Coordinate Plane Pictures Worksheet featuring a graph with labeled points and instructions to determine coordinates and draw a house.
Coordinate Plane Pictures Worksheet with a graph showing a geometric figure and a list of points to identify coordinates, plus a section to draw a house using given coordinate points.
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Step-by-step solution for: Coordinate Plane Worksheets - Math Monks
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Show Answer Key & Explanations
Step-by-step solution for: Coordinate Plane Worksheets - Math Monks
Let's solve the Coordinate Plane Pictures Worksheet step by step.
---
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)
```
---
We’re given a list of points. Let's plot them and connect them appropriately to 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)
Now let's interpret how these points form a house.
Let’s group and connect them logically:
#### Roof:
- W = (-4, 6)
- F = (4, 6)
- Connect W to F → this is the top edge of the roof.
- But also, there might be a triangular roof.
Wait — actually, looking at the points:
- W = (-4, 6), F = (4, 6) → horizontal line at top
- But we have Y = (-6, 2), G = (6, 2) → lower points
But wait — perhaps the roof is made from Y, W, F, G?
Alternatively, let’s try to identify shapes.
Let’s look for patterns:
##### Main House Body:
- Points like M(-4,1), J(-2,1), Q(2,1), S(4,1) → horizontal line at y=1
- Then down to bottom: A(-6,-5), P(-4,-5), N(-2,-5), X(6,-5) → but not symmetric
Wait — let’s recheck:
Actually, the house likely has:
- Roof: triangle or trapezoid
- House body: rectangle
- Door: rectangle
- Chimney?
Let’s analyze:
Look at:
- W(-4,6), F(4,6) → top corners of roof?
- Y(-6,2), G(6,2) → lower roof points?
- So maybe roof is quadrilateral: Y → W → F → G → Y?
But that would make a wide roof.
Alternatively, consider:
Let’s plot key features:
#### Top of roof:
- W(-4,6), F(4,6) → horizontal line
- Then down to M(-4,1), S(4,1) → so vertical lines from W to M and F to S?
Yes! That makes sense.
So:
- Left side of roof: W(-4,6) → M(-4,1)
- Right side: F(4,6) → S(4,1)
- Bottom of roof: M(-4,1) → S(4,1)
But then where does Y(-6,2) and G(6,2) fit?
Maybe extended sides?
Wait — perhaps the house is:
- Roof: triangle or pentagon?
Let’s think differently.
Wait — here's a better idea: The house might have:
- Roof: from Y(-6,2) to W(-4,6) to F(4,6) to G(6,2)
- Then down to base: G(6,2) to X(6,-5)? But X is (6,-5), which is far down.
Wait — let’s list all points again:
| 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 notice:
- From W(-4,6) to M(-4,1) → vertical line
- From F(4,6) to S(4,1) → vertical line
- From M(-4,1) to S(4,1) → horizontal line (top of house)
- Then down to P(-4,-5) and X(6,-5)?
Wait — P(-4,-5) and X(6,-5) are not aligned.
But A(-6,-5), P(-4,-5), N(-2,-5), X(6,-5) — all at y=-5?
Yes!
So:
- Bottom of house: from A(-6,-5) to P(-4,-5) to N(-2,-5) to X(6,-5)? That seems odd.
Wait — perhaps the house is:
- Left wall: from Y(-6,2) to A(-6,-5) → vertical
- Right wall: from G(6,2) to X(6,-5) → vertical
- Roof: from Y(-6,2) to W(-4,6) to F(4,6) to G(6,2)
- Front wall: from W(-4,6) to M(-4,1), then to P(-4,-5), etc.
Wait — let’s see if there’s a pattern.
Notice:
- W(-4,6) → M(-4,1) → P(-4,-5) → A(-6,-5) → Y(-6,2) → back to W?
That could be a left side.
Similarly:
- F(4,6) → S(4,1) → R(4,-1) → X(6,-5) → G(6,2) → F(4,6)?
