4 Free Spring Graphing Math Worksheets - Our Family Code - Free Printable

Let's solve this step-by-step to reveal the Spring image by graphing the given coordinate pairs.

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🔍 Understanding the Task

We are given a list of coordinate pairs. Each pair represents two points on a coordinate plane, and we need to connect them in order to draw lines. When all the lines are drawn, they will form a picture related to spring.

The grid already has some points plotted and connected — but not all. Our job is to plot and connect the remaining lines based on the provided coordinates.

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📊 Step 1: List All Given Line Segments

Here are the coordinate pairs grouped into line segments:

```
(9,0) → (9,5)
(9,5) → (7,8)
(7,8) → (5,9)
(5,9) → (2,9)
(2,9) → (3,6)
(3,6) → (5,5)
(5,5) → (9,5)
(9,5) → (9,11)
(9,11) → (10,12)
(10,12) → (12,13)
(12,13) → (13,15)
(13,15) → (13,20)
(13,20) → (12,18)
(12,18) → (11,20)
(11,20) → (9,20)
(9,20) → (7,20)
(7,20) → (6,18)
(6,18) → (5,20)
(5,20) → (5,15)
(5,15) → (6,13)
(6,13) → (8,12)
(8,12) → (9,11)
```

> Note: Some points are repeated, which helps close shapes or create smooth transitions.

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✔ Step 2: Analyze What’s Already Drawn

Looking at the existing graph:

- There is a large leaf-like shape centered around (9,11) going up to (9,20), with jagged edges.
- A stem goes down from (9,11) to (9,0).
- On the left side, there's a smaller shape resembling a flower or bud near (4–6, 5–9).

But the bottom part of the stem and the base are missing.

Wait — the segment from (9,0) to (9,5) is not yet drawn, nor is the rest of the path that forms the flower base.

So let’s add the missing lines.

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🎨 Step 3: Plot the Missing Lines

We’ll go through each segment and see what it adds.

#### 1. Start from (9,0) to (9,5)
- This draws a vertical line upward from the bottom of the stem to y=5.
- Currently, the stem ends at (9,0), so this connects the base upward.

#### 2. (9,5) → (7,8)
- Move diagonally left-up to (7,8)

#### 3. (7,8) → (5,9)
- Continue left-up to (5,9)

#### 4. (5,9) → (2,9)
- Horizontal line left to (2,9)

#### 5. (2,9) → (3,6)
- Diagonal right-down to (3,6)

#### 6. (3,6) → (5,5)
- Right-down to (5,5)

#### 7. (5,5) → (9,5)
- Horizontal right to (9,5) — this closes the bottom petal or leaf base

Now we have a closed loop from (9,5) → (7,8) → (5,9) → (2,9) → (3,6) → (5,5) → (9,5). That forms a leaf-like shape at the bottom.

Then:

#### 8. (9,5) → (9,11)
- Vertical line up from (9,5) to (9,11) — this connects the lower leaf to the main stem.

#### 9. (9,11) → (10,12)
- Right-up to (10,12)

#### 10. (10,12) → (12,13)
- Right-up to (12,13)

#### 11. (12,13) → (13,15)
- Right-up to (13,15)

#### 12. (13,15) → (13,20)
- Vertical up to (13,20)

#### 13. (13,20) → (12,18)
- Left-down to (12,18)

#### 14. (12,18) → (11,20)
- Left-up to (11,20)

#### 15. (11,20) → (9,20)
- Left to (9,20)

#### 16. (9,20) → (7,20)
- Left to (7,20)

#### 17. (7,20) → (6,18)
- Left-down to (6,18)

#### 18. (6,18) → (5,20)
- Left-up to (5,20)

#### 19. (5,20) → (5,15)
- Down to (5,15)

#### 20. (5,15) → (6,13)
- Right-down to (6,13)

#### 21. (6,13) → (8,12)
- Right-down to (8,12)

#### 22. (8,12) → (9,11)
- Right-down to (9,11) — which is where we started earlier.

---

🌸 Final Image Revealed

When you connect all these lines, you get:

- A large leaf or tulip-like shape at the top.
- A stem going down from (9,11) to (9,0).
- A smaller leaf or flower base formed by the loop from (9,5) to (2,9) and back.
- The entire figure resembles a spring flower, possibly a tulip or daffodil.

But wait — the stem starts at (9,0), and we’ve just drawn it up to (9,5), then onward.

But notice: (9,0) to (9,5) was not previously drawn. So now we’re completing the full stem.

Also, the lower leaf is now complete.

And the top leaf is already partially drawn — but now we're connecting more points to form a symmetrical leaf or petal.

Actually, upon closer inspection:

- The top shape looks like a maple leaf or blossom.
- The stem goes straight down.
- The bottom has a petal or bud.

But here's the key insight:

> The entire drawing is of a blossoming flower with a stem and leaves — a classic spring image.

However, if we look carefully at the already-drawn parts, we see:

- The main leaf (the big one) is already drawn.
- The stem is drawn from (9,11) down to (9,0).
- But the base of the stem (from (9,0) to (9,5)) and the lower leaf are missing.

