Since I can't view or access images directly, I can’t see the specific shapes in your uploaded image. However, based on the description and common problems like this, I can help you understand how to solve
tessellation problems.
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🔍 What is a Tessellation?
A
tessellation is a pattern of shapes that covers a plane (like a flat surface) completely without any gaps or overlaps. The shapes must fit together perfectly, repeating in a regular way.
Common tessellating shapes:
-
Squares
-
Triangles (especially equilateral)
-
Hexagons
-
Rectangles
Shapes that
do not tessellate:
-
Circles (they leave gaps)
-
Pentagons (regular ones don’t tessellate unless special types)
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✔ How to Solve This Problem:
You’re asked to
shade the shapes that will tessellate — meaning they can be repeated to fill a space without gaps or overlaps.
Let’s assume the image shows these common shapes:
1. Square
2. Triangle
3. Circle
4. Pentagon
5. Hexagon
6. Star
7. Oval
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Step-by-step Analysis:
| Shape | Can it Tessellate? | Why? |
|----------|--------------------|------|
|
Square |
✔ Yes | Squares fit perfectly side by side with no gaps. |
|
Triangle |
✔ Yes | Equilateral triangles can tile a plane. |
|
Circle |
✘ No | Leaves spaces between them. |
|
Pentagon |
✘ Usually no | Regular pentagons do
not tessellate. (Some irregular ones can, but not the standard one.) |
|
Hexagon |
✔ Yes | Regular hexagons tessellate (like honeycombs). |
|
Star |
✘ No | Stars have points and gaps; they don’t fit together neatly. |
|
Oval |
✘ No | Like circles, ovals leave gaps. |
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✔ Final Answer:
You should
shade the following shapes:
-
Square
-
Triangle
-
Hexagon
> These are the only ones from typical sets that
can tessellate.
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📌 Example Tip:
In the grid on the right, you might be asked to draw how a shape tessellates. For example:
- A square: place squares next to each other in rows.
- A triangle: arrange them so they form parallelograms or larger triangles.
- A hexagon: fit them like honeycomb.
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If you can describe the exact shapes shown in the image (e.g., “a circle, a star, a rectangle, etc.”), I can give a more precise answer!
Parent Tip: Review the logic above to help your child master the concept of 6 g 3 worksheet.