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Answers for Chapter 6, p. 695 Extra Practice (cont.)
Answers for Chapter 6, p. 695 Extra Practice
2.1.
4.3.
5. x = 12; y = 84 6. x = 30; y = 55
7. x = 8; y = 25 8. x = 1; y = 7
9. yes 10. yes 11. no 12. Yes
13. square; m∠1 = 45, m∠2 = 45
14. rhombus; m∠1 = 50, m∠2 = 90, m∠3 = 40, m∠4 = 40
15. parallelogram;m∠1 = 45, m∠2 = 45,m∠3 = 80, m∠4 = 55
16. rectangle; m∠1 = 116, m∠2 = 64, m∠3 = 32, m∠4 = 58
17. m∠1 = 110, m∠2 = 25 18. m∠1 = 90, m∠2 = 23
19. m∠1 = 110, m∠2 = 70 20. m∠1 = 70, m∠2 = 70
21. D(0, b); S(a, 0) 22. D(0, b);S(–a, 0)
23. D(–c, 0); S(0, –b) 24. D(0,2a); S(0, –2a)
25. Given: Square DRSQ with K, L, M, N midpts. of
respectively. Prove: KLMN is a square.
K(a, a), L(a, –a), M(–a, –a), and N(–a, a) are midpts. of the sides of the square. KL = LM = MN = NK = 2a.The slopes of
are undefined. The slopes of and are0, so adj. sides are ⊥to each other. Since all are rt. thequad. is a rectangle. A rectangle with all ≅ sides is a square.
Answers for Chapter 7, p. 696 Extra Practice
1. 15 ft; 10.825 ft2 2. 16 m; 12 m2
3. 50 ft; 143 ft2 4. 47 m; 102 m2
5. 15 6. 5√3
7. 3√5 8. 3√2
9. 72 cm2 10. 15 in2
11. mm2 12. 32 ft2
13. 6 π cm; 2 π cm 14. 20 π ft; 53
π ft
15. 18 π cm; 92
π cm 16. 10 π in; 254
π in
17. 49 π3 ft2 18. (12 π−9√3) in2
19. 81 π8 cm2 20. (4 π−8 ) m2
21 14
22. 13
23. 1− π4
24. 724
Answers for Chapter 9, p. 698 Extra Practice
1. 5.6 2. 29
3. 11.0 4. 9.4
5. 49 6. 507. 7.2 8. 49
9. 653 ft 10. 139 ft
11. 78 ft 12. 2000 ft
13. a.⟨ – 49,142 ⟩ , ⟨38,47 ⟩ 14. a. ⟨ – 118 , – 55 ⟩, ⟨ 86,110 ⟩
b. ⟨ – 11,189 ⟩ b. ⟨ – 32,55 ⟩
15. a. ⟨ – 54,72 ⟩, ⟨ – 95 , – 33 ⟩ 16. a. ⟨ – 21 , – 56 ⟩, ⟨ 27 , – 64 ⟩
b. ⟨ – 149,39 ⟩ b. ⟨ 6 , – 120 ⟩
17. 30.1 ft2 18. 78.0 in.2
19. 43.2 cm2 20. 20 m2
21. 31.2 ft2 22. 70.7 ft2
Answers for Chapter 10, p. 699 Extra Practice
in.3, 1 in.3; in.2, 3 in.2
22. m
3, 382 m3; 81 m2, 254 m2
23. m
3 24. in.3
25. ft
3 26. 4:9; 8:27
27. 5:8; 125:512 28. 3:4; 9:16
17. cm3,524 cm3; 100 cm2, 314 cm2
18. 36 ft3, 113 ft3; 36 ft2, 113 ft2
19. in.3,268 in.3; 64 in.2, 201 in.2
20. ft
3, 4 ft3 ; 4 ft2 , 13 ft2
Answers for Chapter 11, p. 700 Extra Practice
1. 65 2. 103. 6 4. 2√3
5. 14.8 6. 5.2
7. 5.3 8. 20
9. a = 154; b = 76
10. a = 38; b = 52; c = 104; d = 90
11. a = 105; b = 100
12. a = 55; b = 72; c = 178; d = 89
13. x = 193; y = 60.5
14. x = 5.6
15. x ≈ 10.4 16. x = 70
17. x = 112.5; y = 67.5 18. x = 11.5
19. x = 42.5 20. x ≈ 5.6; y ≈ 11.9
21. x2 + y2 = 16 22. x2 + (y - 5)2 = 9
23. (x – 9)2 + (y + 3)2 = 49 24. (x + 4)2 + y2 = 37
25. (x + 6)2 + (y + 2)2 = 13 26. (x + 1)2 + (y + 3)2 = 9
Answers for Chapter 12, p. 701 Extra Practice (cont.)
1. S′(6,9), U′(2, 5), B′(-1,8) 2. S′(7,1), U′(12, 5), B′(15,2)3. S′(6,-3), U′(2, -7), B′(-1,-4) 4. S′(6,-1), U′(2, -5), B′(-1,-2)5. S′(1,6), U′(5,2), B′(2,-1) 6. S′(-8,1), U′(-4,5), B′(-1,2)7. S′(6,5), U′(2, 1), B′(-1,4) 8. S′(-6,1), U′(-2, 5), B′(1,2)9. E 10. ⟨−2,4 ⟩
11. C 12. ⟨ 4 ,−2 ⟩
13. G 14. ⟨−8,0 ⟩
15. A' (–5,9), B'(–3,3), C'(–1,10)
16. E' (1,0),F'(7, – 4), G'(5, –1)
17. P'(–15, –11), Q'(–11, – 6),R'(–4,1)
22. rotation 23. dilation
24. translation 25. glide reflection
26. line, rotation, point 27. line
28. line 29. line