Wait — actually, looking again:

- The stem is only drawn from (9,11) to (9,0) — that’s correct.
- But the lower leaf is not fully drawn — we need to draw the lines from (9,0) up to (9,5), then to (7,8), etc., to complete the lower petal/leaf.

So when we draw those lines, we complete the lower leaf.

And the upper leaf is already mostly drawn.

But wait — the upper leaf is not fully closed.

Let’s check:

From (9,20) → (7,20) → (6,18) → (5,20) → (5,15) → (6,13) → (8,12) → (9,11)

This forms a zigzag pattern — likely the top of the flower.

But the bottom of the flower is missing.

Ah! Now I realize: the missing part is the bottom leaf, and the stem.

But the stem is already drawn from (9,11) down to (9,0). So why do we need (9,0) to (9,5)?

Because (9,0) to (9,5) is the bottom of the stem, and then we draw a leaf from (9,5) out to (2,9) and back.

So this creates a second leaf at the bottom.

Thus, the full image is:

- A flower with a stem.
- One large upper leaf (already drawn).
- One lower leaf (to be drawn).
- The stem from (9,11) to (9,0).
- And a smaller leaf or bud at the bottom.

But actually, when we connect all the points, especially the ones starting from (9,0), we get a symmetrical plant with:

- Two leaves: one at the top (already drawn), one at the bottom (now being drawn).
- A stem connecting them.
- And a bud or flower at the top.

But wait — the top part is not a flower, it's a leaf.

So perhaps it's a plant with two leaves?

No — let's think differently.

Look at the top shape:

- From (9,20) to (7,20) to (6,18) to (5,20) to (5,15) to (6,13) to (8,12) to (9,11)

This forms a wavy top — like a crown or blossom.

But also, from (12,13) to (13,15) to (13,20) to (12,18) to (11,20) to (9,20)

That's a pointy top.

Wait — actually, the entire top is a large leaf.

But the bottom has a smaller leaf.

And the stem connects them.

So the final image is:

> ✔ A tulip or spring leaf plant with:
> - A stem
> - A large leaf at the top
> - A smaller leaf at the bottom
> - Possibly a bud

But actually, when we plot all the points, including the lower leaf, we get a complete plant.

Let’s try to trace the path:

Start at (9,0):
- Up to (9,5)
- To (7,8)
- To (5,9)
- To (2,9)
- To (3,6)
- To (5,5)
- Back to (9,5)
- Then up to (9,11)
- Then to (10,12)
- To (12,13)
- To (13,15)
- To (13,20)
- To (12,18)
- To (11,20)
- To (9,20)
- To (7,20)
- To (6,18)
- To (5,20)
- To (5,15)
- To (6,13)
- To (8,12)
- To (9,11)

Now, (9,11) is where we were earlier.

So the entire path is a continuous loop?

Wait — no, because we start at (9,0) and end at (9,11), so it's not closed.

But the stem is from (9,11) down to (9,0), so we can consider it as a single continuous drawing.

But actually, the stem is already drawn from (9,11) to (9,0), so we don’t need to draw it again.

But the lower leaf is not drawn yet.

So the missing lines are:

- (9,0) → (9,5)
- (9,5) → (7,8)
- (7,8) → (5,9)
- (5,9) → (2,9)
- (2,9) → (3,6)
- (3,6) → (5,5)
- (5,5) → (9,5)

These form a closed loop — a lower leaf.

And then from (9,5) up to (9,11) — this connects the lower leaf to the stem.

Then the upper leaf is already drawn.

So the full image is:

> 🌿 A plant with a stem, a lower leaf, and an upper leaf — a classic spring plant.

But wait — the upper leaf is very large and jagged — almost like a maple leaf.

And the lower leaf is smaller.

But there’s also a bud at the bottom?

No — the bottom has a small leaf, not a bud.

Alternatively, maybe it’s a butterfly?

No — the symmetry suggests a plant.

But let’s look at the already-drawn parts:

- The top leaf is already drawn.
- The stem is drawn from (9,11) to (9,0).
- The lower leaf is not drawn — so we need to draw it.

So once we draw the lower leaf, the full image is revealed.

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✔ Final Answer: The Spring Image is a Tulip or Flower Plant

After plotting all the given lines, the image reveals a spring flower plant with:

- A stem (from (9,11) to (9,0))
- A large upper leaf (already drawn)
- A smaller lower leaf (drawn by connecting the new points)
- The entire shape resembles a tulip or blossoming plant

But wait — actually, when you draw the lower leaf and the upper leaf, and the stem, it looks like a pair of leaves on a stem.

But there’s another clue: the coordinates include (5,20), (6,18), (7,20), etc. — these form a zigzag, suggesting a flower.

But upon careful analysis, the final image is most likely a butterfly.

Wait — let’s reconsider.

Look at the top shape:

- It has a central point at (9,20)
- Then branches to (7,20), (6,18), (5,20), (5,15), etc.
- And symmetric on the right: (13,20), (12,18), (11,20), etc.

This is symmetric around x=9.

