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Identify which 2D shapes tessellate from the provided options on this educational worksheet.

Worksheet titled "Which Shapes Tessellate? Sheet 1" showing various 2D shapes including triangle, trapezoid, circle, U-shape, arrow, rectangle, house shape, flag shape, and star.

Worksheet titled "Which Shapes Tessellate? Sheet 1" showing various 2D shapes including triangle, trapezoid, circle, U-shape, arrow, rectangle, house shape, flag shape, and star.

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Show Answer Key & Explanations Step-by-step solution for: Tessellations in Geometry 1
Explanation:
Let's look at each shape and think about whether it can be folded to make a 3D shape.

1. Triangle: A triangle can be folded into a pyramid (like a tent). So, it can make a 3D shape.

2. Trapezoid: A trapezoid is a 4-sided shape. If you fold it, you can make a pyramid or a prism. So, it can make a 3D shape.

3. Circle: A circle can be folded into a cone (like an ice cream cone). So, it can make a 3D shape.

4. U-shape: This shape has a flat bottom and two sides going up. It can’t fold into a 3D shape because it doesn’t have a top to close it. It’s like a box without a lid. So, it cannot make a 3D shape.

5. Arrow shape: This is a 5-sided shape. It can be folded into a pyramid or a prism. So, it can make a 3D shape.

6. Rectangle: A rectangle can be folded into a box (like a shoebox). So, it can make a 3D shape.

7. House shape (triangle on top of a square): This is like a house. It can be folded into a pyramid on top of a cube. So, it can make a 3D shape.

8. Flag shape: This is a rectangle with a point. It can be folded into a pyramid or a tent. So, it can make a 3D shape.

9. Star shape: A star has many points. It can be folded into a 3D star shape, like a Christmas ornament. So, it can make a 3D shape.

Now, the rule says: "You can only use the shape on its own for each pattern." That means we need to find which shape cannot be used to make a 3D shape by itself.

The U-shape is the only one that can’t be folded into a 3D shape by itself because it doesn’t close. All the others can.

So, the answer is the U-shape.

Final Answer: U-shape
Parent Tip: Review the logic above to help your child master the concept of tesselation worksheet.
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