1. 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt Midsegments of Triangles Perpendicular and Angle Bisectors Bisectors in Triangles Medians And Altitudes Inequalities in Triangles

2. Name the triangle side that is parallel to AB.

3. What is YZ?

4. Points J, K, and L are the midpoints of the sides of triangle XYZ. Find JK and JL.

5. What is JK = 7 and JL = 10?

6. Find the value of x.

7. What is x = 17?

8. Find the value of x.

9. What is x = 10? 2(3x) = 4x + 20 6x = 4x + 20 2x = 20 x = 10

10. Find the value of x.

11. What is x = 3? 2(2x) = x + 9 4x = x + 9 3x = 9 x = 3

12. Find the value of x.

13. What is x = 4? 4x = 3x + 4 x = 4

14. Find the values of AB and BC.

15. What is AB = 16 and BC = 16? 4x = 3x + 4 x = 4 AB = 4(4) = 16 BC = 4(3) + 4 = 16

16. Find x, BA, and BC.

17. What is x = 6, AB = 16, and BC = 16? 3x – 2 = 2x + 4 x – 2 = 4 x = 6 AB = 3(6) – 2 = 16 BC = 2(6) + 4 = 16

18. Find x and IK.

19. What is x = 3 and IK = 18? 3x = x + 6 2x = 6 x = 3 IK = 3x + x + 6 = 4x + 6 = 4(3) + 6 = 18

20. Find x, the measure of angle UWV, and the measure of angle UWT.

21. What is x = 4, measure of angles UWV and UWT = 20°? 3x + 8 = 4x + 4 8 = x + 4 4 = x

22. Name the point of concurrency of the angle bisectors.

23. What is point I?

24. Name the point of concurrency of the angle bisectors.

25. What is point U?

26. Find the value of x.

27. What is x = 3? 2x = x + 3 x = 3

28. Find the value of x.

29. What is x = -1? x + 5 = 3x + 7 -2x + 5 = 7 -2x = 2 x = -1

30. Find the value of x.

31. What is x =.25? 5x + 7 = x + 8 4x + 7 = 8 4x = 1 x =.25

32. In triangle ABC, X is the centroid. If CW = 15, find CX and XW.

33. What is CX = 10 and XW = 5?

34. In triangle ABC, X is the centroid. If BX = 8, find BY and XY.

35. What is BY = 12 and XY = 4?

36. In triangle ABC, X is the centroid. If XZ = 3, find AX and AZ.

37. What is AX = 6 and AZ = 9?

38. Name the orthocenter.

39. What is point H?

40. Name the orthocenter.

41. What is point Y?

42. List the angles of each triangle in order from smallest to largest.

43. What is angle Z, angle X, angle Y?

44. List the sides of each triangle in order from longest to shortest.

45. What is MN, NO, MO?

46. Determine if a triangle can have sides with the given lengths. Explain. a.) 8 cm, 7 cm, 9 cm b.) 7 ft., 13 ft., 6 ft. c.) 3 m, 11 m, 7 m

47. a.) Yes, 8 + 7 > 9, 7 + 9 > 8, 9 + 8 > 7. b.) No, 7 + 6 = 13. c.) 3 + 7 < 11

48. Write an inequality relating the given side lengths. Explain. BA and BC

49. What is BA > BC because 93° > 87°?

50. Find the range of possible values for each variable.

51. What is 8 < x < 26? 2x – 16 0 2x 16 x 8