https://file.aiquickdraw.com/mathbot/file/1729620688831ftpp6xj5.jpg

The image shows three polygons labeled A, B, and C, with instructions to draw scaled copies of each polygon using the following scale factors:
- Polygon A: scale factor of 2
- Polygon B: scale factor of \( \frac{1}{2} \)
- Polygon C: scale factor of \( \frac{3}{2} \)

### Explanation of how to scale each polygon:
1. **Polygon A (Scale Factor 2)**: Multiply each side length of polygon A by 2. This will double its size in all dimensions. The resulting shape will be a larger, similar triangle.
  
2. **Polygon B (Scale Factor \( \frac{1}{2} \))**: Multiply each side length of polygon B by \( \frac{1}{2} \), or simply halve the size of polygon B. The new shape will be a smaller, proportional version of polygon B.

3. **Polygon C (Scale Factor \( \frac{3}{2} \))**: Multiply each side length of polygon C by \( \frac{3}{2} \), meaning increase each side by 1.5 times its original length. The resulting shape will be a larger version of polygon C.

Do you need any further details on scaling or would you like specific measurements for the new polygons?

Here are 5 related questions to deepen understanding:
1. How would the angles of each polygon change after scaling?
2. What happens to the perimeter of each polygon after scaling?
3. How does the area of each polygon change with these scale factors?
4. How would you describe the relationship between the original and scaled shapes?
5. How would scaling a polygon by a factor of 0.75 affect its size?

**Tip**: When scaling a polygon, the shape's angles remain unchanged, only the side lengths are adjusted proportionally.

Draw a scaled copy of Polygon A using a scale factor of 2. Draw a scaled copy of Polygon B using a scale factor of 1/2. Draw a scaled copy of Polygon C using a scale factor of 3/2.

Learn how to scale polygons using various scale factors. This problem involves scaling polygons A, B, and C by factors of 2, 1/2, and 3/2, respectively. Understand how side lengths change while maintaining the shape's similarity. Suitable for students in Grades 6-8.

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