No — R(4,-1) is above X(6,-5).
Wait — maybe the door is between B(2,-1) and R(4,-1)?
And window at Q(2,1), J(-2,1), etc.
Let’s reconstruct the house:
1. Roof:
- Start at Y(-6,2) → W(-4,6) → F(4,6) → G(6,2) → back to Y(-6,2)
- This forms a trapezoidal roof
2. Left Wall:
- Y(-6,2) → A(-6,-5) → P(-4,-5) → M(-4,1) → W(-4,6) → back to Y
- Wait — but M(-4,1) to W(-4,6) is already part of roof
Better:
- Left side of house:
- Y(-6,2) → A(-6,-5) → P(-4,-5) → M(-4,1) → W(-4,6) → Y(-6,2)
But that skips some points.
Wait — M(-4,1) and J(-2,1), Q(2,1), S(4,1) are at y=1 — possibly windows?
Also:
- B(2,-1) and R(4,-1) → possibly door
Let’s try to connect:
This appears to be a house with a chimney.
Let’s break it into parts:
#### 1. Roof (Trapezoid):
- Y(-6,2) → W(-4,6) → F(4,6) → G(6,2) → Y(-6,2)
#### 2. Main House Walls:
- Left wall: Y(-6,2) → A(-6,-5) → P(-4,-5) → M(-4,1) → W(-4,6) → Y(-6,2)
Wait — but M(-4,1) is below W(-4,6) — so W to M is vertical.
But P(-4,-5) to M(-4,1) is vertical.
So left wall: A(-6,-5) → P(-4,-5) → M(-4,1) → W(-4,6) → Y(-6,2) → A(-6,-5)
Similarly, right wall:
- G(6,2) → X(6,-5) → N(-2,-5)? No — N(-2,-5) is not connected.
Wait — X(6,-5) is at x=6, y=-5
Then N(-2,-5) is at x=-2, y=-5 — so probably bottom edge?
Wait — A(-6,-5), P(-4,-5), N(-2,-5), X(6,-5) — all at y=-5
So bottom of house: A(-6,-5) → P(-4,-5) → N(-2,-5) → X(6,-5)
But that skips M(-4,1), etc.
Wait — perhaps the main floor is from M(-4,1) to J(-2,1) to Q(2,1) to S(4,1)
Then bottom floor from P(-4,-5) to N(-2,-5) to X(6,-5)?
Not consistent.
Wait — perhaps the house has:
- Roof: Y(-6,2) → W(-4,6) → F(4,6) → G(6,2)
- Left wall: Y(-6,2) → A(-6,-5)
- Right wall: G(6,2) → X(6,-5)
- Bottom: A(-6,-5) → X(6,-5)
But then where do other points go?
Wait — M(-4,1), J(-2,1), Q(2,1), S(4,1) — all at y=1 — maybe windows?
And B(2,-1), R(4,-1) — maybe door?
Also P(-4,-5), N(-2,-5) — maybe foundation?
Let’s try connecting:
Let’s assume the house is composed of:
1. Roof:
- W(-4,6) → F(4,6) → G(6,2) → Y(-6,2) → W(-4,6)
But Y(-6,2) to W(-4,6) is diagonal.
2. Left wall:
- Y(-6,2) → A(-6,-5)
3. Right wall:
- G(6,2) → X(6,-5)
4. Bottom:
- A(-6,-5) → X(6,-5)
5. Front of house (maybe porch?):
- M(-4,1) → J(-2,1) → Q(2,1) → S(4,1) → R(4,-1) → B(2,-1) → P(-4,-5) → M(-4,1)
Wait — too many points.
Wait — M(-4,1), J(-2,1), Q(2,1), S(4,1) — all at y=1 → maybe second story window line
Then P(-4,-5), N(-2,-5), X(6,-5) — at y=-5 → foundation
But P(-4,-5) and M(-4,1) are both at x=-4 — so left wall of house from M(-4,1) to P(-4,-5)
Similarly, S(4,1) to R(4,-1) — but R is at (4,-1), not (4,-5)
Wait — R(4,-1) is at y=-1, not -5.
