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1) Consider the following: A D A B Let 8 denote the defect of a triangle. One of the following two statements can be proved in Neutral Geometry and the other cannot. Prove the one that can be proved and explain why the other cannot be proved in Neutral Geometry: S: 8(ACD) < 8(ABC) T: 8(ACD) ≤ 8(ABC)

1) Consider the following: A D A B Let 8 denote the defect of a triangle. One of the following two statements can be proved in Neutral Geometry and the other cannot. Prove the one that can be proved and explain why the other cannot be proved in Neutral Geometry: S: 8(ACD) < 8(ABC) T: 8(ACD) ≤ 8(ABC)

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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1) Consider the following: A D B Let 8 denote the defect of a triangle. One of the following two statements can be proved in Neutral Geometry and the other cannot. Prove the one that can be proved and explain why the other cannot be proved in Neutral Geometry: S: 8(ACD) < 8(ABC) T: 8(ACD) ≤ 8(ABC)
Transcribed Image Text:1) Consider the following: A D B Let 8 denote the defect of a triangle. One of the following two statements can be proved in Neutral Geometry and the other cannot. Prove the one that can be proved and explain why the other cannot be proved in Neutral Geometry: S: 8(ACD) < 8(ABC) T: 8(ACD) ≤ 8(ABC)
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