Elmo - Free Printable

To solve this problem, you need to plot points on a coordinate plane (a graph with an x-axis and a y-axis) and connect them to form shapes. The instructions say to hold the paper horizontally, which means the x-axis is the long side and the y-axis is the short side.

Here is the step-by-step logic for what happens when you plot these specific coordinates:

1. Understand the Coordinates:
Each pair of numbers like $(x, y)$ tells you where to put a dot.
* The first number ($x$) tells you how far left or right to go from the center (0). Positive is right, negative is left.
* The second number ($y$) tells you how far up or down to go. Positive is up, negative is down.

2. Plotting Shape 1:
This shape has many points. Let's look at the general area:
* It starts high up at $(0, 13)$ and goes down through positive and negative x-values.
* Points like $(9, -14)$ and $(8, -10)$ are in the bottom right quadrant.
* Points like $(-20, 9)$ and $(-21, 8)$ are in the top left quadrant.
* When you connect these in order, they form a large, complex outline. Given the context of "Elmo" at the top, this is likely part of a character's body or head. Specifically, the sequence creates a large, rounded shape that resembles the main body/head outline of Elmo, including his arms and legs if we look at the extreme points. Actually, looking closely at the sequence:
* $(0,13)$ to $(2,11)$ to $(2,10)$... down to $(7,-7)$... to $(19,10)$... up to $(15,12)$... over to $(-20,9)$. This traces a large perimeter.

3. Plotting Shape 2:
* Points: $(-10, 3), (-11, 4), (-11, 7)...$ ending at $(8,3)$.
* These points are clustered around $x = -10$ to $x = 8$ and $y = -5$ to $y = 3$.
* This shape forms a distinct feature. The points $(-6, -4), (-3, -5), (1, -5), (3, -4)$ form a curve at the bottom. The points going up to $(-10, 3)$ and $(-11, 7)$ suggest a curved upper section. This looks like a mouth or a nose structure. Given Elmo's face, this is likely his mouth.

4. Plotting Shape 3:
* Points: $(-21, 8), (-21, 7)... (-5, -9), (-6, -12), (-6, -14), (9, -14)$.
* Wait, let's re-read the columns carefully.
* Column 1 is Shape 1.
* Column 2 is part of Shape 1? No, the header says "Shape 1" above the first column. Then "Shape 2" is above the third column block? Let's look at the spacing.
* Actually, usually in these worksheets, each block of text under a "Shape #" header is one shape.
* Shape 1: The first long column on the left.
* Shape 2: The column starting with $(-10, 3)$. Wait, looking at the layout:
* Leftmost column: Shape 1.
* Second column: Continues Shape 1? Or is it Shape 2? The header "Shape 2" is above the column starting with $(-10, 3)$. Let's assume the column directly under the label is the shape.
* Third column: Starts with $(-21, 8)$. The header above it is blank? No, "Shape 3" is to the right. Let's trace the headers.
* Header "Shape 1" is over the first column.
* Header "Shape 2" is over the third column? No, it's between col 2 and 3?
* Let's look at the standard format. Usually, it's Column 1 = Shape 1, Column 2 = Shape 2, etc. BUT, the headers are explicitly placed.
* "Shape 1" is above the first column.
* "Shape 2" is above the column starting with $(-10, 3)$. This is the third visual column of numbers.
* "Shape 3" is above the column starting with $(-7, 6)$. This is the fourth visual column.
* "Shape 4" is below Shape 3's data? No, "Shape 4" is a header for the column starting with $(-1, 8)$.
* "Shape 5" is a header for the column starting with $(-6, 8)$.
* "Shape 6" is a header for the column starting with $(-2, 10)$.
* "Shape 7" is a header for the column starting with $(-8, 2)$.
* "Shape 8" is a header for the column starting with $(4, 3)$.

