Classical geometry is built upon precise notions of points, distances, and geometric loci. But what happens when points are no longer precisely determined? In this talk, we explore how fuzzy set theory provides a framework for extending some familiar concepts of classical geometry. Starting from the notion of a fuzzy point, we discuss the construction of geometric loci, including fuzzy equidistant sets, fuzzy conics, and fuzzy Voronoi diagrams, highlighting both their connections with classical geometry and the new phenomena that arise from uncertainty. We conclude by presenting some open problems and possible directions for further research in fuzzy geometry.