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Which of the following can be used to explain a statement in a geometric proof? Check all that apply.A.PostulateB.CorollaryC.DefinitionD.ConjectureE.TheoremSUBMITarrow_backPREVIOUS

Question

Which of the following can be used to explain a statement in a geometric proof? Check all that apply.A.PostulateB.CorollaryC.DefinitionD.ConjectureE.TheoremSUBMITarrow_backPREVIOUS

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Solution

All of the options A, B, C, and E can be used to explain a statement in a geometric proof.

A. Postulate: A postulate is a statement that is assumed to be true without proof. It is a basic assumption in geometry and is used as a starting point for further reasoning.

B. Corollary: A corollary is a statement that follows readily from a previous statement. In a geometric proof, a corollary is often used to expand on a theorem or postulate.

C. Definition: Definitions are fundamental in geometry and are used to describe geometric figures and their properties. They provide the basic terms and concepts used in geometric proofs.

E. Theorem: A theorem is a statement that has been proven to be true. Theorems are often the end result of a geometric proof, but they can also be used within a proof to justify a statement.

D. Conjecture: A conjecture is a statement that is believed to be true but has not been proven. Therefore, it cannot be used to explain a statement in a geometric proof.

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