Coordinate Plane Worksheets - 4 quadrants - Free Printable

Problem Overview:

The task involves two main parts:
1. Finding and plotting the coordinates of each point on a given face (Part 1).
2. Creating your own face using a grid and writing down the coordinates of its outline (Part 2).

Let's solve each part step by step.

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Part 1: Find and Plot the Coordinates of Each Point of the Face

#### Step 1: Understand the Grid
- The grid has an \( x \)-axis (horizontal) and a \( y \)-axis (vertical).
- The origin is at \( (0, 0) \).
- Positive \( x \)-values are to the right, negative \( x \)-values are to the left.
- Positive \( y \)-values are above the origin, negative \( y \)-values are below the origin.

#### Step 2: Identify Each Point and Write Down Its Coordinates
We will identify each labeled point (A, B, C, D, E, F, G, H, I, J, K, L) and determine its coordinates based on its position on the grid.

1. Point A: Located at \( (3, 5) \).
2. Point B: Located at \( (4, 4) \).
3. Point C: Located at \( (4, 2) \).
4. Point D: Located at \( (3, -1) \).
5. Point E: Located at \( (2, -4) \).
6. Point F: Located at \( (-2, -4) \).
7. Point G: Located at \( (-3, -1) \).
8. Point H: Located at \( (-3, 2) \).
9. Point I: Located at \( (-4, 4) \).
10. Point J: Located at \( (-3, 5) \).
11. Point K: Located at \( (-1, 4) \).
12. Point L: Located at \( (1, 4) \).

#### Final Answer for Part 1:
\[
\begin{aligned}
&\text{A} = (3, 5), &\text{G} = (-3, -1), \\
&\text{B} = (4, 4), &\text{H} = (-3, 2), \\
&\text{C} = (4, 2), &\text{I} = (-4, 4), \\
&\text{D} = (3, -1), &\text{J} = (-3, 5), \\
&\text{E} = (2, -4), &\text{K} = (-1, 4), \\
&\text{F} = (-2, -4), &\text{L} = (1, 4).
\end{aligned}
\]

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Part 2: Draw Your Own Face Using the Grid and Write Down the Coordinates of the Outline

#### Step 1: Design Your Own Face
- Use the blank grid provided in the worksheet.
- Draw a face or any shape you like.
- Ensure that the outline consists of straight lines connecting points.

#### Step 2: Label the Points
- Label the points on your drawing as A, B, C, D, etc., in a sequential order along the outline.
- Make sure to include all key points that define the shape.

#### Step 3: Determine the Coordinates
- For each labeled point, determine its \( (x, y) \) coordinates based on the grid.

#### Example:
Suppose you draw a simple face with the following points:
- A: Nose at \( (0, 0) \)
- B: Right eye at \( (1, 2) \)
- C: Left eye at \( (-1, 2) \)
- D: Right cheek at \( (2, -1) \)
- E: Left cheek at \( (-2, -1) \)
- F: Mouth at \( (0, -2) \)
- G: Chin at \( (0, -3) \)

#### Final Answer for Part 2:
\[
\begin{aligned}
&\text{A} = (0, 0), &\text{H} = (\text{not used}), \\
&\text{B} = (1, 2), &\text{I} = (\text{not used}), \\
&\text{C} = (-1, 2), &\text{J} = (\text{not used}), \\
&\text{D} = (2, -1), &\text{K} = (\text{not used}), \\
&\text{E} = (-2, -1), &\text{L} = (\text{not used}), \\
&\text{F} = (0, -2), &\text{M} = (\text{not used}), \\
&\text{G} = (0, -3), &\text{N} = (\text{not used}).
\end{aligned}
\]

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Final Answers:

\[
\boxed{
\begin{aligned}
&\text{Part 1:} \\
&\text{A} = (3, 5), \text{G} = (-3, -1), \\
&\text{B} = (4, 4), \text{H} = (-3, 2), \\
&\text{C} = (4, 2), \text{I} = (-4, 4), \\
&\text{D} = (3, -1), \text{J} = (-3, 5), \\
&\text{E} = (2, -4), \text{K} = (-1, 4), \\
&\text{F} = (-2, -4), \text{L} = (1, 4). \\
&\text{Part 2: Depends on your design. Provide coordinates similarly.}
\end{aligned}
}
\]