to a two-dimensional plane. This encompasses the basics of how spatial data is often visualized and analyzed in geographic information systems (GIS).

In planar geometries, features such as points, lines, and polygons are represented in a flat two-dimensional space, allowing for straightforward analysis and interpretation of spatial relationships, distances, and areas. This is fundamental to many applications in GIS, where data visualization and spatial representation are typically done on maps and diagrams that inherently operate within a two-dimensional context.

The other options do not align with the two-dimensional requirement. Networking geometries might imply connections or paths but don’t solely focus on two-dimensional spatial representation. Linear geometries typically reference one-dimensional features like lines or paths, which are also part of a planar system but not exclusively representative of the broader two-dimensional plane. Three-dimensional models involve an additional spatial dimension, thereby moving beyond the two-dimensional plane into the realm of 3D representations.