Geometric proofs are logical arguments that demonstrate the truth of geometric statements using definitions, postulates, and previously established theorems. They often involve visual representations, such as diagrams, to illustrate relationships between shapes, angles, and lines. In a geometric proof, each step is justified with a reason, which can include properties of shapes, congruence, or similarity. Common types of proofs include two-column proofs, paragraph proofs, and flowchart proofs, each providing a structured way to present the argument clearly and concisely.