Worksheet on Ractangular Coordinate System | PDF - Free Printable

It looks like you've uploaded a worksheet titled "Parts of the Building" that involves identifying the coordinates and quadrants of various rooms in a building layout on a coordinate plane.

Since I can't view images directly, I'll guide you through how to solve this type of problem step by step. If you can provide the specific coordinates or describe the image (e.g., where certain rooms are located), I can help you fill out the table accurately.

However, based on the structure of the worksheet, here's how you would typically approach it:

---

🔍 Understanding the Worksheet

The image shows a grid-based floor plan of a building with labeled rooms. The grid is divided into four quadrants (like a Cartesian coordinate plane), with the origin (0, 0) likely at the center.

Each room has a coordinate (x, y) that corresponds to its location on the grid.

You're asked to:
1. Identify the coordinates of each room.
2. Determine which quadrant the point lies in.

---

🧩 Steps to Solve

#### Step 1: Understand the Coordinate System
- The horizontal axis is the x-axis.
- The vertical axis is the y-axis.
- The intersection is the origin (0, 0).
- Quadrants are labeled as:
- I: (+, +)
- II: (−, +)
- III: (−, −)
- IV: (+, −)

> Note: In some diagrams, especially architectural ones, the y-axis might increase upward (standard), so positive y is up.

#### Step 2: Locate Each Room
Use the grid lines to determine the x and y values for each room.

For example:
- If "Morning Room" is at (-11, 8), then:
- x = -11 (left of origin)
- y = 8 (above origin)
- So it's in Quadrant II

#### Step 3: Fill in the Table

Let’s go through the list and assume typical placements based on common layouts. Since I can’t see the image, I’ll give you an example solution format and explain how to do it.

---

✔ Example Solution Format

| Part of the Building | Coordinates | Quadrant |
|----------------------|-------------|----------|
| Morning Room | (-11, 8) | II |
| Foll Room | (7, 6) | I |
| Terrace Hall | (5, 4) | I |
| Old Kitchen | (-8, 3) | II |
| Billiard Room | (-6, 2) | II |
| Salon | (2, 1) | I |
| Reception Hall | (0, 0) | Origin |
| Grand Staircase | (-2, -5) | III |
| Meeting Hall | (9, 7) | I |
| Reception Office | (8, 5) | I |
| Drawing Room | (4, 3) | I |
| Entrance | (0, -2) | IV |
| Library | (-4, -3) | III |
| Spa | (6, -1) | IV |
| Hathersough Room | (-1, -4) | III |

> ⚠️ Note: These coordinates are hypothetical and based on a typical layout. You must read the actual grid in your image to get correct values.

---

🔎 How to Find Coordinates from the Image

1. Find the origin (0, 0) – usually marked or near the center.
2. Count how many units right/left (x) and up/down (y) from the origin to the room.
3. Write as (x, y).
4. Use quadrant rules:
- Both positive → I
- x negative, y positive → II
- Both negative → III
- x positive, y negative → IV

---

💡 Tips

- Look for labels near rooms.
- Follow the grid lines carefully.
- Some rooms may be on axes (like the entrance at (0, -2)) — those are not in any quadrant, but on the axis.

---

❓ Need Help?

If you can describe the positions of a few rooms (e.g., “the Morning Room is 11 units left and 8 units up from the center”), I can help you complete the entire table.

Alternatively, if you can copy the coordinates visible in the image or describe the grid, I can assist further.

Would you like to provide that info?