Chapter 1: Orienting Yourself: The Use of Coordinates

Exercise

Question

Question: 4 (i)

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Other rooms in the house:

(i) Reiaan's room door leads from the dining room which has the length 18 ft and width 15 ft. The length of the dining room extends from point P to point A. Sketch the dining room and mark the coordinates of its corners.

Answer

1
Determine where the dining room lies relative to Reiaan's room.
The dining room extends downward from the x-axis, with P and A as its top corners.
Reason: Reiaan's room door is on the bottom side of the room. Since the door leads from the dining room, the dining room must lie below Reiaan's room and extend downward from the x-axis.
Floor plan showing Reiaan's room, bathroom, and dining room, with the dining room extending downward from the x-axis.
Position of the dining room relative to Reiaan's room and bathroom.
2
Identify the two corners P and A that lie on the x-axis.
P = (-6, 0) and A = (12, 0)
3
Identify the bottom corners of the dining room given that the dining room width is 15 ft.
\text{V = (-6, 0 - 15) = (-6, -15) $\quad$ ${color:#625b5f}[15 ft downward: x stays -6; y decreases by 15.]{/color}$}
\text{U = (12, 0 - 15) = (12, -15)$\quad$ ${color:#625b5f}[15 ft downward: x stays 12; y decreases by 15.]{/color}$}
4
Write the coordinates of all four corners of the dining room.
Answer: Dining room (18 ft × 15 ft): P = (-6, 0), A = (12, 0), U = (12, -15), V = (-6, -15)
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