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"The intersection of two planes is a line" is a statement that is generally accepted as true, but cannot be proven to be true. What type of statement is this?

"The intersection of two planes is a line" is a statement that is generally accepted as true, but cannot be proven to be true. What type of statement is this?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Question:** "The intersection of two planes is a line" is a statement that is generally accepted as true, but cannot be proven to be true. What type of statement is this? - ○ proof - ○ undefined - ○ postulate - ○ defined **Explanation:** This is a multiple-choice question aimed at identifying the type of mathematical statement described. A postulate is a statement that is accepted as true without proof. Therefore, the correct answer is "postulate." The question encourages understanding of basic geometric definitions and foundational concepts in mathematics, where some statements are accepted as given or self-evident truths to build further logical reasoning and proofs.
Transcribed Image Text:**Question:** "The intersection of two planes is a line" is a statement that is generally accepted as true, but cannot be proven to be true. What type of statement is this? - ○ proof - ○ undefined - ○ postulate - ○ defined **Explanation:** This is a multiple-choice question aimed at identifying the type of mathematical statement described. A postulate is a statement that is accepted as true without proof. Therefore, the correct answer is "postulate." The question encourages understanding of basic geometric definitions and foundational concepts in mathematics, where some statements are accepted as given or self-evident truths to build further logical reasoning and proofs.
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