In geometry, you can use deductive rules to derive conclusions from previously established statements and axioms. Deductive reasoning allows you to build a logical argument where the truth of the premises guarantees the truth of the conclusion.
For instance, if you know that all squares are rectangles (a known fact in geometry), and you have been given that a particular shape is a square, you can deduce that this shape must also be a rectangle. This process of starting with general principles to draw specific conclusions is fundamental to geometric proof and problem-solving.
Furthermore, deductive reasoning helps in proving properties of geometric figures, validating theorems, and solving problems with a clear logical structure. Utilizing axioms, postulates, and previously proven theorems forms the basis of a coherent mathematical argument, guiding you through complex geometrical relationships systematically.