2. Welcome to Interactive Chalkboard Glencoe Geometry Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Developed by FSCreations, Inc., Cincinnati, Ohio 45202 Send all inquiries to: GLENCOE DIVISION Glencoe/McGraw-Hill 8787 Orion Place Columbus, Ohio 43240

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4. Contents Lesson 5-1Bisectors, Medians, and Altitudes Lesson 5-2Inequalities and Triangles Lesson 5-3Indirect Proof Lesson 5-4The Triangle Inequality Lesson 5-5Inequalities Involving Two Triangles

5. Lesson 4 Contents Example 1Identify Sides of a Triangle Example 2Determine Possible Side Length Example 3Prove Theorem 5.12

6. Example 4-1a Answer: Because the sum of two measures is not greater than the length of the third side, the sides cannot form a triangle. Determine whether the measures and can be lengths of the sides of a triangle.

7. Example 4-1b Determine whether the measures 6.8, 7.2, and 5.1 can be lengths of the sides of a triangle. Check each inequality. Answer: All of the inequalities are true, so 6.8, 7.2, and 5.1 can be the lengths of the sides of a triangle.

8. Determine whether the given measures can be lengths of the sides of a triangle. a. 6, 9, 16 b. 14, 16, 27 Example 4-1c Answer: no Answer: yes

9. Example 4-2a A 7B 9C 11D 13 Multiple-Choice Test Item In andWhich measure cannot be PR?

10. Example 4-2a Read the Test Item You need to determine which value is not valid. Solve the Test Item Solve each inequality to determine the range of values for PR.

11. Example 4-2a Graph the inequalities on the same number line. The range of values that fit all three inequalities is

12. Example 4-2a Examine the answer choices. The only value that does not satisfy the compound inequality is 13 since 13 is greater than 12.4. Thus, the answer is choice D. Answer: D

13. Example 4-2b A 4B 9C 12D 16 Answer: D Multiple-Choice Test Item Which measure cannot be XZ?

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