Coordinate graphing, or draw by coordinates, math worksheet with ... - Free Printable

Let's solve this Coordinate Graphing / Draw by Coordinates puzzle step by step.

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🔍 Objective:

We are given a list of coordinate points. We need to:
1. Plot each point on the coordinate grid.
2. Connect the points in order (as listed) to reveal a mystery picture.
3. The final image is hinted at in the "ANSWER" box — it's a cat with stars, a spider, and a leaf, likely a Halloween or whimsical theme.

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📍 Step 1: Understand the Coordinate List

The coordinates are:

```
(5,9), (7,9), (6,12), (7,14), (10,14), (12,13), (13,12), (13,11), (12,11), (10,12),
(8,12), (9,9), (8,8), (6,8), (4,10), (4,9), (3,8), (2,5), (4,2), (4,1), (6,1), (7,2),
(9,1), (11,1), (12,2), (14,5), (13,8), (11,9), (10,9), (10,8), (11,6), (10,4), (8,3),
(6,3), (4,4), (3,6), (4,8), (4,9), and (5,5), (6,4), (8,4), (9,5).
```

> Note: There’s a small typo or repetition — `(4,9)` appears twice in sequence, but that’s okay; we just connect them.

We will plot these points in order and connect them sequentially.

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✔ Step-by-Step Plotting & Connection

We’ll go through key sections and describe what shape forms.

#### 🔹 Part 1: Top of the Cat’s Head
Start from (5,9) → (7,9): horizontal line across the top.
Then up to (6,12), (7,14), (10,14): this draws an ear-like shape.
Then down to (12,13), (13,12), (13,11), (12,11), (10,12), (8,12): forming the second ear and connecting back.

This creates two pointed ears.

#### 🔹 Part 2: Face Outline
From (8,12) → (9,9), (8,8), (6,8), (4,10), (4,9), (3,8): this starts shaping the face.
Then down to (2,5), (4,2), (4,1), (6,1), (7,2), (9,1), (11,1), (12,2): bottom jawline and chin.

So far, we have:
- Two ears
- A curved head outline
- Jawline

#### 🔹 Part 3: Whiskers and Mouth
(14,5) → (13,8), (11,9), (10,9), (10,8), (11,6), (10,4), (8,3), (6,3), (4,4): this creates a curve and lines for whiskers or facial features.

Wait — let's look closely:

From (14,5) → (13,8): upward diagonal → then (11,9), (10,9), (10,8): downward → (11,6), (10,4), (8,3), (6,3), (4,4)

But notice: (11,6) → (10,4) is a diagonal down, then to (8,3), (6,3), (4,4): this could be whiskers or a smile?

Actually, looking at the answer image, the cat has a smile, so likely this is forming the mouth and whiskers.

But wait — the next part is:

(3,6), (4,8), (4,9), and (5,5), (6,4), (8,4), (9,5)

→ (3,6) to (4,8) to (4,9): this goes up — possibly a nose or eye?

But earlier we had an eye drawn at (5,7)? Wait, no — the image already shows an eye at (5,7) as a pre-drawn feature.

Ah! This is important: the eye and nose are already drawn, so the coordinate path might be creating the rest of the face and body.

Let’s reconsider.

Looking at the answer image, the cat has:
- Two ears
- One visible eye (pre-drawn)
- A smiling mouth
- Whiskers
- Stars around
- A spider
- A leaf

But the coordinates are meant to draw only the outline of the cat, not the entire scene.

Wait — actually, the stars, spider, and leaf are already drawn, so the coordinates must form the cat’s face and body.

But the list includes many points beyond the cat’s head.

Let’s analyze more carefully.

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🧩 Let’s Break It Into Sections

#### 🔹 Section A: Left Ear
- (5,9) → (7,9): horizontal line
- (7,9) → (6,12): up-left
- (6,12) → (7,14): up-right → peak of left ear
- (7,14) → (10,14): right along top
- (10,14) → (12,13): down-right → start of right ear
- (12,13) → (13,12): down
- (13,12) → (13,11): down
- (13,11) → (12,11): left
- (12,11) → (10,12): up-left → connects to top
- (10,12) → (8,12): left → connects to top of head

So far, this traces the top of the head and both ears.

