112 CHAPTER 1 n LINE AND ANGLE RELATIONSHIPS n Chapter 1 Review Exercises In Exercises 1 and 2, which sentences are settlements? If a sentence is a statement, classify it as true or false. 1. a) Where do you live? b) 4 + 7 ≠ 5. c) Washington was the first U.S. president. d) x + 3 = 7 when x = 5. 2. a) Chicago is located in the state of Illinois. b) Get out of here! c) x < 6 (read as "x is less than 6") when x = 10. d) Babe Ruth is remmbered as a great football player. In Exercises 3 and 4, which sentences are settlements? If a sentence is a statement, classify it as true or false. 3. a) Where do you live? b) 4 + 7 ≠ 5. c) Washington was the first U.S. president. d) x + 3 = 7 when x = 5. e1 Sid 9. a) Where do you live? b) 4 + 7 ≠ 5. c) Washington was the first U.S. president. 10. a) Chicago is located in the state of Illinois. b) Get out of here! c) x < 6 (read as "x is less than 6") when x = 10. d) Babe Ruth is remmbered as a great football player. (HINT: Use Exercise 28 of Section 1.6 as a guide.) b) 4 + 7 ≠ 5. c) Washington was the first U.S. president. d) x + 3 = 7 when x = 5. b) Get out of here! c) x < 6 (read as "x is less than 6") when x = 10. d) Babe Ruth is remmbered as a great football player. In Exercises 13and 14 which sentences are settlements? If a sentence is a statement, classify it as true or false.. PROOF Statements Reasons 1. AC intersects BD at O 1. Given 2. ∠ s AOC and DOB are straight ∠ s, with m ∠ AOC = 180 and m ∠ DOB = 180 2. The measure of a straight angle is 180˚ 3. m ∠ AOC = m∠ DOB 3. Substitution 5. a) Where do you live? b) 4 + 7 ≠ 5. c) Washington was the first U.S. president. d) x + 3 = 7 when x = 5. In Exercise 22 which sentences is a settlement? If a sentence is a statement, classify it as true or false. 20. a) Where do you live? b) 4 + 7 ≠ 5. c) Washington was the first U.S. president. d) x + 3 = 7 when x = 5. 22. a) Where do you live? b) 4 + 7 ≠ 5. c) Washington was the first U.S. president. d) x + 3 = 7 when x = 5. e) Babe Ruth is remmbered as a great football player. 21. a) Chicago is located in the state of Illinois. b) Get out of here! c) x < 6 (read as "x is less than 6") when x = 10. Chapter 1 Test 12. a) Chicago is located in the state of Illinois. In Exercises 5 - 10, which sentences are settlements? If a sentence is a statement, classify it as true or false.. In Exercises 20 and 21, which sentences are settlements? If a sentence is a statement, classify it as true or false.. 11. a) Where do you live? 4. a) Chicago is located in the state of Illinois. b) Get out of here! c) x < 6 (read as "x is less than 6") when x = 10. 13. a) Where do you live? b) 4 + 7 ≠ 5. c) Washington was the first U.S. president. d) x + 3 = 7 when x = 5. In Exercises 1 and 2, which sentences are settlements? If a sentence is a statement, classify it as true or false. 1. a) Where do you live? b) Get out of here! c) x < 6 (read as "x is less than 6") when x = 10. In Exercises 15 to 19, find the equation of the conic section that satisfies the given conditions. 15. Ellipse with vertices at (7, 3) and (-3, 3); length of the b) Get out of here! c) x < 6 (read as "x is less than 6") when x = 10. d) x + 3 = 7 when x = 5. 7. a) Where do you live? b) 4 + 7 ≠ 5. 8. a) Chicago is located in the state of Illinois. b) Get out of here! c) x < 6 (read as "x is less than 6") when x = 10. d) Babe Ruth is remmbered as a great football player. minor axis is 8. 16. Hyperbola with vertices at (4, 1) and (-2, 1); eccentricity is ¾. 17. Hyperbola with foci at (-5, 2) and (1, 2); length of transverse axis is 4. 18. Parabola with focus at (2, -3) and directrix x = 6\ (y + 3)2 = -8(x - 4) [5.1] 19. Parabola with vertex at (0, -2) and passing through the point b) 4 + 7 ≠ 5. c) Washington was the first U.S. president. d) x + 3 = 7 when x = 5. 6. a) Chicago is located in the state of Illinois. Statements b) Get out of here! c) x < 6 (read as "x is less than 6") when x = 10. d) Babe Ruth is remmbered as a great football player. In Exercises 3 and 4, which sentences are settlements? If a sentence is a statement, classify it as true or false. b) 4 + 7 ≠ 5. c) Washington was the first U.S. president. d) x + 3 = 7 when x = 5. A B C D 4. a) Chicago is located in the state of Illinois. b) Get out of here! c) x < 6 (read as "x is less than 6") when x = 10. (HINT: Use Exercise 28 of Section 1.6 as a guide.) In Exercises 5 - 10, which sentences are settlements? If a sentence is a statement, classify it as true or false.. 5. a) Where do you live? b) 4 + 7 ≠ 5. c) Washington was the first U.S. president. d) x + 3 = 7 when x = 5. Reasons 1. AC intersects BD at O 1. Given 2. ∠ s AOC and DOB are straight ∠ s, with m ∠ AOC = 180 and m ∠ DOB = 180 2. The measure of a straight angle is 180˚ 3. m ∠ AOC = m∠ DOB 3. Substitution 3. a) Where do you live? b) Get out of here! c) x < 6 (read as "x is less than 6") when x = 10. d) x + 3 = 7 when x = 5. PROOF 2. a) Chicago is located in the state of Illinois. 14. a) Chicago is located in the state of Illinois. 6. a) Chicago is located in the state of Illinois. 113 In Exercises 11 and 12 which sentences are settlements? If a sentence is a statement, classify it as true or false.. Side 2 Chapter Test 7. a) Where do you live? b) 4 + 7 ≠ 5. 8. a) Chicago is located in the state of Illinois. b) Get out of here! c) x < 6 (read as "x is less than 6") when x = 10. d) Babe Ruth is remmbered as a great football player. 9. a) Where do you live? b) 4 + 7 ≠ 5. c) Washington was the first U.S. president. 10. a) Chicago is located in the state of Illinois. b) Get out of here! c) x < 6 (read as "x is less than 6") when x = 10. d) Babe Ruth is remmbered as a great football player. In Exercises 11 and 12 which sentences are settlements? If a sentence is a statement, classify it as true or false.. 11. a) Where do you live? b) 4 + 7 ≠ 5. c) Washington was the first U.S. president. d) x + 3 = 7 when x = 5. 12. a) Chicago is located in the state of Illinois. b) Get out of here!