Coordinate Plane Worksheets - Math Monks - Free Printable

Let's solve the Coordinate Plane Pictures Worksheet step by step.

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

We are given a coordinate plane with various labeled points (letters). We need to determine the coordinates of each point based on its position on the grid.

We'll go through each letter and read its x-coordinate (horizontal) and y-coordinate (vertical).

#### Coordinates from the image:

Let’s analyze the graph carefully:

- P: At (-2, 5)
- F: At (2, 4)
- Q: At (-5, 1)
- E: At (5, 1)
- A: At (-1, 3)
- B: At (1, 3)
- L: At (-4, 0)
- N: At (3, 0)
- R: At (-7, 0)
- D: At (7, 0)
- S: At (-8, -2)
- X: At (8, -2)
- M: At (-6, -2)
- W: At (-3, -2)
- K: At (-5, -2)
- G: At (-4, -2)
- C: At (2, -2)
- I: At (5, -2)
- V: At (2, -1)
- O: At (4, -1)

> ✔ Now fill in the blanks:

```
P = (-2, 5) F = (2, 4)
Q = (-5, 1) E = (5, 1)
A = (-1, 3) B = (1, 3)
L = (-4, 0) N = (3, 0)
R = (-7, 0) D = (7, 0)
S = (-8, -2) X = (8, -2)
M = (-6, -2) W = (-3, -2)
K = (-5, -2) G = (-4, -2)
C = (2, -2) I = (5, -2)
V = (2, -1) O = (4, -1)
```

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Part 2: Draw your own house using the coordinate points

We’re given a list of points. Let's interpret them and understand how they form a house.

Given points:
- 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)

Let’s connect these points logically to form a house shape.

#### Step-by-step construction:

1. Roof (Triangle):
- W = (-4, 6), F = (4, 6), and likely connected via a peak.
- But wait — both W and F are at y=6, so maybe the roof is a triangle with apex above?
- Actually, let's see: The roof might be formed by connecting W → F → ? → W
- But no point is above (0,7), so perhaps it's a flat roof?

Wait — looking at the pattern, perhaps we should look for common house shapes:

Let’s try grouping:

- Top of roof: W = (-4,6), F = (4,6) → this could be a horizontal top edge.
- Then connect to lower points.

But that would be a rectangle? Wait — better idea: typical house has:
- A triangular roof
- A rectangular base
- A door

Let’s re-express all points:

| Point | Coordinates |
|-------|-------------|
| 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) |

Now let's think about forming a house:

#### Possible structure:

1. Roof: Triangular roof with peak at (0,6)? But we don’t have (0,6). However, W(-4,6) and F(4,6) are at same height — so maybe flat roof?

But houses usually have slanted roofs.

Wait — maybe the roof is made from:
- W(-4,6) → Y(-6,2) → G(6,2) → F(4,6)? That seems odd.

Alternatively, perhaps:

- Roof: W(-4,6) → F(4,6) → then down to some point?

Wait — actually, let’s consider:

Maybe the roof is:
- From W(-4,6) to F(4,6) → flat roof?
- Then walls: from W(-4,6) down to M(-4,1), then to J(-2,1), etc.

But we also have:
- Y(-6,2), G(6,2) — these are lower than roof.

Wait — here’s a better way: let’s plot key features.

Let’s try to group into parts:

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#### House Design Interpretation

Let’s suppose the house has:

1. Roof: A triangle with vertices at:
- W(-4,6)
- F(4,6)
- But no peak — unless it's a flat roof, or maybe the roof is from W to F and then down?

Wait — another possibility: the roof is formed by:
- W(-4,6) → Y(-6,2) → G(6,2) → F(4,6) → back to W?

That makes a trapezoidal roof? Unlikely.

Wait — maybe the roof is:
- From W(-4,6) → Y(-6,2) → A(-6,-5) → P(-4,-5) → W(-4,6)? No, that's a side.

Wait — let's check if there's a triangular roof.

Perhaps:
- Peak at (0,6)? But not listed.

Wait — notice that W(-4,6) and F(4,6) are symmetric.

Also:
- M(-4,1), J(-2,1), Q(2,1), S(4,1) — these are at y=1
- B(2,-1), R(4,-1) — at y=-1
- A(-6,-5), P(-4,-5), N(-2,-5), X(6,-5) — at y=-5

Ah! Maybe:

- Main house body: from x = -6 to x = 6, but only certain segments.

Let’s try to reconstruct:

Likely House Structure:

#### 1. Roof (Triangle):
- Points: W(-4,6), F(4,6), and maybe a peak at (0,7)? Not given.

Wait — perhaps the roof is not a triangle, but two slanted sides.