So perhaps:
- Left wall: M(-4,1) → P(-4,-5)
- Right wall: S(4,1) → R(4,-1)
- Bottom: R(4,-1) → B(2,-1) → ?
Wait — B(2,-1), R(4,-1) — horizontal line at y=-1
But P(-4,-5) is at y=-5 — so maybe basement?
This is confusing.
Let’s look for symmetry.
The intended shape is likely:
- 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)
- Windows: M(-4,1), J(-2,1), Q(2,1), S(4,1) — just dots
- Door: B(2,-1), R(4,-1) — horizontal line
- Chimney: Maybe W(-4,6) to M(-4,1)? Or something else?
But M(-4,1) is inside.
Wait — perhaps the house has:
- Roof: Y(-6,2) → W(-4,6) → F(4,6) → G(6,2)
- Left side: W(-4,6) → M(-4,1) → P(-4,-5) → A(-6,-5) → Y(-6,2)
- Right side: F(4,6) → S(4,1) → R(4,-1) → X(6,-5) → G(6,2)
But that doesn't close.
Wait — perhaps M(-4,1) is a window, not wall.
Let’s try plotting the points in order:
To draw the house, connect the points in the following way:
1. Roof:
- Y(-6,2) → W(-4,6) → F(4,6) → G(6,2) → Y(-6,2)
2. Left wall:
- Y(-6,2) → A(-6,-5)
3. Right wall:
- G(6,2) → X(6,-5)
4. Bottom:
- A(-6,-5) → X(6,-5)
5. Front (optional):
- Add windows: M(-4,1), J(-2,1), Q(2,1), S(4,1)
- Door: B(2,-1), R(4,-1) — connect B to R horizontally
6. Additional walls:
- From M(-4,1) to P(-4,-5) — vertical line (left front wall)
- From S(4,1) to R(4,-1) — vertical line (right front wall)
- From R(4,-1) to B(2,-1) — horizontal (door)
But this is getting complex.
Alternatively, the house might be:
- Roof: W(-4,6) → F(4,6) → G(6,2) → Y(-6,2) → W(-4,6)
- Body: Y(-6,2) → A(-6,-5) → X(6,-5) → G(6,2) → Y(-6,2)
So the house is a trapezoid with a roof.
Then:
- Windows: M(-4,1), J(-2,1), Q(2,1), S(4,1) — just dots
- Door: B(2,-1), R(4,-1) — horizontal line at bottom
- Chimney: Maybe W(-4,6) to M(-4,1)? But not specified.
But the most logical structure is:
To draw the house:
1. Plot all given points.
2. Connect in order:
- Roof: Y(-6,2) → W(-4,6) → F(4,6) → G(6,2) → Y(-6,2)
- Left wall: Y(-6,2) → A(-6,-5)
- Right wall: G(6,2) → X(6,-5)
- Bottom: A(-6,-5) → X(6,-5)
3. Add details:
- Window line: M(-4,1), J(-2,1), Q(2,1), S(4,1) — mark as dots or small rectangles
- Door: B(2,-1) → R(4,-1)
- Optional: Connect M(-4,1) to P(-4,-5), S(4,1) to R(4,-1) for front walls
But since the worksheet says "draw your own house", you can use your creativity.
---
#### 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 the House
Use the points to draw:
- Roof: Y(-6,2) → W(-4,6) → F(4,6) → G(6,2) → Y(-6,2)
- Walls: Y(-6,2) → A(-6,-5), G(6,2) → X(6,-5), A(-6,-5) → X(6,-5)
- Windows: Plot M(-4,1), J(-2,1), Q(2,1), S(4,1)
- Door: Connect B(2,-1) to R(4,-1)
- Optional: Add vertical lines from M(-4,1) to P(-4,-5), S(4,1) to R(4,-1)
This will create a house with a slanted roof, two windows, and a door.
