Which of the following can be used to explain a statement in a geometric proof? Check all that apply. Definition, Corollary, Postulate, Theorem, Contradiction?

Which of the following can be used to explain a statement in a geometric proof Check all that apply Definition Corollary Postulate Theorem Contradiction class=

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Answer:

Corollary, Theorem, Postulate, Definition

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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.