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

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Presentation on theme: "Chapter 5 5-3 Inequalities in One Triangle 5-4 Indirect proof 5-5 The triangle Inequality 5-6 Inequality in two triangles."— Presentation transcript:

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

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

3 Inequalities in One Triangle
p. 344 Inequalities in One Triangle

4 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.

5 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)

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

7 The Triangle Inequality
p. 364 The Triangle Inequality

8 The Triangle Inequality
p. 364 The Triangle Inequality

9 Inequality in Two Triangles
p. 371 Inequality in Two Triangles

10 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.


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