---
✔ You're done! Just write the coordinates and sketch the house accordingly.
---
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)
```
---
Part 2: Draw your own house using the coordinate points
We’re given a list of points. Let's plot them and connect them appropriately to 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)
Now let's interpret how these points form a house.
Let’s group and connect them logically:
#### Roof:
- W = (-4, 6)
- F = (4, 6)
- Connect W to F → this is the top edge of the roof.
- But also, there might be a triangular roof.
Wait — actually, looking at the points:
- W = (-4, 6), F = (4, 6) → horizontal line at top
- But we have Y = (-6, 2), G = (6, 2) → lower points
But wait — perhaps the roof is made from Y, W, F, G?
Alternatively, let’s try to identify shapes.
Let’s look for patterns:
##### Main House Body:
- Points like M(-4,1), J(-2,1), Q(2,1), S(4,1) → horizontal line at y=1
- Then down to bottom: A(-6,-5), P(-4,-5), N(-2,-5), X(6,-5) → but not symmetric
Wait — let’s recheck:
Actually, the house likely has:
- Roof: triangle or trapezoid
- House body: rectangle
- Door: rectangle
- Chimney?
Let’s analyze:
Look at:
- W(-4,6), F(4,6) → top corners of roof?
- Y(-6,2), G(6,2) → lower roof points?
- So maybe roof is quadrilateral: Y → W → F → G → Y?
But that would make a wide roof.
Alternatively, consider:
Let’s plot key features:
#### Top of roof:
- W(-4,6), F(4,6) → horizontal line
- Then down to M(-4,1), S(4,1) → so vertical lines from W to M and F to S?
Yes! That makes sense.
So:
- Left side of roof: W(-4,6) → M(-4,1)
- Right side: F(4,6) → S(4,1)
- Bottom of roof: M(-4,1) → S(4,1)
But then where does Y(-6,2) and G(6,2) fit?
Maybe extended sides?
Wait — perhaps the house is:
- Roof: triangle or pentagon?
Let’s think differently.
Wait — here's a better idea: The house might have:
- Roof: from Y(-6,2) to W(-4,6) to F(4,6) to G(6,2)
- Then down to base: G(6,2) to X(6,-5)? But X is (6,-5), which is far down.
Wait — let’s list all points again:
| 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 notice:
- From W(-4,6) to M(-4,1) → vertical line
- From F(4,6) to S(4,1) → vertical line
- From M(-4,1) to S(4,1) → horizontal line (top of house)
- Then down to P(-4,-5) and X(6,-5)?
Wait — P(-4,-5) and X(6,-5) are not aligned.
But A(-6,-5), P(-4,-5), N(-2,-5), X(6,-5) — all at y=-5?
Yes!
So:
- Bottom of house: from A(-6,-5) to P(-4,-5) to N(-2,-5) to X(6,-5)? That seems odd.
Wait — perhaps the house is:
- Left wall: from Y(-6,2) to A(-6,-5) → vertical
- Right wall: from G(6,2) to X(6,-5) → vertical
- Roof: from Y(-6,2) to W(-4,6) to F(4,6) to G(6,2)
- Front wall: from W(-4,6) to M(-4,1), then to P(-4,-5), etc.
Wait — let’s see if there’s a pattern.
Notice:
- W(-4,6) → M(-4,1) → P(-4,-5) → A(-6,-5) → Y(-6,2) → back to W?
That could be a left side.
Similarly:
- F(4,6) → S(4,1) → R(4,-1) → X(6,-5) → G(6,2) → F(4,6)?
No — R(4,-1) is above X(6,-5).
Wait — maybe the door is between B(2,-1) and R(4,-1)?
And window at Q(2,1), J(-2,1), etc.
