Lesson 11.1 Skills Practice

Lesson 11.1 Skills Practice Name Date Four Quadrants Etending the Coordinate Plane Vocabular Define each term in our own words. 1. quadrant 2. Cartesian coordinate plane Problem Set Plot the point represented b each coordinate pair in the coordinate plane. Determine in which quadrant the point lies or on which ais. 1. A (5, 8) Quadrant I 2. B (22, 26) 8 6 A 3. C (24, 3) 4 4. D (0, 28) 2 5. E (1, 3) 6. F (3, 22) 7. G (27, 29) 8. H (5, 26) 9. I (9, 0) 4 2 0 2 4 6 8 2 4 10. J (21, 7) Chapter 11 Skills Practice 669

Lesson 11.1 Skills Practice page 2 Write the coordinate pair for each point. Determine in which quadrant the point lies or on which ais. 11. Point A (2, 5) Quadrant I 12. Point B 13. Point C 14. Point D 15. Point E 16. Point F 17. Point G 18. Point H 19. Point I 20. Point J I J F 8 H 6 A 4 D C 2 4 2 0 2 4 6 8 2 E 4 B G Points A and B are labeled on each coordinate plane. Identif the ordered pair associated with each point. Write an absolute value equation to calculate the distance between point A and point B. 21. 22. A A B B Point A (4, 8) Point B (4, 22) 8 1 22 5 10 670 Chapter 11 Skills Practice

Lesson 11.1 Skills Practice page 3 Name Date 23. 24. A B A B 25. 26. A A B B Chapter 11 Skills Practice 671

Lesson 11.1 Skills Practice page 4 27. 28. A B A B 672 Chapter 11 Skills Practice

Lesson 11.2 Skills Practice Name Date Geometr and Graphs Graphing Geometric Figures Problem Set Plot and label the points to create the figure or figures described. 1. The points A(2, 0) and B(2, 4) are plotted on the coordinate plane. Plot and label points C, D, E, and F so that two squares, ABCD and ABEF, are formed. Draw the squares. 8 6 (22,4)E B(2,4) C(6,4) 4 2 (22,0)F A(2,0) D(6,0) 4 2 0 2 4 6 8 2 4 2. The points A(22, 2) and B(2, 2) are plotted on the coordinate plane. Plot and label points C, D, E, and F so 8 that two squares, ABCD and ABEF, are formed. 6 Draw the squares. 4 A( 2,2) 2 B(2,2) 4 2 0 2 4 6 8 2 4 Chapter 11 Skills Practice 673

Lesson 11.2 Skills Practice page 2 3. The points A(24, 2) and B(24, 7) are plotted on the coordinate plane. Plot and label points C, D, E, and F so that two squares, ABCD and ABEF, are formed. Draw the squares. B( 4,7) A( 4,2) 8 6 4 2 4 2 0 2 4 6 8 2 4 4. The points A(22, 24) and B(3, 24) are plotted on the coordinate plane. Plot and label points C, D, E, and F so that two squares, ABCD and ABEF, are formed. Draw the squares. 8 6 4 2 C(3,1) 4 2 0 2 4 6 8 2 A( 2, 4) 4 B(3, 4) 5. Line segment AB is plotted on the coordinate plane. Plot and label points C and D so that parallelogram ABCD with a height of 6 units is formed. Draw the parallelogram. 8 6 A( 3,4) B(5,4) 4 2 4 2 0 2 4 6 8 2 4 674 Chapter 11 Skills Practice

Lesson 11.2 Skills Practice page 3 Name Date 6. Line segment AB is plotted on the coordinate plane. Plot and label points C and D so that parallelogram ABCD with a height of 2 units is formed. Draw the parallelogram. A( 2,6) 8 6 4 B(3,6) 2 4 2 0 2 4 6 8 2 4 7. Line segment AB is plotted on the coordinate plane. Plot and label points C and D so that trapezoid ABCD with a height of 4 units is formed. Draw the trapezoid. A B 8. Line segment AB is plotted on the coordinate plane. Plot and label points C and D so that trapezoid ABCD with a height of 3 units is formed. Draw the trapezoid. B A Chapter 11 Skills Practice 675

