https://file.aiquickdraw.com/mathbot/file/1726043036277smfwux10.jpg

The image you've provided shows 3-D shapes along with a table that needs to be filled based on specific properties of those shapes.

### Let's break this down:
The table has these five properties:

1. **No faces with four right angles**
2. **Only one face with four right angles**
3. **More than one face with four right angles**
4. **Three edges at each vertex**
5. **More than three edges at one or more vertices**

The shapes listed in the image are:
- **A**: Cube
- **B**: Square-based pyramid
- **C**: Triangular prism
- **D**: Tetrahedron
- **E**: Octahedron
- **F**: Hexagonal prism
- **G**: Cuboid
- **H**: Pentagonal prism

### Filling the table:

1. **No faces with four right angles**  
   - This applies to shapes with triangular or polygonal faces, so:  
   **D (Tetrahedron), E (Octahedron)**

2. **Only one face with four right angles**  
   - This would apply to pyramids with square bases:  
   **B (Square-based pyramid)**

3. **More than one face with four right angles**  
   - This applies to shapes with multiple rectangular faces:  
   **A (Cube), G (Cuboid)**

4. **Three edges at each vertex**  
   - This is a property of regular polyhedra with triangular faces:  
   **D (Tetrahedron), E (Octahedron)**

5. **More than three edges at one or more vertices**  
   - This applies to prisms and more complex polyhedra:  
   **F (Hexagonal prism), H (Pentagonal prism), C (Triangular prism)**

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Would you like more details on how these shapes were categorized, or do you have any other questions? Here are five related questions to expand the discussion:

1. How do right angles define the properties of a shape?
2. Can you classify other prisms based on their properties?
3. What makes polyhedra with triangular faces distinct from other 3D shapes?
4. How can we use vertices and edges to identify different prisms?
5. Why are cubes considered the simplest example of a shape with right angles?

**Tip:** When analyzing 3-D shapes, always check the number of vertices, edges, and the types of faces for quick classification.

Look at the 3-D shapes above. Copy the table and write in the letters of the shapes based on their properties.

This task involves identifying various 3D shapes like cubes, prisms, and pyramids by their geometric properties such as the number of right angles, edges at vertices, and faces. Students will apply geometric concepts to classify these shapes.

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