Now:
- (8,12) → (9,9): down-right → side of head
- (9,9) → (8,8): down-left
- (8,8) → (6,8): left → base of head
- (6,8) → (4,10): up-left → cheek?
- (4,10) → (4,9): down
- (4,9) → (3,8): down-left → cheek line
- (3,8) → (2,5): down-right → jawline
- (2,5) → (4,2): down-right → chin
- (4,2) → (4,1): down
- (4,1) → (6,1): right → bottom of jaw
- (6,1) → (7,2): up-right
- (7,2) → (9,1): right → chin
- (9,1) → (11,1): right
- (11,1) → (12,2): up-right
- (12,2) → (14,5): up-right → neck or shoulder?

Wait — now we're going toward the right side of the face.

Then:
- (14,5) → (13,8): up-left → cheek
- (13,8) → (11,9): down-left → near eye
- (11,9) → (10,9): left
- (10,9) → (10,8): down
- (10,8) → (11,6): down-right → under eye?
- (11,6) → (10,4): down-left
- (10,4) → (8,3): down-left
- (8,3) → (6,3): left
- (6,3) → (4,4): up-left → chin area?

Wait — this seems messy.

But then:
- (4,4) → (3,6): up-left
- (3,6) → (4,8): up-right
- (4,8) → (4,9): up
- (4,9) → (5,5): down-right? Wait — (4,9) to (5,5) is down-right
- (5,5) → (6,4): right-down
- (6,4) → (8,4): right
- (8,4) → (9,5): up-right

Hmm — this last segment seems to form a curved line from (5,5) to (9,5), passing through (6,4), (8,4).

But (5,5) to (6,4) to (8,4) to (9,5): this looks like a smile!

Yes! That’s it.

So let’s reorganize.

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🎯 Final Interpretation

After plotting all points in order, the connected path forms:

1. Ears and head outline: From (5,9) to (14,5) — creates the top and sides of the cat’s head.
2. Chin and jawline: From (2,5) to (12,2) — forms the lower face.
3. Smile: From (5,5) to (9,5) via (6,4), (8,4) — this is the mouth.
4. Whiskers: Possibly from (10,4) to (8,3), (6,3), etc., but those might be part of the chin.

Wait — but in the answer image, the cat has:
- Ears
- Eyes (already drawn)
- A wide smile
- Whiskers
- A tuft of hair on top
- Stars
- Spider and leaf nearby

But the coordinates seem to form only the outline of the cat’s head and face, including:
- Ears
- Head outline
- Jawline
- Smile

And the stars, spider, leaf are pre-drawn on the grid — they are not part of the coordinate path.

So the coordinate path draws the cat's head and face, while the other elements are decorative.

Let’s verify the final shape.

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✔ Solution Summary

When you plot and connect the given coordinates in order:

- You trace the outline of a cat's head with two pointed ears.
- The path goes around the head, forming a smooth contour.
- The lower part forms the jaw and chin.
- The final segment from (5,5) → (6,4) → (8,4) → (9,5) forms a smiling mouth.
- Other segments may represent cheeks or facial contours.

The eyes and nose are already drawn on the grid (pre-existing), so the coordinate drawing focuses on the outer shape of the cat's face.

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🎉 Final Answer

✔ The mystery picture revealed by connecting the dots is the face of a smiling cat, with:
- Pointed ears
- Smooth head outline
- Smiling mouth
- Pre-drawn eyes, nose, stars, spider, and leaf

This matches the "ANSWER" box shown in the bottom right corner.

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✔ How to Solve It Yourself:

1. Take graph paper or use the provided grid.
2. Plot each coordinate in order.
3. Connect them with straight lines.
4. You’ll see the cat’s face emerge.
5. The pre-drawn elements (stars, spider, leaf) add context — it’s a cute, festive cat!

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💡 Tip: If you’re doing this digitally or manually, use a pencil and ruler for accuracy. Start from (5,9) and follow the list carefully.

You’ve successfully solved the Coordinate Graphing Puzzle! 🐱✨