But we have:
- W(-4,6) → Y(-6,2)
- F(4,6) → G(6,2)

So:
- Left roof: W(-4,6) to Y(-6,2)
- Right roof: F(4,6) to G(6,2)

Then the bottom of roof connects Y(-6,2) to G(6,2)? But that’s long.

But then we have:
- Y(-6,2) → A(-6,-5) → P(-4,-5) → M(-4,1) → W(-4,6) — that’s left wall.

Similarly:
- G(6,2) → X(6,-5) → N(-2,-5)? No — X(6,-5) to N(-2,-5)? That doesn't make sense.

Wait — let's look at the bottom foundation:
- A(-6,-5), P(-4,-5), N(-2,-5), X(6,-5)

But N is at (-2,-5), X at (6,-5) — so maybe the house base goes from x = -6 to x = 6 at y = -5.

But then why are there multiple points?

Wait — maybe the house has:
- Left wall: from Y(-6,2) down to A(-6,-5)
- Right wall: from G(6,2) down to X(6,-5)
- Front wall: from A(-6,-5) to X(6,-5)? But that’s too long.

But we have:
- M(-4,1), J(-2,1), Q(2,1), S(4,1) — possibly windows or doors?

And:
- B(2,-1), R(4,-1) — maybe a door?

Wait — perhaps the main house is a rectangle from:
- Bottom: A(-6,-5) to X(6,-5) — but that’s wide
- Top: Y(-6,2) to G(6,2) — so height from y=-5 to y=2

Then the roof is:
- From W(-4,6) to Y(-6,2) — left roof
- From F(4,6) to G(6,2) — right roof
- And top of roof is W(-4,6) to F(4,6)? That’s flat.

Wait — so the roof is two slanted lines from W and F down to Y and G, and the top edge is from W to F at y=6?

But that would mean the roof is flat across the top? Yes — possible.

So the roof consists of:
- W(-4,6) → F(4,6) — flat top
- W(-4,6) → Y(-6,2) — left side
- F(4,6) → G(6,2) — right side

Then the walls:
- Left: Y(-6,2) → A(-6,-5)
- Right: G(6,2) → X(6,-5)
- Bottom: A(-6,-5) → X(6,-5)

But we have many other points like M, J, Q, S, P, N, B, R.

Wait — perhaps:
- M(-4,1), J(-2,1), Q(2,1), S(4,1) — these could be windows or door frame?

And:
- P(-4,-5), N(-2,-5) — but N is at (-2,-5), which is on the bottom.

Wait — maybe the door is from B(2,-1) to R(4,-1) — at y=-1, so above the ground.

But the foundation is at y=-5.

Wait — perhaps the house is built on a foundation from y=-5 to y=2, with a roof from y=2 to y=6.

But let’s try to connect the dots as per standard practice.

Recommended Drawing Steps:

To draw the house, connect the points in order to form a recognizable shape.

Let’s assume the following connections:

#### 1. Roof:
- W(-4,6) → F(4,6) → G(6,2) → Y(-6,2) → W(-4,6)

But that skips W to Y.

Better:
- W(-4,6) → F(4,6) → G(6,2) → X(6,-5) → N(-2,-5) → P(-4,-5) → A(-6,-5) → Y(-6,2) → W(-4,6)

But that includes many points.

Wait — perhaps the intended house is:

- Roof: W(-4,6) → F(4,6) → G(6,2) → Y(-6,2) → W(-4,6) — forms a trapezoid roof
- Left wall: Y(-6,2) → A(-6,-5)
- Right wall: G(6,2) → X(6,-5)
- Base: A(-6,-5) → X(6,-5)

But then where do M, J, Q, S, P, N, B, R come in?

Wait — maybe:
- Windows: M(-4,1), J(-2,1), Q(2,1), S(4,1) — could be window tops
- Door: B(2,-1), R(4,-1) — maybe a door at bottom

But we also have:
- P(-4,-5), N(-2,-5) — on the base line

Wait — perhaps the house is a rectangular building with:
- Left wall: Y(-6,2) → A(-6,-5)
- Right wall: G(6,2) → X(6,-5)
- Front: A(-6,-5) → X(6,-5)
- Back: Y(-6,2) → G(6,2)
- Roof: W(-4,6) → F(4,6) — flat roof, supported by W and F

But W and F are not on the walls.

Wait — perhaps W and F are peaks of a gabled roof?

But W(-4,6) and F(4,6) are at same height — so maybe the roof is flat.

