Question
QUESTION 7 A scale factor of 7 means to add 7 to every side of one polygon to create a new polygon. Always It depends on the number of sides It depends on the angle sum Never
Ask by Boyd Erickson. in the United States
Mar 11,2025
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Tutor-Verified Answer
Answer
A scale factor of 7 never means adding 7 to every side of a polygon.
Solution
1. A scale factor multiplies the dimensions of a figure rather than adding a constant value.
2. For a polygon with a side length \( a \), applying a scale factor of 7 results in a new side length of \( 7a \), not \( a+7 \).
3. Therefore, adding 7 to every side is not equivalent to scaling by a factor of 7.
The correct answer is:
**Never**.
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Simplify this solution Bonus Knowledge
While it may seem intuitive to think that a scale factor of 7 means adding 7 to every side, that's actually not the case! A scale factor refers to multiplying the lengths of each side by that factor—in this instance, you would multiply each side by 7. So, if a triangle had sides of lengths 3, 4, and 5, applying a scale factor of 7 would result in new side lengths of 21, 28, and 35. When working with scale factors in geometry, it's crucial to visualize how shapes can expand or contract while maintaining their proportions. This means that two shapes can be similar even when their sizes differ. So, just remember, multiplication is the name of the game when it comes to scaling!
