Geometric constructions are methods used to create geometric figures using only a compass and a straightedge. These constructions help in understanding the properties of shapes and their relationships. Common tasks include drawing lines, angles, circles, and polygons without measuring lengths or angles. These techniques date back to ancient civilizations, including the work of mathematicians like Euclid and Archimedes. Geometric constructions are foundational in fields such as geometry, architecture, and engineering, as they provide a way to visualize and solve problems related to space and form.