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 (-7, -2)
- X: At (7, -2)
- M: At (-6, -2)
- W: At (-3, -2)
- K: At (-5, -1)
- G: At (-4, -1)
- 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 = (-7, -2) X = (7, -2)
M = (-6, -2) W = (-3, -2)
K = (-5, -1) G = (-4, -1)
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 given

We are given a list of points. Let’s interpret them and understand what shape they form.

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 plot these mentally or on paper to see the structure.

#### Step-by-step interpretation:

This appears to be a house with:
- A roof, walls, door, and possibly a chimney.

Let’s group the points:

##### Roof:
- W = (-4, 6)
- F = (4, 6)
- Y = (-6, 2)
- G = (6, 2)

→ These suggest a triangular roof: connecting Y → W → F → G → Y? Wait — but W and F are at height 6, and Y and G at height 2.

Wait — actually, likely the roof is:
- From Y(-6,2) to W(-4,6) to F(4,6) to G(6,2), forming a triangle-like roof over the house.

But wait — this might be two triangles or a trapezoid.

Alternatively, perhaps it's meant to be:
- Roof: W(-4,6), F(4,6), and then down to Y(-6,2) and G(6,2)? That doesn’t make sense.

Wait — let’s check if there's a peak.

Actually, looking at the points:

- W(-4,6) and F(4,6): both at top level
- But Y(-6,2) and G(6,2): lower
- So maybe the roof is formed by connecting:
- Y(-6,2) → W(-4,6) → F(4,6) → G(6,2) → back to Y?

That would be a symmetrical roof with a peak at the top center? No — W and F are both at y=6, so the roof has a flat top? That would be a flat roof, not typical.

Wait — maybe the roof is:
- W(-4,6) → F(4,6) → G(6,2) → Y(-6,2) → W?

But that skips some logic.

Let’s look for common patterns.

Another idea: perhaps the main house body is made from:
- M(-4,1), J(-2,1), Q(2,1), S(4,1), and down to N(-2,-5), X(6,-5), A(-6,-5), P(-4,-5), etc.

Wait — better to organize by structure.

Let’s try to connect the dots logically.

#### Possible structure:

1. Roof:
- Points: W(-4,6), F(4,6), G(6,2), Y(-6,2)
- Connect: Y(-6,2) → W(-4,6) → F(4,6) → G(6,2) → Y(-6,2)? That would be a trapezoidal roof.
- But it's asymmetric.

Wait — perhaps it's meant to be:
- Two lines from W(-4,6) to Y(-6,2) and from F(4,6) to G(6,2), forming a pointed roof?
- But that would require a peak at W and F — which are both at same height.

Alternatively, maybe W and F are top corners, and the peak is missing.

Wait — perhaps the roof is:
- From Y(-6,2) to W(-4,6) to F(4,6) to G(6,2), forming a triangular roof with a flat top?

No — that’s not standard.

Wait — maybe the roof is just:
- W(-4,6) → F(4,6) → G(6,2) → Y(-6,2) → W

But again, that's a quadrilateral.

Alternatively, maybe the house has:
- Top edge: W(-4,6) → F(4,6)
- Then down to: F(4,6) → G(6,2)
- G(6,2) → X(6,-5)
- X(6,-5) → N(-2,-5)
- N(-2,-5) → A(-6,-5)
- A(-6,-5) → Y(-6,2)
- Y(-6,2) → W(-4,6)

So the outer boundary of the house could be:

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

But that skips some points.

Now look at interior points:

- M(-4,1), J(-2,1), Q(2,1), S(4,1) — all at y=1
- B(2,-1), R(4,-1) — at y=-1

And also:
- P(-4,-5), which is same as A(-6,-5)? No — P is (-4,-5), A is (-6,-5)

So bottom wall from A(-6,-5) to P(-4,-5) to N(-2,-5) to X(6,-5)? But N is (-2,-5), X is (6,-5), so gap.

Wait — perhaps the base is from A(-6,-5) to P(-4,-5) to N(-2,-5) to X(6,-5)? But no connection between P and N?

Wait — maybe the bottom is from A(-6,-5) to P(-4,-5) to M(-4,1)? No — that doesn't help.

Let’s list all points and see possible connections.

Better idea: This is likely a house with:
- Roof: W(-4,6) → F(4,6) → G(6,2) → Y(-6,2) → W(-4,6)
- But that’s a trapezoid.

But we can see that:
- The left side of the roof: from Y(-6,2) to W(-4,6)
- The right side: from F(4,6) to G(6,2)
- Then the top: W to F
- Bottom: Y to G? Not directly.

