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

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

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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