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7.2 - Copy - 7-1 Geometric Inequalities A Inequalities for...

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7-1 Geometric Inequalities A) Inequalities for Numbers, Segments and Angles a. Definition i. If CD AB D , then CD AB D ii. Or 1. One segment is less than or shorter than another if its length is less b. Definition i. If B m A m D D , then B A ii. Or 1. One angle is less than or shorter than another if its measure is less B) A review of some properties and a theorem a. Trichotomy Property (also called the Comparison Property) i. For every x and y only one of the following holds 1. y x y x y x = ° b. Transitive property i. If y x D and
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