Lesson 11.2 Skills Practice page 4 Graph the points on each coordinate plane. Connect the points with line segments and identif the resulting figure. 9. 1 21 0 25 23 27 24 22 The figure is a quadrilateral. 10. 1 3 1 7 23 5 23 1 676 Chapter 11 Skills Practice

Lesson 11.2 Skills Practice page 5 Name Date 11. 4 3 7 3 7 25 4 25 12. 22 2 24 7 26 7 28 2 Chapter 11 Skills Practice 677

Lesson 11.2 Skills Practice page 6 13. 22 23 28 23 25 27 14. 3 2 5 2 6 5 4 7 2 5 678 Chapter 11 Skills Practice

Lesson 11.2 Skills Practice page 7 Name Date Plot and label the points to create each figure described. 15. The points A(23, 21) and B(5, 24) are endpoints of one diagonal of a rectangle. Plot and label points C and D so that the rectangle ACBD is formed. Draw the rectangle. A D C B 16. The points A(22, 5) and B(26, 23) are endpoints of one diagonal of a rectangle. Plot and label points C and D so that the rectangle ACBD is formed. Draw the rectangle. A B Chapter 11 Skills Practice 679

Lesson 11.2 Skills Practice page 8 17. The points A(3, 3) and B(3, 23) are endpoints of one diagonal of a square. Plot and label points C and D so that square ACBD is formed. Draw the square. 8 6 4 2 A(3,3) 4 2 0 2 4 6 8 2 4 B(3, 3) 18. The points A(27, 5) and B(1, 5) are endpoints of one diagonal of a square. Plot and label points C and D so that square ACBD is formed. Draw the square. A( 7,5) 8 6 4 B(1,5) 2 4 2 0 2 4 6 8 2 4 19. Plot and identif 5 points that are the vertices of a pentagon. Draw the pentagon. 680 Chapter 11 Skills Practice

Lesson 11.2 Skills Practice page 9 Name Date 20. Plot and identif 4 points that are the vertices of a parallelogram. Draw the parallelogram. Chapter 11 Skills Practice 681

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Lesson 11.3 Skills Practice Name Date Water, Water Everwhere Solving Problems with Multiple Representations Problem Set Complete each table. 1. A free diver is diving at a constant rate of 1.2 feet per second. Complete the table to show the diver s depth, d, after t seconds. Time, t (in seconds) Depth, d (in feet) 30 236 60 90 120 2. An airplane is taking off and climbing at a constant rate of 1400 feet per minute. Complete the table to show the airplane s altitude, a, after t minutes. Time, t (in minutes) Altitude, a (in feet) 1 1.5 2 2.5 Chapter 11 Skills Practice 683

Lesson 11.3 Skills Practice page 2 3. A mountain climber is ascending a challenging section of a mountain at a rate of 3 feet per minute. Complete the table to show the height that the climber ascends, h, after t minutes. Time, t (in minutes) Height, h (in feet) 2 4 6 8 4. A helium balloon is rising at a constant rate of 300 feet per minute. Complete the table to show the balloon s altitude, a, after t minutes. Time, t (in minutes) Altitude, a (in feet) 0.25 0.5 1 1.5 5. A backard pool is being filled with water at a constant rate of 5 gallons per minute. Complete the table to show the volume of water added to the pool, v, after t minutes. Time, t (in minutes) 30 60 90 120 Volume, v (in gallons) 684 Chapter 11 Skills Practice

Lesson 11.3 Skills Practice page 3 Name Date 6. A submarine is diving at a constant rate of 8 feet per second. Complete the table to show the submarine s depth, d, after t seconds. Time, t (in seconds) Depth, d (in feet) 15 30 45 60 Write an equation that represents each situation. 7. A free diver is diving at a constant rate of 0.9 feet per second. t 5 time in seconds d 5 depth in feet d 520.9t 8. An airplane is taking off and climbing at a constant rate of 2000 feet per minute. 9. A mountain climber is ascending a challenging section of a mountain at a rate of 2 feet per minute. 10. A helium balloon is rising at a constant rate of 400 feet per minute. Chapter 11 Skills Practice 685

