Mapping Reiaan's Room: Exercise Set 1.1
Putting coordinates to work — door widths, wall positions, and what the numbers reveal about a real bedroom
Reiaan's room on a coordinate grid
Now we put everything you have learned to use.
The diagram below shows Reiaan's room — the same one Shalini built a tactile map for two pages ago — laid out on a Cartesian coordinate grid. The unit on the grid is one foot.
The corners of the room are labelled:
- O = (0, 0) — the bottom-left corner of the room (and the origin of our coordinate system)
- A = (12, 0) — the bottom-right corner, 12 feet along the floor from O
- B = (12, 10) — the top-right corner
- C = (0, 10) — the top-left corner
The left wall of the room sits along the y-axis. The bottom wall sits along the x-axis. So the y-axis is, quite literally, the left wall of Reiaan's room — and the x-axis is the floor's bottom edge as you look down on the floor plan.
Many other points are labelled inside: are the four corners of the wardrobe; are the four corners of the bed; and are the two ends of the room door; and are the two ends of the bathroom door (which sits along the y-axis itself, on the left wall).
We will use these labelled points to answer the questions of Exercise Set 1.1.
Reiaan's room on a coordinate grid
Now we put everything you have learned to use.
The diagram below shows Reiaan's room — the same one Shalini built a tactile map for two pages ago — laid out on a Cartesian coordinate grid. The unit on the grid is one foot.
The corners of the room are labelled:
- O = (0, 0) — the bottom-left corner of the room (and the origin of our coordinate system)
- A = (12, 0) — the bottom-right corner, 12 feet along the floor from O
- B = (12, 10) — the top-right corner
- C = (0, 10) — the top-left corner
The left wall of the room sits along the y-axis. The bottom wall sits along the x-axis. So the y-axis is, quite literally, the left wall of Reiaan's room — and the x-axis is the floor's bottom edge as you look down on the floor plan.
Many other points are labelled inside: are the four corners of the wardrobe; are the four corners of the bed; and are the two ends of the room door; and are the two ends of the bathroom door (which sits along the y-axis itself, on the left wall).
We will use these labelled points to answer the questions of Exercise Set 1.1.