The Coordinate Plane

MSM07G6_RESBK_Ch11_019-026.pe 2/10/06 11:14 AM Page 20 Name LESSON Date Class Practice B 11-3 The Coordinate Plane Use the coordinate plane for Exercises 1–12. Name the quadrant where each point is located. 1. D II 2. P II 3. Y III 4. B IV 5. C I 6. X I y P D Q 4 C 2 x X 4 Give the coordinates of each point. 7. X I 8. A I 9. P I 10. Q I 11. Y I 12. D I Graph each point on the coordinate plane at right. 2 Y O 2 2 4 4 A B Check students’ graphs. 13. X (3, 1) 14. T (2, 2) 15. C (1, 2) 16. U (0, 3) 4 17. P (2, 0) 18. A (4, 1) 2 y x 4 4 2 2 O 2 4 19. Does every point lie in a quadrant? Explain. No, if aoint is on either axis it does not lie in auadrant. 20. When a point lies on the x-axis, what do you know about its y-coordinate? When a point lies on the y-axis, what do you know about its x-coordinate? Its-coordinate is 0; its x-coordinate is 0. 2 4 MSM07G6_RESBK_Ch11_084-104.pe 2/10/06 11:43 AM Page 88 Practice A LESSON 11-3 The Coordinate Plane Practice B LESSON 11-3 The Coordinate Plane Use the coordinate plane for Exercises 1 and 2. Circle the letter of the correct answer. 1. Which point is located in Quadrant I? A point Q B point P C point X 嘷 D point Y Use the coordinate plane for Exercises 1–12. Name the quadrant where each point is located. y 4 x O 2 2 II 3. Y 4. B IV 5. C I 6. X I B 2 x C O 2 P D 4 7. X (2, 1) 8. A (3, 2) 9. P (1, 3) 10. Q (4, 1) 11. Y (2, 2) 12. D (2, 2) x 2 2 4 A B 4 Check students’ graphs. 13. X (3, 1) 14. T (2, 2) 15. C (1, 2) 16. U (0, 3) 4 17. P (2, 0) 18. A (4, 1) 2 y X x P A 4 A O 2 2 2 T 4 C U 4 19. Does every point lie in a quadrant? Explain. 6. What is the difference between the x-axis and the y-axis? (0, 0) O 2 Y 4 5. If a point is located at the origin, what are that point’s coordinates? C 2 4 D 2 4 Q Graph each point on the coordinate plane at right. y 2 y 4 P (1, 2) 4 4 2. P X 4 4. What are the coordinates of point D? F (1, 1) 嘷 G (1, 1) H (1, 1) J (1, 1) II III Give the coordinates of each point. 2 Q (3, 2) Use the coordinate plane for Exercises 3 and 4. Circle the letter of the correct answer. 3. What are the coordinates of point A? A (1, 3) B (3, 1) C (3, 1) 嘷 D (1, 3) 1. D 2 Y (2, 1) 4 2. Which point is located in Quadrant IV? F point X G point Y H point Q J point P 嘷 X (2, 3) No, if a point is on either axis it does The x-axis runs horizontally; not lie in a quadrant. the y-axis runs vertically. 20. When a point lies on the x-axis, what do you know about its y-coordinate? When a point lies on the y-axis, what do you know about its x-coordinate? Its y-coordinate is 0; its x-coordinate is 0. Reteach LESSON 11-3 The Coordinate Plane Practice C LESSON 11-3 The Coordinate Plane Name the quadrant where each point is located and give the coordinates for each point. 1. Y 2. D IV; (3, 2) II; (1, 3) 4 4. X I; (1, 2) 5. C III; (3, 2) 6. B IV; (1, 3) 7. A A 4 2 X 8. Q II; (2, 1) Q III; (2, 3) 11. V (0, 1) 12. T (3, 2) (0, 1) (3, 2) y-coordinate y II; (4, 1) 2 4 2 III; (3, 6) 5. P both coordinates are always positive; in Quadrant III, both coordinates are always negative. O 2 2 4 F 2 I; (5, 5) 4 6. W IV; (4, 5) x D 4 4. T x-axis; (6, 0) T' V' T 4 W P Q y-axis; (0, 4) U' y Graph each point on the coordinate plane. 7. B (1, 6) Possible answer; In Quadrant I, (5, 4) 4 2 P' 4 13. What patterns can you find between the coordinates of any point located in Quadrant I and the coordinates of any point located in Quadrant III? 4 IV 2. Q 3. F x 2 IIl Name the quadrant on axis where each point is located. Then give the coordinates of each point. C y 4 2 4 4 O O 2 Y 4 2 (2, 4) 2 x 4 The coordinates of point A are (5, 4) because it is 5 units to the right of the origin and 4 units down. It is located in quadrant IV. 1. D 10. U (2, 4) (1, 3) O 2 To rotate a point 180° about the origin, you graph the opposite of each coordinate. Write the ordered pair for the rotated point and then graph it. Check students’ graphs. 9. P (1, 3) Z x I; (4, 2) I 2 2 x-coordinate B 2 4 II An ordered pair tells the location of a point. The x-coordinate tells you how far to move right or left. The y-coordinate tells you how far to move up or down. y D 3. Z y The coordinate plane is divided into four quadrants. They are numbered I, II, III, and IV. Use the coordinate plane for Exercises 1–8. 14. On a city grid, the post office is located at (3, 2) and the fire station is located at (2, 3). Which building is located the farthest west? the farthest south? the fire station; the post office B 2 9. V (3, 4) 10. Z (0, 6) 6 4 8. R (8, 5) x 6 4 2 O 2 4 6 2 V 4 6 Z R