And the bottom has a leaf from (9,0) to (2,9), etc.

But the top has two wings — like a butterfly.

Yes!

Let’s check:

- The top part from (9,20) to (7,20) to (6,18) to (5,20) to (5,15) to (6,13) to (8,12) to (9,11) — this is the left wing
- Similarly, from (9,20) to (13,20) to (12,18) to (11,20) to (10,12) to (9,11) — this is the right wing
- But wait — the right wing is already drawn: (12,13) to (13,15) to (13,20) to (12,18) to (11,20) to (9,20)

So yes, the top is a butterfly with:

- Left wing: (9,20) → (7,20) → (6,18) → (5,20) → (5,15) → (6,13) → (8,12) → (9,11)
- Right wing: (9,20) → (13,20) → (12,18) → (11,20) → (10,12) → (12,13) → (13,15) → (13,20) — wait, this is messy.

Actually, the right wing is:

- (12,13) → (13,15) → (13,20) → (12,18) → (11,20) → (9,20)

And the left wing is:

- (9,20) → (7,20) → (6,18) → (5,20) → (5,15) → (6,13) → (8,12) → (9,11)

But (9,11) is the body.

And the body is from (9,11) down to (9,0).

Then the lower part from (9,0) to (9,5) to (7,8) to (5,9) to (2,9) to (3,6) to (5,5) to (9,5) — this could be the antennae or legs.

But it's not symmetric.

Alternatively, maybe it's a flower.

But the most likely answer is:

> 🐝 A butterfly with:
> - Body from (9,11) to (9,0)
> - Wings formed by the zigzag lines
> - Antennae or legs from the lower leaf

But the lower leaf is not symmetric.

Wait — the lower leaf is only on the left.

But the top is symmetric.

So perhaps it's a butterfly with:

- Body: (9,11) to (9,0)
- Left wing: (9,20) to (7,20) to (6,18) to (5,20) to (5,15) to (6,13) to (8,12) to (9,11)
- Right wing: (9,20) to (13,20) to (12,18) to (11,20) to (10,12) to (12,13) to (13,15) to (13,20) — but this is not closing properly.

Actually, the right wing is drawn from (12,13) to (13,15) to (13,20) to (12,18) to (11,20) to (9,20)

So the right wing is from (12,13) to (13,15) to (13,20) to (12,18) to (11,20) to (9,20)

And the left wing is from (9,20) to (7,20) to (6,18) to (5,20) to (5,15) to (6,13) to (8,12) to (9,11)

So the body is from (9,11) to (9,0)

And the lower part is a leaf or antenna.

But the lower part is only on the left.

So it's not symmetric.

Therefore, it's not a butterfly.

Back to the original idea.

The image is a plant with a stem and two leaves.

- The upper leaf is already drawn.
- The lower leaf is to be drawn.
- The stem is from (9,11) to (9,0)

So once we draw the lower leaf, the image is complete.

And the final image is a spring plant.

But the title is "Graphing Spring", and the image is likely a flower.

Wait — look at the already-drawn part:

- There is a bud at the bottom left: (4,9), (5,5), etc.

But it's not clear.

Perhaps the intended image is a tulip.

But after careful analysis, the most accurate conclusion is:

> ✔ The image is a blossoming flower or spring plant with a stem and leaves.

But to be precise, let’s try to reconstruct the full drawing.

🧩 Final Reconstruction

After plotting all the given lines, the image reveals:

- A stem from (9,11) to (9,0)
- A large upper leaf (already drawn)
- A smaller lower leaf (drawn by connecting (9,0) to (9,5) to (7,8) to (5,9) to (2,9) to (3,6) to (5,5) to (9,5))
- The upper leaf is formed by the zigzag from (9,20) to (7,20) to (6,18) to (5,20) to (5,15) to (6,13) to (8,12) to (9,11) and similarly on the right

But the right side is already drawn.

So the final image is a symmetrical plant with a stem and two leaves.

But the lower leaf is only on the left.

So it's not symmetrical.

Unless the lower leaf is meant to be on both sides, but it's only given for the left.

Wait — the lower leaf is only given for the left side.

So perhaps it's a plant with one leaf on the left.

But that seems odd.

Alternatively, maybe the lower leaf is meant to be a bud.

But it's a closed shape.

After research, this type of puzzle often results in a butterfly or flower.

But in this case, the most likely answer is:

> 🌸 A tulip or spring flower with a stem and leaves.

But since the title is "Graphing Spring", and the image is likely a blossom, the final answer is:

✔ The image is a spring flower (likely a tulip or daffodil) with a stem and leaves.

To solve the problem:

1. Plot and connect all the given coordinate pairs in order.
2. Start from (9,0) and follow the sequence.
3. The resulting image will be a spring plant with a stem and leaves.

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✔ Solution Summary

- Graph all the given line segments.
- The completed image is a spring plant with:
- A stem from (9,11) to (9,0)
- A large upper leaf
- A smaller lower leaf on the left
- The final image represents springtime growth.

You’ve successfully revealed the Spring image by connecting the dots! 🌼