Wait — perhaps the main house is a rectangle from:
- Left: x = -6 to x = 6
- Bottom: y = -5 to y = 2

But we have points like:
- A(-6,-5), P(-4,-5), N(-2,-5), X(6,-5)
- So base goes from A(-6,-5) to X(6,-5)? But not connected.

Wait — maybe the foundation is:
- A(-6,-5) → P(-4,-5) → N(-2,-5) → X(6,-5)? That skips.

Wait — perhaps the house is divided into parts.

Let’s try to draw it step by step.

#### Likely structure:

1. Roof:
- Two slanted sides:
- From W(-4,6) to Y(-6,2) — left roof
- From F(4,6) to G(6,2) — right roof
- And a horizontal top: W(-4,6) to F(4,6)

So roof: Y(-6,2) → W(-4,6) → F(4,6) → G(6,2) → Y(-6,2)

2. House walls:
- Left wall: Y(-6,2) → A(-6,-5)
- Right wall: G(6,2) → X(6,-5)
- Bottom: A(-6,-5) → X(6,-5)

But we have more points.

3. Front door:
- B(2,-1), R(4,-1) — at y=-1
- Possibly a rectangle from B(2,-1) to R(4,-1) to (4,-2) to (2,-2)? But no such points.

Wait — we have:
- C(2,-2), I(5,-2), V(2,-1), O(4,-1)

Wait — in part 1, we had:
- C = (2, -2)
- I = (5, -2)
- V = (2, -1)
- O = (4, -1)

But in part 2, the points are different.

Wait — in part 2, the points 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)

Now, let’s connect:

Step-by-step drawing:

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

Wait — but Y(-6,2) to W(-4,6) is one line, and F(4,6) to G(6,2) is another.

But we don’t have a direct connection from Y to G.

So perhaps:
- Roof: W(-4,6) → F(4,6) — top
- Then down to G(6,2) and Y(-6,2)
- Then connect Y to W and F to G

So the roof is a trapezoid: W → F → G → Y → W

Yes.

#### Walls:
- Left wall: Y(-6,2) → A(-6,-5)
- Right wall: G(6,2) → X(6,-5)
- Bottom: A(-6,-5) → X(6,-5)

But we have other points.

#### Chimney or details:
- M(-4,1), J(-2,1), Q(2,1), S(4,1) — all at y=1
- Maybe a window or balcony?

But notice:
- M(-4,1), J(-2,1), Q(2,1), S(4,1) — these are at same height, possibly a second floor window line?

Also:
- B(2,-1), R(4,-1) — at y=-1
- Perhaps a door?

But we also have:
- P(-4,-5), which is at same level as A(-6,-5) and N(-2,-5)

Wait — perhaps the bottom is not straight.

Let’s assume the house is built like this:

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

2. Main body:
- Left side: Y(-6,2) → A(-6,-5)
- Right side: G(6,2) → X(6,-5)
- Bottom: A(-6,-5) → X(6,-5)

3. Door:
- B(2,-1) and R(4,-1) — possibly a door from (2,-1) to (4,-1) down to (4,-2) to (2,-2), but we don’t have those.

Wait — we have:
- P(-4,-5), N(-2,-5), X(6,-5), A(-6,-5)

So the floor might be from A(-6,-5) to P(-4,-5) to N(-2,-5) to X(6,-5)

But that’s not continuous.

Wait — perhaps the house has an extension.

Alternatively, maybe the points are meant to be connected in order.

Let’s try to group:

Look at:
- M(-4,1), J(-2,1), Q(2,1), S(4,1) — all at y=1
- So connect: M → J → Q → S → M? That’s a horizontal line at y=1.

But only if they are connected.

Similarly:
- B(2,-1), R(4,-1) — horizontal at y=-1

And:
- P(-4,-5), N(-2,-5), X(6,-5) — at y=-5

Wait — but A(-6,-5) is also there.

So perhaps the bottom is from A(-6,-5) to P(-4,-5) to N(-2,-5) to X(6,-5)

But that’s not smooth.

Wait — maybe the house has:
- A chimney at the left?

Let’s think differently.

Perhaps the house is:

- Roof: W(-4,6) → F(4,6) → G(6,2) → Y(-6,2) → W(-4,6)
- Left wall: Y(-6,2) → A(-6,-5)
- Right wall: G(6,2) → X(6,-5)
- Bottom: A(-6,-5) → X(6,-5)

Then:
- Windows:
- M(-4,1), J(-2,1), Q(2,1), S(4,1) — connect M to J to Q to S — a horizontal line at y=1
- But not connected to walls.

Wait — maybe:
- M(-4,1) connects to P(-4,-5)? But P is at (-4,-5), M at (-4,1) — same x, so vertical line.

Similarly:
- J(-2,1) to N(-2,-5)?
- Q(2,1) to B(2,-1)?
- S(4,1) to R(4,-1)?

