Chapter 1: Orienting Yourself: The Use of Coordinates

Exercise

Question

Question: 1 (i)

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Place Reiaan's rectangular study table with three of its feet at the points (8, 9), (11, 9) and (11, 7).

(i) Where will the fourth foot of the table be?

Image of Reiaan's room and bathroom
Reiaan's room and bathroom

Answer

1
Plot the three given feet on the coordinate plane.
Coordinate plane showing Reiaan's room, bathroom, and study table with three given feet marked.
Reiaan's room with the study table and its three given feet.
2
Use the fact that points on the same vertical line have the same x-coordinate, and points on the same horizontal line have the same y-coordinate.
Answer: The fourth foot will be at (8, 7).
Reason: The foot at (8, 9) lies directly above the fourth foot of the table, so they have the same x-coordinate, 8. The foot at (11, 7) lies directly to its right, so they have the same y-coordinate, 7. Therefore, the fourth foot is (8, 7).
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