CH 9

Study Guide CH9A B has not been constructed.

Use the coordinate plane to answer questions 1 to 3.

1. Plot two points, A and B and label their coordinates.

2. Plot points C (-2,3) and D (6,-2) on the coordinate plane.

3. Points C and F are reflections of each other about the y-axis. Give the coordinates of point F.

Use the coordinate plane to answer questions 4 to 5.

4. Plot points J (-3 ,3 ), K ( 4,3 ), L (4 ,-2 ), and M (-3 ,-2 ) on the coordinate plane. Then connect the points in order with line segments to form a closed figure. Name the figure formed.

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5. Find the lengths of JK and JM.

The diagram below shows the plan of a computer room. The side length of each grid square is 5 feet. Use the diagram to answer questions 6 to 9.

6. A desk is situated at point P. It is 10 feet from AD and 10 feet from DC. Plot point P on the coordinate plane and give the coordinates of point P.

7. The entrance to the room lies at point E on AB and is 15 feet from point A. Plot point E on the coordinate plane. Find the distance from the entrance at point E to the desk at point P.

8. A whiteboard is located on the wall DC. It is mounted 10 feet away from point D and 25 feet away from point C. Find the length of the whiteboard.

9. Calculate the floor area of the computer room in square feet.

A swimmer participated in a competition. The distance swam, d meters, after t seconds, is given by the equation d = 1.6t. Use the data in the table to answer questions 10 to 13.

10. Graph the relationship between t and d. Use 1 unit on the horizontal axis to represent 5 seconds and 1 unit on the vertical axis to represent 10 meters.

11. What is the distance swam in 25 seconds?

12. What was the average speed of the swimmer?

13. Assuming the swimmer swam at a constant speed, what was the distance she swam in 2 minutes?

ANSWER KEY 9A

Questions 1 to 3:

3. F = (2,3)

Answers to questions 4 and 5:

5. JK = 7 JM = 5

Answer for 6 to 9:

6. Coordinates of P: (-20, -5)

7. Distance E to P: 25 ft.

8. Whiteboard distance: 25 ft.

9: Area of room: length = 60, width =30 A=L x W

Area = 60 x 30 = 1800 sq. ft.

Answers for Questions 10 - 13:

11. distance swam in 25 seconds : 40m.

12. average speed of the swimmer: 1.6 m/sec. (d=1.6t)

13. 2 minutes = 120 sec. 120 x 1.6 = 120 + 72 = 192m.