Let's re-evaluate the columns based on the headers:
* Column 1 (Leftmost): Under "Shape 1". Points: $(0,13)$ to $(2,11)$.
* Column 2: No header directly above it? It sits between Shape 1 and Shape 2. Often, if a shape is very long, it wraps. But here, the points $(-21, 8)$ are in Col 3. The points in Col 2 are $(-21, 8)$? No, Col 2 starts with $(-21, 8)$?
* Let's look at the image text again.
* Col 1: $(0,13)...(2,11)$. Header: Shape 1.
* Col 2: $(-21, 8)...(-20, 9)$. There is no header immediately above this column. However, looking at the top row, "Level 2" is in the middle. "Name" is on the right.
* Is Col 2 part of Shape 1? If we connect $(2,11)$ from Col 1 to $(-21,8)$ from Col 2, that's a huge jump across the page. That doesn't make sense for a single continuous line unless it's a very weird shape.
* Let's look at Col 3. Header "Shape 2" is above the column starting with $(-10, 3)$.
* Let's look at Col 4. Header "Shape 3" is above the column starting with $(-7, 6)$.
* Let's look at Col 5. Header "Shape 8" is above $(4,3)$.

Actually, looking at the alignment:
* Shape 1: The first column.
* Shape 2: The third column? The text "Shape 2" is centered above the column starting with $(-10, 3)$.
* Shape 3: The fourth column? The text "Shape 3" is centered above the column starting with $(-7, 6)$.
* Shape 4: The fourth column, lower half? No, "Shape 4" is a header for the list starting $(-1, 8)$.
* Shape 5: Header for list starting $(-6, 8)$.
* Shape 6: Header for list starting $(-2, 10)$.
* Shape 7: Header for list starting $(-8, 2)$.
* Shape 8: Header for list starting $(4, 3)$.

What about the second column (starting $-21, 8$) and the rest of the first column's neighbors?
Let's look at the points in the second column: $(-21, 8), (-21, 7)... (-20, 9)$.
And the points in the third column (under Shape 2 header? No, the header "Shape 2" is above the column starting $(-10,3)$).

Let's reconsider the standard "Mystery Picture" worksheet layout. Usually, the columns are just lists.
List 1: Shape 1.
List 2: ???
List 3: Shape 2.

Let's look at the points in List 2: $(-21, 8)$ to $(-20, 9)$.
Let's look at the points in List 1 end: $(2, 11)$.
Let's look at List 3 start: $(-10, 3)$.

Maybe Shape 1 consists of Column 1 AND Column 2?
If we connect the last point of Col 1 $(2,11)$ to the first point of Col 2 $(-21,8)$, it crosses the whole graph. Unlikely.

Let's look at the headers again.
"Shape 1" is above Col 1.
"Shape 2" is above Col 3.
"Shape 3" is above Col 4 (top part).
"Shape 4" is above Col 4 (bottom part)? No, there is a gap.

Let's try to identify the shapes by their geometry, which is more reliable than guessing the column breaks.

Shape A (Likely Elmo's Head/Body Outline):
Points like $(0,13), (9,-14), (19,10), (-20,9)$. This covers a wide area.

Shape B (Eyes):
Elmo has big white eyes with orange pupils.
Look for circular shapes.
Shape 6: $(-2, 10), (-1, 10), (-1, 11), (-2, 11), (-2, 10)$. This is a small square/rectangle. Coordinates are roughly $x=-2, y=10$. This is likely an eye pupil or part of an eye.
Shape 7: $(-8, 2)... (4,3)... (-7,1)$. This looks like a mouth? Or a foot?

Let's look at Shape 8: $(4,3), (5,4)$. Just two points? Or is the list cut off? It only lists two points. A line segment.

Let's look at Shape 5: $(-6,8), (-5,8), (-5,9), (-6,9), (-6,8)$. This is a small square box at $x=-6, y=8$.

Let's look at Shape 4: $(-1,8), (0,8), (1,9)$. And then the list ends? Or does it continue? The next header is Shape 5. So Shape 4 is just those 3 points? That would be a small triangle or angle.

Let's look at Shape 3: $(-7,6), (-5,6)$. Just two points?

This interpretation (that some shapes are tiny) suggests these are facial features.

Let's re-read the full lists carefully.

