# Chapter7 - Triangle Inequalities Triangle Inequalities Â...

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Unformatted text preview: Triangle Inequalities Triangle Inequalities Â§ 7.1 Segments, Angles, and Inequalities 7.1 Segments, Angles, and Inequalities Â§ 7.4 Triangle Inequality Theorem 7.4 Triangle Inequality Theorem Â§ 7.3 Inequalities Within a Triangle 7.3 Inequalities Within a Triangle Â§ 7.2 Exterior Angle Theorem 7.2 Exterior Angle Theorem Segments, Angles, and Inequalities Segments, Angles, and Inequalities Yo u will le a rn to a pply ine q ua litie s to s e g m e nt a nd a ng le m e a s ure s . 1) Ine q ua lity Inequalities Segments, Angles, and Inequalities Segments, Angles, and Inequalities The Comparison Property of Numbers is used to compare two line segments of unequal measures. The property states that given two unequal numbers a and b , either: a < b o r a > b The same property is also used to compare angles of unequal measures. T U 2 c m V W 4 c m The length of is less than the length of , or TU < VW TU VW Segments, Angles, and Inequalities Segments, Angles, and Inequalities J 133Â° K 60Â° The measure of J is greater than the measure of K. The statements TU > VW and J > K are called __________ because they contain the symbol < or >. ine q ua litie s Postulate 7 â€“ 1 Comparison Property For any two real numbers, a and b , exactly one of the following statements is true. a < b a = b a > b Segments, Angles, and Inequalities Segments, Angles, and Inequalities 6 4 2-2 S D N Replace with < , > , or = to make a true statement. SN DN 6 â€“ (- 1) 6 â€“ 2 7 4 > > Lesson 2-1 Finding Distance on a number line. Segments, Angles, and Inequalities Segments, Angles, and Inequalities Theorem 7 â€“ 1 If point C is between points A and B, and A, C, and B are collinear, then ________ and ________....
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## This note was uploaded on 02/12/2011 for the course MTG 3212 taught by Professor Jackson during the Spring '11 term at University of Florida.

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Chapter7 - Triangle Inequalities Triangle Inequalities Â...

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