Lesson 11.3 Skills Practice page 4 11. A backard pool is being filled with water at a constant rate of 4.5 gallons per minute. 12. A submarine is diving at a constant rate of 12 feet per second. Graph the equation that represents each situation. 13. A free diver is diving at a constant rate of 0.75 feet per second. 0 Time, t (in seconds) 20 40 60 80 100 120 140 160 180 200 t 5 time in seconds d 5 depth in feet d 5 20.75t Depth, d (in feet) 20 40 0 0 100 120 d = 0.75t 140 160 180 200 14. An airplane is taking off and climbing at a constant rate of 1500 feet per minute. 686 Chapter 11 Skills Practice

Lesson 11.3 Skills Practice page 5 Name Date 15. A mountain climber is ascending a mountain at a rate of 5 feet per minute. 16. A helium balloon is rising at a constant rate of 200 feet per minute. Chapter 11 Skills Practice 687

Lesson 11.3 Skills Practice page 6 17. A backard pool is being filled with water at a constant rate of 4 gallons per minute. 18. A submarine is diving at a constant rate of 10 feet per second. 688 Chapter 11 Skills Practice

Lesson 11.4 Skills Practice Name Date Ever Graph Tells a Stor! Interpreting Graphs Problem Set Tell a stor to describe each graph. 1. Answers ma var. The person s heart rate increased as she warmed up and began to eercise. Then, it leveled off as she eercised at a stead pace for a while. Her heart rate began to fall back to normal as she slowed down and cooled off at the end. 2. Heart Rate (beats per minute) Time Spent Eercising (in minutes) Temperature of Tea ( F) Time Spent Cooling (in minutes) Chapter 11 Skills Practice 689

Lesson 11.4 Skills Practice page 2 3. Water Level of Bird Bath (in inches) Time (in das) 4. Length of Hair (in inches) Time (in ears) 690 Chapter 11 Skills Practice

Lesson 11.4 Skills Practice page 3 Name Date 5. Distance from Home (in miles) Time (in minutes) 6. Mone Spent Over Budget ($) Time (in months) Chapter 11 Skills Practice 691

Lesson 11.4 Skills Practice page 4 Choose the graph that best represents each scenario. 7. Carla filled a mug with tea. Ever few minutes Carla took a drink from the mug. a. b. c. The graph that best represents the scenario is c. 8. Marcel was plaing basketball. The basketball sprung a leak and the air steadil drained out of the basketball. a. b. c. 9. Carissa was jogging in the park with her dog. Twice during their jog the slowed to a walk to rest before continuing to jog at a faster pace. a. b. c. 692 Chapter 11 Skills Practice

Lesson 11.4 Skills Practice page 5 Name Date 10. Jessica filled her little brother s bab pool in the backard. As her brother plaed in the pool, he dumped buckets of water out of the pool. a. b. c. 11. Jamal was riding his bike. When he rode up a hill, his speed decreased. When he rode down a hill, his speed increased. a. b. c. 12. Lauren released a helium balloon outside. The balloon rose at a constant rate. a. b. c. Chapter 11 Skills Practice 693

Lesson 11.4 Skills Practice page 6 Draw a graph to represent each scenario. Label the aes with the appropriate quantities. 13. Natasha and her famil took a 3 da trip to her grandmother s house. On the first da the drove 300 miles. On the second da the drove 350 miles. On the third da the drove the remaining 200 miles. 1000 900 800 Distance (in miles) 700 600 500 400 300 200 100 0 1 2 3 Time (in das) 4 14. Belinda s cell phone plan charges $30 per month plus $0.10 per tet message sent. In Januar, Belinda sent 75 tet messages. In Februar, Belinda sent 50 tet messages. In March, Belinda sent 100 tet messages. 694 Chapter 11 Skills Practice

Lesson 11.4 Skills Practice page 7 Name Date 15. Nina is draining a 1200 gallon pool with a garden hose. After 2 hours, Nina finds that half of the water has drained out of the pool, but the garden hose becomes clogged and stops draining. It takes Nina an hour to clear the clog, and the pool begins to drain again. After 5 hours the pool is completel drained. 16. During a snow storm, light snow begins to fall and accumulates 1 inch in 3 hours. Then heav snow squalls dump 6 more inches of snow in 2 hours. Finall light snow flurries add another inch of snow in 4 hours. Chapter 11 Skills Practice 695

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