a figure is dilated by a factor of 6 by what factor will the perimeter of the figures change

When a figure is dilated by a factor of 6, all linear dimensions of the figure, including the perimeter, will also be multiplied by that same factor.

Thus, the perimeter of the figure will change by a factor of 6 as well.

### Summary:
- The perimeter of the figure will increase by a factor of 6.

Would you like further details or have any questions?

Here are some related questions you might consider:

1. How does dilation affect the area of a figure?
2. What is the relationship between dilation and volume for 3D figures?
3. Can a dilation ever reduce the size of a figure?
4. What happens to angles during a dilation?
5. How do different dilation factors compare in their effect on the perimeter?

**Tip:** When a shape is dilated, all linear measurements (like perimeter) scale by the dilation factor, but areas and volumes scale by the square and cube of the factor, respectively!

A figure is dilated by a factor of 6. By what factor will the perimeter of the figure change?

Explore how the perimeter of a figure changes when dilated by a factor of 6. This problem involves key geometric concepts such as dilation and perimeter. Suitable for students in Grades 7-9, this explanation helps clarify the relationship between dilation factors and perimeter scaling.

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