Coordinate Plane Pictures Worksheet for students to practice identifying and plotting coordinates on a graph.

Problem Analysis:

The worksheet consists of two main tasks:
1. Task 1: Identify the coordinates of each labeled point in the given coordinate plane picture.
2. Task 2: Use the provided coordinate points to draw a house on a blank coordinate plane.

Let's solve each task step by step.

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Task 1: Write down the coordinates of each letter within the given picture.

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

#### Step 2: Identify Coordinates for Each Point
We will read the coordinates of each labeled point from the graph:

- P: Located at (−4, 5).
- x-coordinate: −4 (4 units left of the origin).
- y-coordinate: 5 (5 units above the origin).
- P = (−4, 5)

- F: Located at (4, 5).
- x-coordinate: 4 (4 units right of the origin).
- y-coordinate: 5 (5 units above the origin).
- F = (4, 5)

- Q: Located at (−3, 2).
- x-coordinate: −3 (3 units left of the origin).
- y-coordinate: 2 (2 units above the origin).
- Q = (−3, 2)

- E: Located at (5, 2).
- x-coordinate: 5 (5 units right of the origin).
- y-coordinate: 2 (2 units above the origin).
- E = (5, 2)

- A: Located at (−2, 3).
- x-coordinate: −2 (2 units left of the origin).
- y-coordinate: 3 (3 units above the origin).
- A = (−2, 3)

- B: Located at (3, 3).
- x-coordinate: 3 (3 units right of the origin).
- y-coordinate: 3 (3 units above the origin).
- B = (3, 3)

- L: Located at (−2, 1).
- x-coordinate: −2 (2 units left of the origin).
- y-coordinate: 1 (1 unit above the origin).
- L = (−2, 1)

- N: Located at (4, 1).
- x-coordinate: 4 (4 units right of the origin).
- y-coordinate: 1 (1 unit above the origin).
- N = (4, 1)

- R: Located at (−7, 0).
- x-coordinate: −7 (7 units left of the origin).
- y-coordinate: 0 (on the x-axis).
- R = (−7, 0)

- D: Located at (7, 0).
- x-coordinate: 7 (7 units right of the origin).
- y-coordinate: 0 (on the x-axis).
- D = (7, 0)

- S: Located at (−6, −2).
- x-coordinate: −6 (6 units left of the origin).
- y-coordinate: −2 (2 units below the origin).
- S = (−6, −2)

- X: Located at (6, −2).
- x-coordinate: 6 (6 units right of the origin).
- y-coordinate: −2 (2 units below the origin).
- X = (6, −2)

- M: Located at (−5, −3).
- x-coordinate: −5 (5 units left of the origin).
- y-coordinate: −3 (3 units below the origin).
- M = (−5, −3)

- W: Located at (−3, −3).
- x-coordinate: −3 (3 units left of the origin).
- y-coordinate: −3 (3 units below the origin).
- W = (−3, −3)

- K: Located at (−4, −1).
- x-coordinate: −4 (4 units left of the origin).
- y-coordinate: −1 (1 unit below the origin).
- K = (−4, −1)

- G: Located at (−1, −1).
- x-coordinate: −1 (1 unit left of the origin).
- y-coordinate: −1 (1 unit below the origin).
- G = (−1, −1)

- C: Located at (1, −4).
- x-coordinate: 1 (1 unit right of the origin).
- y-coordinate: −4 (4 units below the origin).
- C = (1, −4)

- I: Located at (5, −4).
- x-coordinate: 5 (5 units right of the origin).
- y-coordinate: −4 (4 units below the origin).
- I = (5, −4)

- V: Located at (3, −2).
- x-coordinate: 3 (3 units right of the origin).
- y-coordinate: −2 (2 units below the origin).
- V = (3, −2)

- O: Located at (4, −3).
- x-coordinate: 4 (4 units right of the origin).
- y-coordinate: −3 (3 units below the origin).
- O = (4, −3)

#### Final Answer for Task 1:
\[
\boxed{
\begin{aligned}
&P = (-4, 5) & F = (4, 5) \\
&Q = (-3, 2) & E = (5, 2) \\
&A = (-2, 3) & B = (3, 3) \\
&L = (-2, 1) & N = (4, 1) \\
&R = (-7, 0) & D = (7, 0) \\
&S = (-6, -2) & X = (6, -2) \\
&M = (-5, -3) & W = (-3, -3) \\
&K = (-4, -1) & G = (-1, -1) \\
&C = (1, -4) & I = (5, -4) \\
&V = (3, -2) & O = (4, -3)
\end{aligned}
}
\]

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Task 2: Draw your own house using the coordinate points given along side.

#### Step 1: List the Given Coordinates
The coordinates provided are:
- W = (−4, 6)
- F = (4, 6)
- Y = (−6, 2)
- G = (6, 2)
- N = (−2, −5)
- X = (6, −5)
- M = (−4, 1)
- J = (−2, 1)
- Q = (2, 1)
- S = (4, 1)
- A = (−6, −5)
- P = (−4, −5)
- B = (2, −1)
- R = (4, −1)

#### Step 2: Plot the Points
Plot each point on the coordinate plane:
1. W = (−4, 6): Top-left corner of the roof.
2. F = (4, 6): Top-right corner of the roof.
3. Y = (−6, 2): Left edge of the house.
4. G = (6, 2): Right edge of the house.
5. N = (−2, −5): Bottom-left corner of the house.
6. X = (6, −5): Bottom-right corner of the house.
7. M = (−4, 1): Left window.
8. J = (−2, 1): Left window.
9. Q = (2, 1): Right window.
10. S = (4, 1): Right window.
11. A = (−6, −5): Bottom-left extension.
12. P = (−4, −5): Bottom-left extension.
13. B = (2, −1): Door.
14. R = (4, −1): Door.

#### Step 3: Connect the Points
Connect the points to form the shape of a house:
1. Connect W to F to form the roof.
2. Connect Y to G to form the top edge of the house.
3. Connect N to X to form the bottom edge of the house.
4. Connect M, J, Q, and S to form windows.
5. Connect B and R to form the door.
6. Add any additional details (e.g., chimney, decorations) if desired.

#### Final Answer for Task 2:
Draw the house by plotting and connecting the points as described above. The final drawing should resemble a house with a triangular roof, rectangular body, windows, and a door.

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Final Answer Summary:

\[
\boxed{
\begin{aligned}
&\text{Task 1:} \\
&P = (-4, 5), F = (4, 5), Q = (-3, 2), E = (5, 2), A = (-2, 3), B = (3, 3), \\
&L = (-2, 1), N = (4, 1), R = (-7, 0), D = (7, 0), S = (-6, -2), X = (6, -2), \\
&M = (-5, -3), W = (-3, -3), K = (-4, -1), G = (-1, -1), C = (1, -4), I = (5, -4), \\
&V = (3, -2), O = (4, -3). \\
&\text{Task 2: Draw the house using the provided coordinates.}
\end{aligned}
}
\]