Chapter 1: Orienting Yourself: The Use of Coordinates

Exercise

Question

Question: 1 (i)

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Fig 1.3 shows Reiaan's room with points OABC marking its corners. The x- and y-axes are marked in the figure. Point O is the origin.

Referring to Fig. 1.3, answer the following questions:

(i) If D1-R1 represents the door to Reiaan's room, how far is the door from the left wall (the y-axis) of the room? How far is the door from the x-axis?

Coordinate plane showing Reiaan's room with the x-axis, y-axis, origin O, and labelled points D1, R1, B1, and B2.
Fig. 1.3: Coordinate plane showing Reiaan's room.

Answer

1
Find the horizontal distance between the door and the left wall (the y-axis).Note: Since the door has two ends, use the end closer to the wall when measuring its distance from the wall.
Answer: The door is 8 units from the left wall.
Reason: The left wall coincides with the y-axis, where x = 0. The nearer end of the door is at x = 8 (D1). Therefore, the door is 8 units from the left wall.
2
Find the vertical distance between the door and the x-axis.
Answer: The door is 0 units from the x-axis.
Reason: The bottom of the door is on the x-axis (y = 0). Therefore, its distance from the x-axis is 0 units.
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