Why do geographers study relationships and patterns among and between places?

The reason the geographers' study relationships and patterns among and between places is that they need to determine whether the places share any common features. This allows them to conclude about the resemblance in the climatic conditions, vegetation, wildlife, drainage system, etc., of two or more distinct places.

Explanation:

The early studies of relationships and patterns among and between distinct places allowed the geographers to derive many conclusions about the authenticity of the continental drift theory. This propelled the geographers to carry out in-depth studies of relationships between distinct places. This provided geographers with not just the information regarding the physical features of such places, but also allowed them to find other common features related to the climatic conditions, vegetation, wildlife, drainage systems, etc.

geographers seek to understand where things are found, why they are there, and how they develop and change over time, also examining how human culture interacts with the environment, and they way locations and places can or have an impact on people.