Coordinate Plane Worksheets - 4 quadrants - Free Printable

Let's solve Problem 1 from the worksheet: *"Write down the coordinates of each point of the face."*

We are given a coordinate grid with a cartoon face drawn using labeled points (A through L). We need to determine the (x, y) coordinates for each of these points.

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Step-by-step process:

- The x-axis runs horizontally (left to right).
- The y-axis runs vertically (up and down).
- Each point is located at the intersection of a vertical and horizontal line.
- Coordinates are written as (x, y).

Let’s go through each labeled point on the face:

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#### Point A:
- Located at x = 2, y = 5 → (2, 5)

#### Point B:
- x = 4, y = 4 → (4, 4)

#### Point C:
- x = 3, y = 2 → (3, 2)

#### Point D:
- x = 3, y = -1 → (3, -1)

#### Point E:
- x = 1, y = -3 → (1, -3)

#### Point F:
- x = -1, y = -3 → (-1, -3)

#### Point G:
- x = -3, y = -1 → (-3, -1)

#### Point H:
- x = -3, y = 2 → (-3, 2)

#### Point I:
- x = -4, y = 4 → (-4, 4)

#### Point J:
- x = -2, y = 5 → (-2, 5)

#### Point K:
- x = -1, y = 4 → (-1, 4)

#### Point L:
- x = 1, y = 4 → (1, 4)

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✔ Final Answers for Problem 1:

| Point | Coordinates |
|-------|-------------|
| A | (2, 5) |
| B | (4, 4) |
| C | (3, 2) |
| D | (3, -1) |
| E | (1, -3) |
| F | (-1, -3) |
| G | (-3, -1) |
| H | (-3, 2) |
| I | (-4, 4) |
| J | (-2, 5) |
| K | (-1, 4) |
| L | (1, 4) |

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🔍 Explanation:

To find any coordinate:
1. Look at the horizontal position (x): move left/right from the origin (0,0).
- Left = negative; Right = positive.
2. Look at the vertical position (y): move up/down.
- Up = positive; Down = negative.
3. Write as (x, y).

For example, point K is one unit to the left of the y-axis (so x = -1), and four units up (so y = 4) → (-1, 4).

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🎨 Problem 2: Draw Your Own Face

This is an open-ended creative task. You're asked to:
- Draw a face on the blank grid below.
- Label key points (A, B, ..., N).
- Write their coordinates in the table.

Since this is subjective, here’s how you can approach it:
1. Choose a shape for the face (e.g., oval or rectangle).
2. Add features: eyes, nose, mouth.
3. Label the outline points (like A to N).
4. Record their coordinates just like we did above.

> Example: If you draw a circle-shaped face from (-2, 4) to (2, 4) at the top, then down to (2, -2), etc., write those coordinates accordingly.

But since no drawing is required here, we’ll stop at solving Problem 1.

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✔ Final Answer (Problem 1):

```
A (2, 5) G (-3, -1)
B (4, 4) H (-3, 2)
C (3, 2) I (-4, 4)
D (3, -1) J (-2, 5)
E (1, -3) K (-1, 4)
F (-1, -3) L (1, 4)
```

Let me know if you'd like help designing your own face for Problem 2!