Chapter 5 5 3 Inequalities in One Triangle

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

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 sorter 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.

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.

p. 364 The Triangle Inequality

p. 364 The Triangle Inequality

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.