0290_Geo_07_SEAT_EP.qxd · Web view695 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 1 0. yes 1 1. no 12. Yes 13. square;

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.


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


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


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


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



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


Documents

0290_Geo_07_SEAT_EP.qxd · Web view695 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 1 0. yes 1 1. no 12. Yes 13. square;