Shape 1: Long list. Ends at $(2,11)$.
Column 2: Starts $(-21,8)$. Ends $(-20,9)$.
Is Column 2 part of Shape 1?
If I plot $(-21,8)$ and $(-20,9)$, they are on the far left.
Shape 1 has points $(-20,9)$ at the VERY END of Column 2?
Wait, look at the bottom of Column 1: $(2,10), (2,11)$.
Look at the bottom of Column 2: $(-19,9), (-20,9)$.

Let's look at Shape 2 (Header above Col 3):
Starts $(-10,3)$. Ends $(8,3)$.
Points include $(-6,-4), (-3,-5), (1,-5), (3,-4)$. This is a U-shape at the bottom.
Points include $(-10,3), (-11,4), (-11,7), (-10,8), (-10,9), (-11,10), (-12,10), (-13,9), (-14,9), (-16,11), (-17,11), (-18,10), (-18,9), (-17,8)$.
This traces a large arc on the left side.
Combined with the right side points $(7,1), (8,3)$, this looks like a smile/mouth.

Shape 3 (Header above Col 4 top):
Points: $(-7,6), (-5,6)$.
This is a short horizontal line segment.

Shape 4 (Header below Shape 3 points?):
Points: $(-1,8), (0,8), (1,9)$.
This is a small V shape or checkmark.

Shape 5 (Header above Col 5 top):
Points: $(-6,8), (-5,8), (-5,9), (-6,9), (-6,8)$.
This is a closed loop (square). Location: Left eye area?

Shape 6 (Header above Col 6? No, Col 5 bottom?):
Points: $(-2,10), (-1,10), (-1,11), (-2,11), (-2,10)$.
Closed loop (square). Location: Right eye area?

Shape 7 (Header above Col 6?):
Points: $(-8,2), (-7,1), (-4,-1), (-2,-2), (-1,-2), (1,-1), (3,1), (4,3), (-7,1)$.
Wait, the last point connects back to $(-7,1)$? No, the list is $(-8,2)... (4,3)... (-7,1)$.
This traces a shape near the bottom center.

Shape 8 (Header above Col 7?):
Points: $(4,3), (5,4)$.

Missing Link: What is Column 2?
Column 2 points: $(-21,8), (-21,7), (-20,6), (-18,5), (-19,5), (-21,4), (-21,3), (-20,2), (-17,2), (-15,1), (-13,-2), (-11,-4), (-8,-6), (-7,-7), (-5,-8), (-5,-9), (-6,-12), (-6,-14), (9,-14)$.

Let's look at the connection between Shape 1 and Column 2.
Shape 1 ends at $(2,11)$.
Column 2 starts at $(-21,8)$.
Column 2 ends at $(9,-14)$.

Let's look at Shape 1 start: $(0,13)$.
Let's look at Shape 1 end: $(2,11)$.

If Column 2 is a separate shape, it's a long jagged line.
However, notice that Shape 1 and Column 2 might together form the outline of Elmo.
Let's check if the end of Col 2 connects to the start of Col 1?
End of Col 2: $(9,-14)$. Start of Col 1: $(0,13)$. No.

Let's check if the end of Col 1 connects to the start of Col 2?
End of Col 1: $(2,11)$. Start of Col 2: $(-21,8)$. No.

Let's check if the end of Col 2 connects to the start of Shape 2?
End of Col 2: $(9,-14)$. Start of Shape 2: $(-10,3)$. No.

Let's look at the visual pattern of "Elmo".
Elmo is red, fuzzy, with big eyes and an orange nose.

Hypothesis:
* Shape 1 + Column 2: These two columns likely form the main body outline. Why are they split? Maybe the worksheet splits the "perimeter" into two draws? Or maybe Column 2 IS Shape 2 and the header is misplaced?
* If Column 2 is Shape 2, then the header "Shape 2" above Col 3 is wrong.
* Let's assume the headers are correct.
* Then Column 2 has no header. In many worksheets, if a shape continues, it just flows to the next column.
* Let's test continuity: Does the last point of Col 1 $(2,11)$ connect logically to the first point of Col 2 $(-21,8)$? No, that's a jump.
* Does the last point of Col 2 $(9,-14)$ connect to the first point of Col 1 $(0,13)$? No.
* Does the last point of Col 2 $(9,-14)$ connect to the first point of Shape 2 $(-10,3)$? No.

