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CHAPTER 3 Chapter Test C For use after the chapter “Parallel and Perpendicular Lines” Identify the pairs of angles as corresponding, alternate interior, alternate exterior, consecutive interior, or vertical angles. 1. 1 and 4 Answers 1. _____________ _____________ 2. 3 and 5 3. 3 and 6 2. _____________ 4. 1 and 8 _____________ 5. 2 and 3 3. _____________ 6. 4 and 8 _____________ Find the values of x and y. 7. 4. _____________ 8. _____________ 5. _____________ _____________ 6. _____________ Complete the proof. 7. _____________ _____________ 8. _____________ _____________ Statements 9. FCD BCA Reasons __________________ 9. _____________ 10. __________________ Definition of Congruent Angles 10. _____________ 11. m BCA = 78° __________________ 11. _____________ 12. m FCD = 78° __________________ 12. _____________ 13. __________________ Given 14. 78° + 102° = 180° __________________ 15. m FCD + m CFG = 180° __________________ 14. _____________ 16. __________________ Definition of Supplementary 15. _____________ 17. m || n __________________ 16. _____________ Geometry Assessment Book 13. _____________ 17. _____________ Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved. _____________ GIVEN: m BCA = 78° m CFG = 102° PROVE: m || n Name _________________________________________ CHAPTER 3 Date ____________________ Chapter Test C continued For use after the chapter “Parallel and Perpendicular Lines” Write an equation of the line that passes through point P and is parallel to the line with the given equation. 1 18. P(3, 3), y = – x + 3 2 1 19. P(–2, 1), y = x – 1 3 Write an equation of the line that passes through point P and is perpendicular to the line with the given equation. 20. P(6, 2), y = 3x + 3 21. P(–3, 0), y = 2x – 4 18. _____________ 19. _____________ 20. _____________ 21. _____________ 22. _____________ Graph the equation. 22. –3x + y = 6 Answers 23. 2y + 4x = 10 23. _____________ 24. _____________ 25. _____________ 26. _____________ 27. _____________ Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved. 24. 3 x + 2y = 8 2 25. –4x + 8y = 12 Use the Distance Formula to find the exact distance between the two parallel lines. 26. 27. Geometry Assessment Book Chapter Test C 1. vertical 2. consecutive interior 3. alternate interior 4. alternate exterior 5. vertical 6. corresponding 7. x = 8; y = 30 8. x = 23; y = 46 9. Vertical Angles Congruence Theorem 10. m FCD = m BCA 11. Given 12. Transitive Property of Equality 13. m CFG = 102° 14. Addition 15. Substitution Property of Equality 16. FCD and CFG are supplementary. 17. Consecutive Interior Angles Converse 1 1 1 2 18. y = – x 4 19. y = x 1 2 2 3 3 1 1 1 20. y = – x + 4 21. y = – x –1 3 2 2 22. 23. 24. 26. 25. 5 27. 2 10