36. Q is between P and R. S is between Q and R, and R_ is between Q and T. PT = 34, QR = 8, and PQ = SQ = SR. What is the length of RT? 9 10 18 22 _
_
37. C is the midpoint of AD . B is the midpoint of AC. BC = 12. _ What is the length of AD? 12 24 36 _
�
�
�
�
48
_
38. Which expression correctly states that XY is congruent to VW? _ _ _ _ XY ≅ VW XY ≅ VW XY = VW 39. A, B, C, D, and E are collinear points. AE = _ 34, BD = 16, and AB = BC = CD. What is the length of CE? 10 16 18
XY = VW �
�
�
�
�
24
CHALLENGE AND EXTEND 40. HJ is twice JK. J is between H and K. If HJ = 4x and HK = 78, find JK.
Sports
41. A, D, N, and X are collinear points. D is between N and A. NA + AX = NX. Draw a diagram that represents this information. Sports Use the following information for Exercises 42 and 43. The table shows regulation distances between hurdles in women’s and men’s races. In both the women’s and men’s events, the race consists of a straight track with 10 equally spaced hurdles.
Joanna Hayes, of the United States, clears a hurdle on her way to winning the gold medal in the women’s 100 m hurdles during the 2004 Olympic Games.
Event
Distance of Race
Distance from Start to First Hurdle
Distance Between Hurdles
Women’s
100 m
13.00 m
8.50 m
Men’s
110 m
13.72 m
9.14 m
Distance from Last Hurdle to Finish
42. Find the distance from the last hurdle to the finish line for the women’s race. 43. Find the distance from the last hurdle to the finish line for the men’s race. 44. Critical Thinking Given that J, K, and L are collinear and that K is between J and L, is it possible that JK = JL? If so, draw an example. If not, explain.
SPIRAL REVIEW Evaluate each expression. (Previous course) 45. ⎜20 - 8⎟
46. ⎜-9 + 23⎟
47. -⎜4 - 27⎟
Simplify each expression. (Previous course) 48. 8a - 3(4 + a) - 10
49. x + 2(5 - 2x) - (4 + 5x)
Use the figure to name each of the following. (Lesson 1-1) 50. two lines that contain B
�
�
51. two segments containing D 52. three collinear points
�
�
53. a ray with endpoint C 1- 2 Measuring and Constructing Segments
19