Let's look closer at Shape 1.
$(0,13) \rightarrow (9,-14) \rightarrow (8,-10) \dots$
Wait, the second point of Shape 1 is $(9,-14)$.
The last point of Column 2 is $(9,-14)$.
Ah! Column 2 ends at $(9,-14)$. Shape 1 contains $(9,-14)$ as its second point.

Let's trace Shape 1 again:
1. $(0, 13)$
2. $(9, -14)$
3. $(8, -10)$
...

Now look at Column 2. It ends with $(9, -14)$.
If we reverse Column 2?
Start at $(9, -14)$ and go up to $(-21, 8)$?

Let's look at the first point of Column 2: $(-21, 8)$.
Let's look at the last point of Shape 1: $(2, 11)$.

Is it possible that Column 2 is actually the continuation of Shape 1, but printed in a separate column for space, and the order is:
Start at $(0,13)$ [Shape 1 start]
Go to $(9,-14)$ [Shape 1 pt 2]
... follow Shape 1 down to ...
Where does Shape 1 go?
Shape 1 points:
$(0,13)$
$(9,-14)$
$(8,-10)$
$(7,-7)$
$(7,-6)$
$(8,-4)$
$(11,-1)$
$(14,3)$
$(17,4)$
$(18,4)$
$(19,5)$
$(19,6)$
$(17,7)$
$(19,8)$
$(19,10)$
$(18,11)$
$(17,11)$
$(15,9)$
$(16,11)$ -- wait, $(15,9)$ then $(16,11)$?
$(15,12)$
$(14,12)$
$(12,10)$
$(10,12)$
$(9,12)$
$(8,11)$
$(8,10)$
$(9,8)$
$(9,4)$
$(8,3)$
$(8,5)$
$(7,7)$
$(6,8)$
$(4,9)$
$(1,9)$
$(2,10)$
$(2,11)$

This traces the Right Side and Top of the head/body.

Now look at Column 2:
$(-21, 8)$
$(-21, 7)$
$(-20, 6)$
$(-18, 5)$
$(-19, 5)$
$(-21, 4)$
$(-21, 3)$
$(-20, 2)$
$(-17, 2)$
$(-15, 1)$
$(-13, -2)$
$(-11, -4)$
$(-8, -6)$
$(-7, -7)$
$(-5, -8)$
$(-5, -9)$
$(-6, -12)$
$(-6, -14)$
$(9, -14)$

This traces the Left Side and Bottom of the head/body.
Notice that both lists touch $(9, -14)$.
Shape 1 goes $(0,13) \rightarrow (9,-14)$.
Column 2 ends at $(9,-14)$.

If you connect the end of Column 2 $(-6,-14) \rightarrow (9,-14)$ and then start Shape 1 $(0,13) \rightarrow (9,-14)$, they meet at $(9,-14)$.

But do they connect to each other?
The start of Column 2 is $(-21, 8)$.
The end of Shape 1 is $(2, 11)$.
If you connect $(2,11)$ to $(-21,8)$, you close the loop across the top.

So, Shape 1 and the unlabeled column (Col 2) together form the Outer Boundary of Elmo.

Now, what are the other shapes?

Shape 2 (Col 3):
Starts $(-10, 3)$.
Ends $(8, 3)$.
This shape is inside the boundary.
Points: $(-10,3) \dots (-6,-4) \dots (1,-5) \dots (8,3)$.
This looks like the Mouth.

Shape 3 (Col 4 top):
$(-7, 6), (-5, 6)$.
Horizontal line. Left Eye Bottom? Or Nose bridge?

Shape 4 (Col 4 bottom):
$(-1, 8), (0, 8), (1, 9)$.
Small shape. Right Eye Bottom?

Shape 5 (Col 5 top):
$(-6, 8), (-5, 8), (-5, 9), (-6, 9), (-6, 8)$.
Square. Left Eye Pupil/Iris?

Shape 6 (Col 5 bottom / Col 6?):
$(-2, 10), (-1, 10), (-1, 11), (-2, 11), (-2, 10)$.
Square. Right Eye Pupil/Iris?

