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Name: ____________________________________________ Chapter 5 Test Review (5.2, 5.3, 5.6, 5.7) Sections 5.2 & 5.3 Find the value of the unknown variables in each diagram. 1. 2. 3. 4. Determine whether A must be on the bisector of LMN. Explain. 5. 1 6. Name: ____________________________________________ For #7-9, name the point of concurrency of the angle bisectors. 7. 8. Point ________ 9. Point ________ For #10-11, find the coordinates of the circumcenter of each triangle. 10. 11. A (1, 3) B (4, 3) C (4, 2) For #12-15, find the value of x. 12. 14. 2 13. 15. Point ________ Name: ____________________________________________ Use the figure at the right for Exercises 16–19. 16. Find the value of x. 17. Find the length of AD. 18. Find the value of y. 19. Find the length of EG. Section 5.6 20. Explain the relationship between the angles? Which is biggest and how do you know? For exercises 21-23, list the angles of the triangle in order from smallest to largest. 21. 22. 23. ∆XYZ, where XY = 25, YZ = 11, and XZ = 15 For #24-25, list the angles from largest to smallest. 24. 3 25. Name: ____________________________________________ Can a triangle have sides with the given lengths? Explain. 26. 10 in., 13 in., 18 in. 27. 6 m, 5 m, 12 m 28. 11 ft, 8 ft, 18 ft The lengths of two sides of a triangle are given. Find the range of possible lengths for the third side. 29. 4, 8 30. 13, 8 Section 5.7 Write an inequality relating the given side lengths. If there is not enough information to reach a conclusion, write no conclusion 31. AB and CB 32. JL and MO 36. Two identical laptops are shown at the right. In which laptop is the distance from the top edge of the screen to the front edge of the keyboard greater? Explain. 4 33. Name: ____________________________________________ Find the range of possible values for each variable. 37. 38. 39. The diagram shows two paths that lead through a park. Would a jogger run a greater distance on Path A or Path B? Explain. Write an inequality relating the given angle measures. 40. mM and mR 5 41. mU and mX Name: __________________________________________ Mods: __________ Date: ________________ 6