Chapter 5 5-3 Inequalities in One Triangle 5-4 Indirect proof 5-5 The triangle Inequality 5-6 Inequality in two triangles.

Summary (5-1, 5-2) Summary page 339

Inequalities in One Triangle p. 344 Inequalities in One Triangle

Inequalities in One Triangle Theorem 5.8 page 345 Exterior angle inequality The measure of an exterior angle of a triangle is greater than the measure of either of its corresponding remote interior angles. Theorem 5.9 page 346 Theorem 5.10 page 346 Angle-side relationships in triangles If one side of a triangle is longer than another side, then the angle opposite the longer side has a greater measure than the angle opposite the shorter side. If one angle of a triangle has a greater measure than another angle, then the side opposite the greater angle is longer than the side opposite the lesser angle.

Indirect proof p. 355 Indirect proofs can be used: To prove algebraic concepts (Example 2 page 356) In everyday situations (Example 3 page 356) To prove concepts in number theory (Example 4 page 357)

p. 355 Indirect proof Example 2 page 356. Geometry book.

The Triangle Inequality p. 364 The Triangle Inequality

The Triangle Inequality p. 364 The Triangle Inequality

Inequality in Two Triangles p. 371 Inequality in Two Triangles

Classwork/Homework. From Workbook CW- Skills Practice 5-3 Problems 1-10, Skills Practice 5-4 Problems 1 to 4, Skills Practice 5-5 Problems 1, 2, 9, 10, 17, Skills Practice 5-6 Problems 1 to 4. HW-Practice 5-3 Problems 1 to 12, Practice 5-4 Problems 1 and 2, Practice 5-5 Problems 1 to 12, Practice 5-6 Problems 1 to 4.