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Section 6.1 Inequalities

This chapter dives into the fundamental concepts of inequalities through various examples and properties. By comparing the measures of angles and segments, you can draw conclusions using inequality signs such as <, >, or =. It covers key properties, including the relationships between segments when certain conditions are met, as well as the Exterior Angle Inequality Theorem. This theorem illustrates how the measure of an exterior angle is always greater than the measures of the two non-adjacent interior angles.

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Section 6.1 Inequalities

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  1. Section 6.1 Inequalities Examples of Inequality Signs – In this chapter, you will be making comparisons of the measures of __________ and _________ of a ∆. Z Complete each conclusion with < , > , or =. X Y a) Given: XY > XZ, XZ > ZY Conclusion:__________________ b) Given: m JSK + m KST = m JST J Conclusion: m JST _______ m JSK S K m JST ---------- m KST T

  2. Properties of Inequalities If ab and c then a + c ____________. If a d a/c _____ b/c. If If bc and a/c ______ b/c. If a = b + c and c 0, then a ____ b.

  3. Theorem 6-1 The Exterior Angle Inequality Theorem The measure of the of an exterior angle of a is ____________ than the measure of either _____________ angle. Ex) Find x. H x G E Look at CE on page 205.

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