Question

9 which of the following can be used to explain a statement in a geometric proof? check all that apply. theorem corollary postulate definition contradiction

Explanation:

• Theorem: A proven statement that can be used to justify other statements in a proof.
• Corollary: A statement that follows directly from a theorem, so it can be used in explanations.
• Postulate (Axiom): A statement accepted as true without proof, serving as a basis for reasoning in proofs.
• Definition: Defines mathematical terms, and using definitions is essential to explain statements in geometric proofs (e.g., defining a triangle to explain properties of a triangle in a proof).
• Contradiction: Used in proof by contradiction (indirect proof) to show a statement is true by showing the opposite leads to a contradiction, so it can be part of explaining steps in such proofs.

Answer:

A. Theorem, B. Corollary, C. Postulate, D. Definition, E. Contradiction