Let’s reconstruct the house:
Step-by-step drawing instructions:
1. Roof:
- Start at Y(-6,2) → W(-4,6) → F(4,6) → G(6,2) → back to Y(-6,2)
- This forms a trapezoidal roof
2. Left Wall:
- Y(-6,2) → A(-6,-5) → P(-4,-5) → M(-4,1) → W(-4,6) → back to Y
- Wait — but M(-4,1) to W(-4,6) is already part of roof
Better:
- Left side of house:
- Y(-6,2) → A(-6,-5) → P(-4,-5) → M(-4,1) → W(-4,6) → Y(-6,2)
But that skips some points.
Wait — M(-4,1) and J(-2,1), Q(2,1), S(4,1) are at y=1 — possibly windows?
Also:
- B(2,-1) and R(4,-1) → possibly door
Let’s try to connect:
Final Interpretation:
This appears to be a house with a chimney.
Let’s break it into parts:
#### 1. Roof (Trapezoid):
- Y(-6,2) → W(-4,6) → F(4,6) → G(6,2) → Y(-6,2)
#### 2. Main House Walls:
- Left wall: Y(-6,2) → A(-6,-5) → P(-4,-5) → M(-4,1) → W(-4,6) → Y(-6,2)
Wait — but M(-4,1) is below W(-4,6) — so W to M is vertical.
But P(-4,-5) to M(-4,1) is vertical.
So left wall: A(-6,-5) → P(-4,-5) → M(-4,1) → W(-4,6) → Y(-6,2) → A(-6,-5)
Similarly, right wall:
- G(6,2) → X(6,-5) → N(-2,-5)? No — N(-2,-5) is not connected.
Wait — X(6,-5) is at x=6, y=-5
Then N(-2,-5) is at x=-2, y=-5 — so probably bottom edge?
Wait — A(-6,-5), P(-4,-5), N(-2,-5), X(6,-5) — all at y=-5
So bottom of house: A(-6,-5) → P(-4,-5) → N(-2,-5) → X(6,-5)
But that skips M(-4,1), etc.
Wait — perhaps the main floor is from M(-4,1) to J(-2,1) to Q(2,1) to S(4,1)
Then bottom floor from P(-4,-5) to N(-2,-5) to X(6,-5)?
Not consistent.
Wait — perhaps the house has:
- Roof: Y(-6,2) → W(-4,6) → F(4,6) → G(6,2)
- Left wall: Y(-6,2) → A(-6,-5)
- Right wall: G(6,2) → X(6,-5)
- Bottom: A(-6,-5) → X(6,-5)
But then where do other points go?
Wait — M(-4,1), J(-2,1), Q(2,1), S(4,1) — all at y=1 — maybe windows?
And B(2,-1), R(4,-1) — maybe door?
Also P(-4,-5), N(-2,-5) — maybe foundation?
Let’s try connecting:
Correct Approach:
Let’s assume the house is composed of:
1. Roof:
- W(-4,6) → F(4,6) → G(6,2) → Y(-6,2) → W(-4,6)
But Y(-6,2) to W(-4,6) is diagonal.
2. Left wall:
- Y(-6,2) → A(-6,-5)
3. Right wall:
- G(6,2) → X(6,-5)
4. Bottom:
- A(-6,-5) → X(6,-5)
5. Front of house (maybe porch?):
- M(-4,1) → J(-2,1) → Q(2,1) → S(4,1) → R(4,-1) → B(2,-1) → P(-4,-5) → M(-4,1)
Wait — too many points.
Wait — M(-4,1), J(-2,1), Q(2,1), S(4,1) — all at y=1 → maybe second story window line
Then P(-4,-5), N(-2,-5), X(6,-5) — at y=-5 → foundation
But P(-4,-5) and M(-4,1) are both at x=-4 — so left wall of house from M(-4,1) to P(-4,-5)
Similarly, S(4,1) to R(4,-1) — but R is at (4,-1), not (4,-5)
Wait — R(4,-1) is at y=-1, not -5.
So perhaps:
- Left wall: M(-4,1) → P(-4,-5)
- Right wall: S(4,1) → R(4,-1)
- Bottom: R(4,-1) → B(2,-1) → ?