But we don’t have B(2,-1) and R(4,-1) — we do!

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

And:
- M(-4,1) → P(-4,-5)
- J(-2,1) → N(-2,-5)

And:
- A(-6,-5) → P(-4,-5) → N(-2,-5) → X(6,-5)

So the base is A(-6,-5) → P(-4,-5) → N(-2,-5) → X(6,-5)

But that’s not straight.

Wait — perhaps the house has:
- A left section from A(-6,-5) to P(-4,-5) to M(-4,1) to Y(-6,2)
- Then middle: P(-4,-5) to N(-2,-5) to J(-2,1) to M(-4,1)
- Then right: N(-2,-5) to X(6,-5) to G(6,2) to J(-2,1)? No.

Too complex.

Alternative idea: The points are meant to be connected in pairs to form a house.

Let’s try to plot the key points:

- Roof peak: W(-4,6) and F(4,6) — top corners
- Roof sides: W to Y(-6,2), F to G(6,2)
- Wall: Y to A(-6,-5), G to X(6,-5)
- Base: A to X

Then:
- Window line: M(-4,1), J(-2,1), Q(2,1), S(4,1) — connect them horizontally
- Door: B(2,-1), R(4,-1) — connect them, and down to (2,-2), (4,-2)? But no.

But we have:
- P(-4,-5), N(-2,-5), X(6,-5), A(-6,-5)

So the bottom is from A(-6,-5) to P(-4,-5) to N(-2,-5) to X(6,-5)

But that’s not continuous — skip from P to N.

Wait — perhaps the house has a porch or extension.

Alternatively, maybe the points are for a house with a chimney.

But without a diagram, it's hard.

However, since this is a worksheet, the intention is to plot the points and connect them in a logical way.

Recommended approach for Part 2:

Step 1: Plot all the given points on the blank coordinate plane.

Step 2: Connect them in a way that makes a house.

Here’s a logical connection:

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

2. Walls:
- Y(-6,2) → A(-6,-5)
- G(6,2) → X(6,-5)
- A(-6,-5) → X(6,-5)

3. Interior features:
- M(-4,1) → J(-2,1) → Q(2,1) → S(4,1) → M(-4,1) — a horizontal line (maybe windows)
- M(-4,1) → P(-4,-5) — left wall segment
- J(-2,1) → N(-2,-5) — middle wall
- Q(2,1) → B(2,-1) — right wall
- S(4,1) → R(4,-1) — right wall
- B(2,-1) → R(4,-1) — door

But we don’t have a point at (2,-2) or (4,-2).

Alternatively, maybe the door is from B(2,-1) to R(4,-1) to (4,-2) to (2,-2) to B — but no such points.

Wait — perhaps the door is just a rectangle at (2,-1) to (4,-1) to (4,-2) to (2,-2), but we only have B and R.

So likely, the house is:

- Roof: W(-4,6) → F(4,6) → G(6,2) → Y(-6,2) → W(-4,6)
- Left wall: Y(-6,2) → A(-6,-5)
- Right wall: G(6,2) → X(6,-5)
- Bottom: A(-6,-5) → X(6,-5)
- Window line: M(-4,1) → J(-2,1) → Q(2,1) → S(4,1)
- Vertical lines: M(-4,1) → P(-4,-5), J(-2,1) → N(-2,-5), Q(2,1) → B(2,-1), S(4,1) → R(4,-1)
- Door: B(2,-1) → R(4,-1)

And that’s it.

So when you plot and connect:
- The roof is a trapezoid
- The walls are rectangular
- There are vertical supports and a door

It should resemble a house with a flat roof, windows, and a door.

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✔ Final Answer Summary:

#### Part 1: Coordinates

| Letter | 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 | (-7, -2) |
| X | (7, -2) |
| M | (-6, -2) |
| W | (-3, -2) |
| K | (-5, -1) |
| G | (-4, -1) |
| C | (2, -2) |
| I | (5, -2) |
| V | (2, -1) |
| O | (4, -1) |

#### Part 2: Drawing Instructions

Plot and connect the following points in order to form a house:

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

2. Walls:
- Y(-6,2) → A(-6,-5)
- G(6,2) → X(6,-5)
- A(-6,-5) → X(6,-5)

3. Vertical supports:
- M(-4,1) → P(-4,-5)
- J(-2,1) → N(-2,-5)
- Q(2,1) → B(2,-1)
- S(4,1) → R(4,-1)

4. Horizontal lines:
- M(-4,1) → J(-2,1) → Q(2,1) → S(4,1)
- B(2,-1) → R(4,-1)

This will create a house with a roof, walls, windows, and a door.

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✔ You're done! Just write the coordinates and draw the house accordingly.