Proofs in Geometry

Proofs in geometry are logical arguments that demonstrate the truth of geometric statements. They use definitions, properties, and previously established theorems to show that a conclusion follows from given statements. For example, to prove that the angles in a triangle add up to 180 degrees, one might use parallel lines and transversals to create relationships between angles. Proofs can be presented in various forms, such as two-column proofs or paragraph proofs, and they help ensure mathematical accuracy, deepen understanding, and provide a structured way to validate conclusions in geometry.