Answer Key [PDF]

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

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

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19. 7Ï2 20. 10Ï2 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 Congruence

} } Postulate; 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

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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. x 2 1 y 2 5 36 2. x 2 1 y 2 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. x 2 1 y 2 5 81 6. (x 2 1)2 1 ( y 2 3)2 5 16 7. (x 1 3)2 1 y 2 5 25 8. (x 2 4)2 1 ( y 1 7)2 5 169 9. x 2 1 ( y 2 14)2 5 196 10. (x 1 12)2 1 ( y 2 7)2 5 36 11. x 2 1 y 2 5 16 12. x 2 1 y 2 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.