1. It seems you are asking about the methods used in solving a problem or in mathematics in general. 2. Geometric reasoning involves understanding properties and relationships of shapes and figures using logical deduction. 3. Geometric construction is the process of creating geometric figures using tools like a compass and straightedge. 4. Measurement refers to quantifying dimensions such as length, area, volume, or angles using standard units. 5. Each method serves different purposes: reasoning helps prove theorems, construction helps create precise figures, and measurement helps determine numerical values. 6. Without a specific problem, it's hard to say which method was used, but often geometry problems use a combination of these.