Answer:
Definition, Corollary, Postulate and Theorem
Step-by-step explanation:
The correct answers are:
- Definition: A definition provides the precise meaning of a geometric term or concept. It lays the groundwork for understanding and using other geometric ideas.
- Postulate: A postulate is a statement that is accepted as true without proof. It serves as a fundamental building block for geometric reasoning.
- Theorem: A theorem is a statement that has been proven to be true based on definitions, postulates, and other theorems. It represents a significant conclusion or result within geometry.
- Corollary: A corollary is a statement that follows directly from a theorem, often as a simpler or more specialized case. It doesn't require its own separate proof, as it's inherently true due to the established theorem.
Here's why the other option is not applicable:
- Contradiction: A contradiction is a statement that is logically inconsistent or impossible. It's used in indirect proofs to demonstrate that a certain assumption must be false, but it doesn't directly explain a statement in a geometric proof.