Proofs Study Guide | CK-12 Foundation
Geometry Big Picture Mathematical reasoning and proofs are a fundamental part of geometry. Several tools used in writing proofs will be covered, such as reasoning (inductive/deductive), conditional statements (converse/inverse/contrapositive), and congruence properties. The purpose of a proof is to prove that a mathematical statement is true. Key Terms Proof: A logical argument that uses logic, definitions, properties, and previously proven statements to show a statement is true. Definition: A statement that describes a mathematical object and can be written as a biconditional statement. Postulate: Basic rule that is assumed to be true. Also known as an axiom. Theorem: Rule that is proven using postulates, definitions, and other proven theorems. Congruent: When two geometric figures have the same shape and size. Algebraic Proofs Solving an algebraic equation is like doing an algebraic proof. Algebraic proofs use algebraic properties, such as the properties of equality and the distribut...