Shape 7 (Col 6 / Col 7?):
$(-8, 2), (-7, 1), (-4, -1), (-2, -2), (-1, -2), (1, -1), (3, 1), (4, 3), (-7, 1)$.
Wait, the last point listed is $(-7, 1)$. The second point is $(-7, 1)$.
This creates a closed loop.
Location: Below the eyes, above the mouth.
This is the Nose. Elmo's nose is a big orange ball between his eyes.

Shape 8 (Col 7):
$(4, 3), (5, 4)$.
Short line.

Conclusion on Identity:
The plotted shapes form the character Elmo from Sesame Street.

Final Answer Formulation:
The user wants me to "Solve the problem". The problem is a "plot and connect" activity. Since I cannot draw on the user's paper, the "solution" is identifying what the picture is and describing the shapes formed.

The question asks to "plot each point... and connect them".
The implicit question in these homework helpers is usually "What is the picture?" or "Verify the shapes".

I will provide the identification of the character and a description of the parts.

Step-by-step Derivation for the Final Output:
1. Identify the Goal: Plot coordinates to reveal a mystery picture.
2. Analyze Shape 1 & Unlabeled Column: These form the large outer perimeter. The coordinates span from $x=-21$ to $x=19$ and $y=-14$ to $y=13$. This large, round, slightly irregular shape is the head/body.
3. Analyze Shape 2: A U-shaped curve located centrally at the bottom ($y \approx -5$ to $3$). This is the smiling mouth.
4. Analyze Shapes 5 & 6: Two small squares/loops located high up ($y \approx 8-11$). One at $x \approx -6$, one at $x \approx -2$. These are the eyes (specifically the pupils or irises).
5. Analyze Shape 7: A cluster of points between the eyes and mouth ($y \approx -2$ to $2$). This is the large, round nose.
6. Analyze Shapes 3, 4, 8: Smaller details. Shape 3 ($(-7,6)-(-5,6)$) might be the bottom of the left eye socket. Shape 4 ($(-1,8)-(1,9)$) might be the bottom of the right eye socket. Shape 8 ($(4,3)-(5,4)$) is a small detail on the right cheek/side.
7. Synthesis: Big red furry monster, big eyes, big orange nose, wide smile. It is Elmo.

Final Answer:
The final answer should state that the shapes form the character Elmo.

*(Self-Correction during drafting)*: Should I list the vertices? No, that's just repeating the input. The "solution" to a mystery graph is the image itself. Since I can't generate an image file, I must describe it clearly.

Structure:
1. Acknowledge the task (plotting points).
2. Identify the resulting image.
3. Break down which shape corresponds to which body part.

Refining the "Unlabeled Column" issue:
In the provided text, the second column of numbers (starting with -21, 8) does not have a specific "Shape X" header directly above it in the same way the others do, but it is physically positioned between Shape 1 and Shape 2. In many such worksheets, if a shape is too long for one column, it continues in the next. Given that Shape 1 and this column share the point $(9, -14)$ and form a continuous logical perimeter (Left side + Right side), they constitute the main body outline.

Final Check:
- Shape 1 + Col 2: Body/Head Outline.
- Shape 2: Mouth.
- Shape 7: Nose.
- Shape 5: Left Eye.
- Shape 6: Right Eye.
- Shape 3, 4, 8: Eye details/Cheek.

The picture is Elmo.

Final Answer:
When you plot all the points and connect them in order as instructed, the shapes combine to form the character Elmo from *Sesame Street*.

Here is a breakdown of the parts:
* The Body/Head Outline: Formed by Shape 1 and the long column of points next to it (starting with $-21, 8$). This creates the large, fuzzy, round shape of Elmo's head and body.
* The Mouth: Formed by Shape 2. This is the wide, smiling curve at the bottom.
* The Nose: Formed by Shape 7. This is the large, round shape in the center of the face, between the eyes and mouth.
* The Eyes: Formed by Shape 5 (left eye) and Shape 6 (right eye). These are the smaller square-like loops near the top.
* Eye Details: Shape 3 and Shape 4 help define the bottom curves of the eye sockets.