1. F

2. U, V, and W are midpoints. If UV = 2x – 4 and RT = 3x – 3, find RT.

3. 12

4. UV, VW, and UW are midsegments. If VW = 26, then SU =?

5. 26

6. UV, VW, and WU are midsegments. Find the length of UW if SV = 6x – 5 and VT = 4x + 1.

7. 13

8. Segment KM is a median. If JM = 4x + 5 and ML = 9x, find JL. K T M L J

9. 18

10. If segment KT is an altitude, find the value of y if angle KTM = 3y. K T M L J

11. 30

12. Segment KM is a median. If JT = 12, TM = 18 and ML = 3y + 3. Find the value of y. K T M L J

13. 9

14. Point O is which point of concurrency? O

15. centroid

16. Point O is which point of concurrency? A O C B

17. incenter

18. Point O is which point of concurrency?

19. circumcenter

20. Point O is which point of concurrency?

21. orthocenter

22. The incenter is the point of intersection of the ____________________ of a triangle.

23. angle bisectors

24. The circumcenter is the point of intersection of the ____________________ of a triangle.

25. perpendicular bisectors (of the sides)

26. The orthocenter is the point of intersection of the ____________________ of a triangle.

27. altitudes

28. The centroid is the point of intersection of the ____________________ of a triangle.

29. medians

30. Which side of ΔRST is the longest? S T R A. RS B. ST C. TR

31. A

32. List the sides in order from largest to smallest. S T R A. RS, RT, ST B. RT, ST, RS C. ST, RT, RS D. ST, RS, RT

33. C

34. Which angle of ΔRST is the smallest? A. B. C. All angles are the same D. R T S 19 14 20

35. D

36. A triangle has one side of length 8 meters and another side of length 3 meters. Which of the following describes the possible lengths of the third side? A. 5 < s < 8 B. 5 < s < 11 C. 3 < s < 5 D. 3 < s < 11

37. B

38. Point N is the incenter. NM = 7x + 5, NL = 9x – 5, and NK = y + 8. Find x and y

39. x = 5, y = 32

40. 1 2 3 4 Point N is the incenter. m 3 = 3y + 17 and m 4 = 8y - 23 Find m 3.

41. 41

42. Point M is the centroid. TM = 3x + 2 and TS = 5x. Solve for x.

43. 6

44. Point M is the centroid. AR = x, RT = 2x – 6, AS = 3y – 3, and SC = 12x + 45 Find x and y.

45. x = 6, y = 40

46. Point M is the centroid. CM = 2x and MR = 5x – 12. Find x.

47. 3

48. Line BD is the perpendicular bisector of segment AC. Solve for x. 3x+15 6x A B C D

49. 5

50. Line BD is the perpendicular bisector of segment AC. CB = 4y + 12 and BA = 8y. Find CA. A B C D

51. 48

52. Find ML. M N J K L 3y - 1 7y - 21 Line JN is the perpendicular bisector of segment MK.

53. 14

54. JK = 3y – 11 and JM = 7y – 39 Find JK. M N J K L Line JN is the perpendicular bisector of segment MK.

55. 10

56. T RP S 27 in26 in F. G. H. Given that, how does compare to ?

57. H

58. © G. H. Given that, how does compare to ? T RP S F. 20° 22°

59. G

60. & (2x + 2)° 74° 11 10 12 H. G. F. Use the Hinge Theorem or its converse and properties of triangles to write an inequality to describe a restriction on the value of x.