1. Warm-up

3. Agenda Homework Review Section 5-6 Thursday – Review (bring books) Friday – Chapter 5 Test

4. 5-4 Study Guide

6. 5-4 Practice

8. 5-5 Triangle Inequalities If two sides of a triangle are 5 and 12 what are the possible values for the size of the third side? 5 12 ? 5 ? 7 < X < 17

9. 5-5 Study Guide

10. 5-5 Practice

13. Inequalities Involving Two Triangles

17. Given: m  P > m  R Prove: m  2 > m  1 1. 2. 3. 4. 5. 1. 2. 3. 4. 5.

18. Given: m  P > m  R Prove: m  2 > m  1 1. 2. 3. 4. 5. 1. Given 2. Reflexive property 3. Given 4. Larger  implies larger side 5. SSS Inequality

19. Given: Points A, B and C are on line l Point P is not on l PB < PC Prove: m  PCB  90 P ABC 1. 2. 3. 4. l

20. Given: Points A, B and C are on line l Point P is not on l PB < PC Prove: m  PCB  90 P ABC 1.Assume  PCB = 90 2.Then PC  l 3.  PC < PB (Contradiction) 4.   PCB  90 l

21. Practice Quiz

22. Answers Ahead

23. 5-6 Study Guide

24. 5-6 Practice

27. Homework Study Guide & Practice 5-6 Practice Quiz 5-3