Geometry is the branch of mathematics which involves the exploration of location, and the shape, size and properties of objects.
Geometric reasoning is the use of critical thinking, logical argument and spatial reasoning to solve problems and find new relationships. Students must first have a critical understanding of any underlying assumptions and relationships. This allows them to develop coherent knowledge and apply their reasoning skills.
The purpose of geometric reasoning is to determine results from previously established truths and to then apply these results in the solution of problems. It can also be used to verify or prove results.