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

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 7-1 Geometric Inequalities A) Inequalities for Numbers, Segments and Angles a. Definition i. If AB D CD , then AB D CD ii. Or 1. One segment is less than or shorter than another if its length is less b. Definition i. If m D Am D B , then ii. Or A B 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 x y 1. x y x= y b. Transitive property i. If x D y and y D z , then x Dz c. Addition Property i. If a D b and x y , then a + x b+ y d. Multiplication Property i. If x D y and a 0 , then ax D ay e. Theorem 2-2 i. If a = b + c and c 0 , then a b C) Theorem 7-1 (The Parts Theorem) 1) If D is a point on AB between A and B, then AB AD and AB DB 2) If D is a point in the interior of ABC DBC D ABC , then ABC ABD and "The whole is greater than any one of its parts" ...
View Full Document

This note was uploaded on 05/16/2011 for the course ALGEBRA 098 taught by Professor Johnson during the Spring '09 term at Grand Valley State University.

Page1 / 2

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online