Alternatively, the roof is:
- W(-4,6) → F(4,6) — ridge
- W(-4,6) → Y(-6,2) — left slope
- F(4,6) → G(6,2) — right slope

Then:
- Y(-6,2) → A(-6,-5) — left wall
- G(6,2) → X(6,-5) — right wall
- A(-6,-5) → X(6,-5) — floor

Now, what about the other points?

- M(-4,1), J(-2,1), Q(2,1), S(4,1) — could be windows or doorway frame
- B(2,-1), R(4,-1) — could be door

So perhaps:
- Door: B(2,-1) to R(4,-1), and up to Q(2,1) and S(4,1)? So a rectangular door from (2,-1) to (4,1)

Yes — that makes sense.

So the door is:
- B(2,-1) → R(4,-1) → S(4,1) → Q(2,1) → B(2,-1)

And windows:
- M(-4,1) → J(-2,1) → P(-4,-5)? No — P is at (-4,-5), so maybe not.

Wait — M(-4,1), J(-2,1) — maybe a window at left?

But J(-2,1) and Q(2,1) — maybe a horizontal line?

Wait — perhaps:
- Window: M(-4,1) → J(-2,1) → Q(2,1) → S(4,1) — but that’s long.

But S(4,1) is at (4,1), so maybe just:
- Windows: M(-4,1) → J(-2,1) and Q(2,1) → S(4,1)

But no verticals.

Alternatively, the house is drawn by connecting the points in a specific order.

Since the worksheet says "draw your own house", you can choose how to connect the points.

But to help you, here’s a recommended way to draw the house:

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✔ How to Draw the House:

1. Roof:
- Start at W(-4,6)
- Draw to F(4,6) — top ridge
- Draw to G(6,2) — right roof slope
- Draw to Y(-6,2) — left roof slope
- Back to W(-4,6)

2. Walls:
- Y(-6,2) → A(-6,-5) — left wall
- G(6,2) → X(6,-5) — right wall
- A(-6,-5) → X(6,-5) — base

3. Door:
- B(2,-1) → R(4,-1) → S(4,1) → Q(2,1) → B(2,-1)

4. Windows:
- M(-4,1) → J(-2,1) → P(-4,-5)? No — P is at (-4,-5), so maybe not.

Wait — perhaps M(-4,1), J(-2,1), Q(2,1), S(4,1) are window tops, and they are connected horizontally.

But without bottoms, hard to say.

Alternatively, maybe:
- The house has a central section with windows.

But since the instructions say “draw your own house”, you can use your creativity.

However, to complete the task, here’s a logical sequence to connect the points to form a house:

Suggested Order to Connect Points:

1. Roof:
- W(-4,6) → F(4,6) → G(6,2) → Y(-6,2) → W(-4,6)

2. Left Wall:
- Y(-6,2) → A(-6,-5)

3. Right Wall:
- G(6,2) → X(6,-5)

4. Base:
- A(-6,-5) → X(6,-5)

5. Door:
- B(2,-1) → R(4,-1) → S(4,1) → Q(2,1) → B(2,-1)

6. Window:
- M(-4,1) → J(-2,1) → P(-4,-5)? No — P is at (-4,-5), so maybe M(-4,1) → J(-2,1) is a window top.

But you can add a rectangle from M(-4,1) to J(-2,1) to (-2,0) to (-4,0) — but not given.

So perhaps just plot the points and connect them in a meaningful way.

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Final Answer Summary:

#### Part 1: Coordinates

```
P = (-2, 5) F = (2, 4)
Q = (-5, 1) E = (5, 1)
A = (-1, 3) B = (1, 3)
L = (-4, 0) N = (3, 0)
R = (-7, 0) D = (7, 0)
S = (-8, -2) X = (8, -2)
M = (-6, -2) W = (-3, -2)
K = (-5, -2) G = (-4, -2)
C = (2, -2) I = (5, -2)
V = (2, -1) O = (4, -1)
```

#### Part 2: Drawing Instructions

To draw the house:

1. Plot all the given points.
2. Connect them in this order:
- W(-4,6) → F(4,6) → G(6,2) → X(6,-5) → A(-6,-5) → Y(-6,2) → W(-4,6)
- This forms the main house with a gabled roof.
3. Add the door:
- B(2,-1) → R(4,-1) → S(4,1) → Q(2,1) → B(2,-1)
4. Add windows:
- M(-4,1) → J(-2,1) → Q(2,1) → S(4,1) — horizontal line (optional)
- Or draw small rectangles at M, J, Q, S.

You now have a house with a roof, walls, door, and windows.

✔ Done!

Let me know if you’d like a visual sketch description or a printable version.