Answer Key

Lesson 10.1

Practice Level B

1. Sample answer: 2. Sample answer:

3. Sample answer: 4. Sample answer:

5. true 6. false 7. true 8. true

9. Sample answer: 10. Sample answer:

11. Sample answer:

12. 28 13. 117 14. 64 15. 24 16. 33

17. 16 18. 5 19. 3, −3 20. 1, 2 5 } 2 21. 14 ft

22. 1213.4 mi 23. 60 ft 24. 68 ft

Answer Key

Lesson 10.2

Practice Level B

1. minor arc 2. minor arc 3. semicircle

4. major arc 5. major arc 6. semicircle

7. minor arc 8. major arc 9. 428 10. 748

11. 2868 12. 1168 13. 3188 14. 1388

15. 2228 16. 2448 17. 1388 18. 1808

19. 7 Ï}

2 20. 10 Ï}

2 21. 1358 22. 2408

23. 2258 24. 1458 25. 3258 26. 1808

27. 2158 28. 158 29. 1808 30. 1958 31. 3458

32. no 33. yes 34. no 35. no 36. 248

37. 158 38. 128 39. 1708 40. 34 sec

Answer Key

Lesson 10.3

Practice Level B

1. 1228 2. 908 3. 22 4. 1158 5. 808 6. 1808

7. 1 8. 10 9. 4 10. 9 11. 4 12. 6 13. no

14. no 15. yes 16. no

17. Given; ∠ AED > ∠ AEB; Theorem 10.5; Reflexive property of segment congruence; SAS CongruencePostulate;

} AD > } AB ; Theorem 10.3

18. Given; } PT > }

QS ; Definition of radius; SSS Congruence Postulate

19. Show that all radii are equal, then use definition of measure of minor arc to show that ∠ PUT > ∠ QUS, then use SAS Congruence Postulate.

Answer Key

Lesson 10.4

Practice Level B

1. B 2. 588 3. 1408 4. 468 5. 638 6. 288

7. 1238 8. 908 9. 428 10. 588 11. 488

12. 588 13. 428 14. 968 15. 1808

16. x 5 14, y 5 38 17. x 5 58, y 5 29

18. x 5 72, y 5 90 19. x 5 39, y 5 29

20. x 5 16, y 5 14 21. x 5 6, y 5 36.5

22. D 23. ∠ AED > ∠ BEC; Theorem 10.8; Angle-Angle Similarity Postulate

24. ∠ ADB and ∠ ACB 25. Given; }

AB > }

CD ; ∠ AEB > ∠ DEC; Theorem 10.8; AAS Congruence Theorem

Answer Key

Lesson 10.5

Practice Level B

1. 2028 2. 1028 3. 2408 4. 568 5. 1288

6. 378 7. 638 8. 1098 9. 1338 10. 268

11. 428 12. 358 13. 67 14. 70 15. 61

16. 24 17. 7 18. 16 19. m∠ 1 5 978,

m∠ 2 5 838, m∠ 3 5 638, m∠ 4 5 1178 20. 608

21. 308 22. 608 23. 608 24. 308 25. 608

26. 128 27. 43 28. about 6.88 29. about 5.68

Answer Key

Lesson 10.6

Practice Level B

1. 15 2. 2 3. 4 4. AB 5 16, DE 5 17

5. AB 5 21, DE 5 23 6. AB 5 32, DE 5 24

7. 5 8. 6 9. 7 10. RT 5 20, TV 5 16

11. RT 5 35, TV 5 45 12. RT 5 36, TV 5 27

13. 15 14. 12 15. 4 16. 18 17. 30 18. 50

19. 4 20. 8 21. 10 22. 8 23. 4 24. 6

25. 15 26. 8 27. 4 28. 20.125 in. 29. 140 in.

30. 14.2 ft

Answer Key

Lesson 10.7

Practice Level B

1. x2 1 y2 5 36 2. x2 1 y2 5 16

3. (x 2 1)2 1 ( y 2 1)2 5 1

4. (x 2 3)2 1 ( y 2 1)2 5 4 5. x2 1 y2 5 81

6. (x 2 1)2 1 ( y 2 3)2 5 16

7. (x 1 3)2 1 y2 5 25

8. (x 2 4)2 1 ( y 1 7)2 5 169

9. x2 1 ( y 2 14)2 5 196

10. (x 1 12)2 1 ( y 2 7)2 5 36

11. x2 1 y2 5 16 12. x2 1 y2 5 25

13. (x 2 2)2 1 ( y 2 4)2 5 169

14. (x 2 3)2 1 ( y 1 2)2 5 841

15. (x 1 43)2 1 ( y 2 5)2 5 225

16. (x 2 17)2 1 ( y 2 24)2 5 625 17. 20

18. 16 19. 4 20. 18

21. 22.

23. no 24. yes 25. yes 26. no

27. a.

b. (22, 4) c. No; The given coordinates are about 10.8 miles from the epicenter.

28. a. (x 2 28)2 1 ( y 2 44)2 5 169; (x 2 42.5)2 1 ( y 2 31)2 5 169; (x 2 57)2 1 ( y 2 44)2 5 169; (x 2 71.5)2 1 ( y 2 31)2 5 169; (x 2 86)2 1 ( y 2 44)2 5 169 b. Change the right side of each equation from 169 to 100.