Wait — B(2,-1), R(4,-1) — horizontal line at y=-1
But P(-4,-5) is at y=-5 — so maybe basement?
This is confusing.
Let’s look for symmetry.
Best Guess:
The intended shape is likely:
- 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)
- Windows: M(-4,1), J(-2,1), Q(2,1), S(4,1) — just dots
- Door: B(2,-1), R(4,-1) — horizontal line
- Chimney: Maybe W(-4,6) to M(-4,1)? Or something else?
But M(-4,1) is inside.
Wait — perhaps the house has:
- Roof: Y(-6,2) → W(-4,6) → F(4,6) → G(6,2)
- Left side: W(-4,6) → M(-4,1) → P(-4,-5) → A(-6,-5) → Y(-6,2)
- Right side: F(4,6) → S(4,1) → R(4,-1) → X(6,-5) → G(6,2)
But that doesn't close.
Wait — perhaps M(-4,1) is a window, not wall.
Let’s try plotting the points in order:
Recommended Drawing Steps:
To draw the house, connect the points in the following way:
1. Roof:
- Y(-6,2) → W(-4,6) → F(4,6) → G(6,2) → Y(-6,2)
2. Left wall:
- Y(-6,2) → A(-6,-5)
3. Right wall:
- G(6,2) → X(6,-5)
4. Bottom:
- A(-6,-5) → X(6,-5)
5. Front (optional):
- Add windows: M(-4,1), J(-2,1), Q(2,1), S(4,1)
- Door: B(2,-1), R(4,-1) — connect B to R horizontally
6. Additional walls:
- From M(-4,1) to P(-4,-5) — vertical line (left front wall)
- From S(4,1) to R(4,-1) — vertical line (right front wall)
- From R(4,-1) to B(2,-1) — horizontal (door)
But this is getting complex.
Alternatively, the house might be:
- Roof: W(-4,6) → F(4,6) → G(6,2) → Y(-6,2) → W(-4,6)
- Body: Y(-6,2) → A(-6,-5) → X(6,-5) → G(6,2) → Y(-6,2)
So the house is a trapezoid with a roof.
Then:
- Windows: M(-4,1), J(-2,1), Q(2,1), S(4,1) — just dots
- Door: B(2,-1), R(4,-1) — horizontal line at bottom
- Chimney: Maybe W(-4,6) to M(-4,1)? But not specified.
But the most logical structure is:
Final Drawing Instructions:
To draw the house:
1. Plot all given points.
2. Connect in order:
- Roof: Y(-6,2) → W(-4,6) → F(4,6) → G(6,2) → Y(-6,2)
- Left wall: Y(-6,2) → A(-6,-5)
- Right wall: G(6,2) → X(6,-5)
- Bottom: A(-6,-5) → X(6,-5)
3. Add details:
- Window line: M(-4,1), J(-2,1), Q(2,1), S(4,1) — mark as dots or small rectangles
- Door: B(2,-1) → R(4,-1)
- Optional: Connect M(-4,1) to P(-4,-5), S(4,1) to R(4,-1) for front walls
But since the worksheet says "draw your own house", you can use your creativity.
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✔ 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 the House
Use the points to draw:
- Roof: Y(-6,2) → W(-4,6) → F(4,6) → G(6,2) → Y(-6,2)
- Walls: Y(-6,2) → A(-6,-5), G(6,2) → X(6,-5), A(-6,-5) → X(6,-5)
- Windows: Plot M(-4,1), J(-2,1), Q(2,1), S(4,1)
- Door: Connect B(2,-1) to R(4,-1)
- Optional: Add vertical lines from M(-4,1) to P(-4,-5), S(4,1) to R(4,-1)
This will create a house with a slanted roof, two windows, and a door.
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✔ You're done! Just write the coordinates and sketch the house accordingly.
Parent Tip: Review the logic above to help your child master the concept of fun coordinate plane worksheet.