MSM07G7_RESBK_CH04_003–010.pe 1/29/06 9:05 PM Page 6 Name LESSON Date Class Reteach 4-1 The Coordinate Plane Numbers are graphed on a number line. Ordered pairs of numbers are graphed on a coordinate plane. A coordinate plane has two perpendicular number lines that divide it into 4 quadrants. The following chart will help you identify the quadrants and the coordinates of points on a coordinate plane. y Quadrant II Quadrant I 4 (,) (, ) Q ( 2 x 4 2 O 2 4 2 , ) ( , ) Quadrant III Quadrant IV (, ) (, ) ( ( , ) , ) P 4 To find the coordinates of P, start at (0, 0). Move 3 units , then 2 units . So the coordinates of P are (3, 2), and P is in quadrant IV. To plot point Q with coordinates (1, 2), start at (0, 0). Move 1 unit , then 2 units . Q is in quadrant II. y Identify the quadrant and the coordinates of each point on the coordinate plane at the right. 1. A II; 2. B B 4 II; 3. C II; 4. D II; A 5. E II; 6. F II; 4 2 D x 2 O 2 4 2 C F 4 E Plot each point on the coordinate plane above. 7. G (4, 3) 11. L (4, 1) Copyright © by Holt, Rinehart and Winston. All rights reserved. 8. H (0, 2) 9. J (3, 5) 12. M (3, 4) 13. N (1, 3) 6 10. K (3, 1) 14. Z (3, 0) Holt Mathematics MSM07G7_RESBK_Ch04_051-062.pe 1/30/06 9:32 PM Page 51 Practice B 4-1 The Coordinate Plane Practice A 4-1 The Coordinate Plane LESSON LESSON y Identify the quadrant of each point. 1. A I 2. B III 3. C IV D 2 O 2 II 4. D A x 4 2 4 C 2 B y Identify the quadrant that contains each point. 4 1. A III 2. B IV 3. C II 4 C x A y 4 6. (2, 4) 6. (3, 3) (5, 1) 4 O 2 (3, 1) 9. (3, 2) 10. (3, 1) 2 2 11. J (4, 1) 12. K (0, 2) 13. L (3, 3) 14. M (5, 2) M O 2 x L 2 4 R 2 (3, 4) 15. N 4 P 4 (1, 4) 4 K N 4 11. P (2, 5) 12. Q (3, 0) 13. R (4, 3) 14. S (5, 4) 15. T (0, 2) (2, 2) 16. P (4, 0) 16. U 17. R (2, 1) 17. W (3, 3) (1, 4) 18. X (2, 1) 18. S Copyright © by Holt, Rinehart and Winston. All rights reserved. 3 Holt Mathematics IV; (3,3) 3. C I; (1, 4) 4. D III; (1, 2) (3, 3) 4 2 W T x Q O 2 4 2 X 2 U S 4 R 4 4 Holt Mathematics LESSON y Identify the quadrant that contains each point. Give the coordinates of each point. 2. B 4 Reteach 4-1 The Coordinate Plane Practice C 4-1 The Coordinate Plane II; (2, 5) P Copyright © by Holt, Rinehart and Winston. All rights reserved. LESSON 1. A 2 y Give the coordinates of each point. 2 J x O 2 (5, 1) 2 9. (2, 2) y S 4 10. (1, 4) (4, 3) 4 2 (4, 0) 8. (5, 1) 4 (3, 2) Give the coordinates of each point. (2, 2) 7. (1, 4) x (1, 4) 4 5. (4, 0) 2 B y Plot each point on a coordinate plane. (0, 3) 7. (5, 1) 8. (4, 3) 4 4 Plot each point. (2, 4) 2 2 4 5. (0, 3) O 2 4 I 4. D D 2 A 4 Numbers are graphed on a number line. Ordered pairs of numbers are graphed on a coordinate plane. A coordinate plane has two perpendicular number lines that divide it into 4 quadrants. The following chart will help you identify the quadrants and the coordinates of points on a coordinate plane. y Quadrant II Quadrant I 4 (,) (, ) C 2 x 4 O 2 4 2 2 D Q B 4 ( 2 x 4 2 y Plot each point on a coordinate plane. 5. (2, 2) (3, 0) 8. (4, 4) 4 O 2 9. (3, 0) 2 (2, 2) 10. (3, 1) x (0, 2) 1. A 3. C 2 5. E x 4 2 O (, ) ( , ) , ) To plot point Q with coordinates (1, 2), start at (0, 0). Move 1 unit , then 2 units . Q is in quadrant II. y Identify the quadrant and the coordinates of each point on the coordinate plane at the right. 4 quadrants I, II, III, and IV (, ) ( (4, 5) y parallelogram; , ) Quadrant IV P To find the coordinates of P, start at (0, 0). Move 3 units , then 2 units . So the coordinates of P are (3, 2), and P is in quadrant IV. 4 2 4 11. Graph the points (3, 2), (3, 2) (4, 3) and (2, 3). Connect each point in the order listed. Name the figure and the quadrants in which it is located. 4 2 ( 4 2 (3, 1) 7. (0, 2) 2 4 (4, 4) 6. (4, 5) O , ) Quadrant III 2 II; (4, 2) 2. B I; (3, 4) III; (5, 2) 4. D I; (1, 3) IV; (1, 4) 6. F B 4 M N A D 2 III; (2, 3) 2 4 O 2 4 C 2 G F x Z K 4 2 4 H L E J 4 Plot each point on the coordinate plane above. 7. G (4, 3) 11. L (4, 1) Copyright © by Holt, Rinehart and Winston. All rights reserved. 5 Copyright © by Holt, Rinehart and Winston. Holt Mathematics Copyright © by Holt, Rinehart and Winston. All rights reserved. 51 8. H (0, 2) 9. J (3, 5) 12. M (3, 4) 13. N (1, 3) 6 10. K (3, 1) 14. Z (3, 0) Holt Mathematics Holt Mathematics
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