1. Midsegments of Triangles
GEOMETRY LESSON 5-1
Pages Exercises
1. 9
2. 7
3. 14
4. 23
5. 11
6. 2
7. 40
8. 50
9. 160
10. 80
11. UW TX; UY VX;
YW TV
12. GJ FK; JL HF;
GL HK
13. a. ST PR; SU QR;
UT PQ
b. m QPR = 40
14. FE
15. FG
16. AB
17. EG
18. AC
19. CB
20. a ft.
b ft. 1 2
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2. Midsegments of Triangles
GEOMETRY LESSON 5-1
21. a. 114 ft. 9 in.
b. Answers may vary. Sample: The highlighted segment is the midsegment of the triangular face of the building.
22. 60
23. 45
25. 55
26. a. H(2, 0); J(4, 2)
26. (continued)
b. Slope of HJ = = 1;
Slope of EF = = 1;
therefore HJ EF.
c. HJ = = 8 = ;
EF = = = ;
therefore HJ = EF.
27. 18
28. 37
29. 60 2 4 1
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3. Midsegments of Triangles
GEOMETRY LESSON 5-1
30. 50
31. 10
32. x = 6; y = 6 cm
34. 52
35. x = 3; DF = 24
36. x = 9; EC = 26
37. Answers may vary. Sample: Draw CA and extend CA to P
37. (continued)
so that CA = AP. Find B, the midpt. Of PD. Then, by the Midsegment Thm., AB CD and AB =
CD.
38. G(4, 4); H(0, 2); J(8, 0)
UTS; Proofs may vary; Sample: VS SY,
YT TZ, and VU UZ because S, T, and U are
midpts. of the respective sides; ST = VZ so
ST VU UZ; SU = YZ so SU YT TZ;
and TU = VY so TU SY SV; therefore
YST TUZ SVU UTS by SSS. 1 2 1 2 1 2 1 2 1 2
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4. Midsegments of Triangles
GEOMETRY LESSON 5-1
43. 70
44. 40
45. 70
46. 40
SXT TYS; SAS
y = x + 2
y = 3x – 2
51.
ADC EBC; ASA
KLQ PNR; HL
50.
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5. Midsegments of Triangles
GEOMETRY LESSON 5-1
52.
y = –x – 5
53. 46
54. 35
55. 40 2 3
5-1