5-3 Inequalities in One Triangle5-4 Indirect proof

5-5 The triangle Inequality5-6 Inequality in two triangles.

Chapter 5

Summary (5-1, 5-2)

Summary page 339

Inequalities in One Trianglep. 344

Inequalities in One Triangle

Exterior angle inequalityThe measure of an exterior angle of a triangle is greater than the measure of either of its corresponding remote interior angles.

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.

Theorem 5.9 page 346 Theorem 5.10 page 346

Theorem 5.8 page 345

Indirect proofp. 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)

Indirect proofp. 355

Example 2 page 356. Geometry book.

The Triangle Inequalityp. 364

The Triangle Inequalityp. 364

Inequality in Two Trianglesp. 371

Classwork/Homework.

From WorkbookCW- 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.