Chapter 1: Orienting Yourself: The Use of Coordinates

Exercise

Question

Question: 1 (iii)

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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).

(iii) What is the width of the table? The length? Can you make out the height of the table?

Answer

1
Find the horizontal distance between the two feet with the same y-coordinate.
Coordinate plane showing Reiaan's room, bathroom, bed, and study table.
Reiaan's room showing the position of the study table.
Answer: The width of the table is 3 units.
Reason: Consider one pair of horizontally aligned feet at (8, 9) and (11, 9). Their x-coordinates are 8 and 11, so the width of the table is 11 - 8 = 3 units.
2
Find the vertical distance between the two feet with the same x-coordinate.
Answer: The length of the table is 2 units.
Reason: Consider one pair of vertically aligned feet at (11, 9) and (11, 7). Their y-coordinates are 9 and 7, so the length of the table is 9 - 7 = 2 units.
3
Think about what information is visible in the given top-view diagram. Can a top view tell us how high the table is?
Answer: No, the height of the table cannot be determined from the given figure.
Reason: The figure shows the table from the top, so it gives information about its length and width but not its height.
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