Now, suppose we decide to work in Hyperbolic Geometry. What do we know about angle ACD elative to the angles at A and B, e.g., what can be said about an exterior angle relative to its pposite interior angles? How do you know so? (In other words, informally justify your claim.) Let AABC be given, and suppose D is a point on BC such that B - C - D. Then ZACD is called an exterior angle of the given triangle. The angles at A and B of AABC are called opposite interior angles of ZACD. ( EXTERIOR ANGLE OF A TRIANGLE Figure 3.27 D

Now, suppose we decide to work in Hyperbolic Geometry. What do we know about angle ACD elative to the angles at A and B, e.g., what can be said about an exterior angle relative to its pposite interior angles? How do you know so? (In other words, informally justify your claim.) Let AABC be given, and suppose D is a point on BC such that B - C - D. Then ZACD is called an exterior angle of the given triangle. The angles at A and B of AABC are called opposite interior angles of ZACD. ( EXTERIOR ANGLE OF A TRIANGLE Figure 3.27 D

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.3: Informal Geometry And Measurement

Problem 29E: On a piece of paper, use your compass to construct a triangle that has two sides of the same length....

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