Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
Let's analyze the given problem step-by-step to determine which statement accurately describes the dilation of the triangle.
1. Understanding Dilation and Scale Factor:
- Dilation is a transformation that changes the size of a figure but not its shape.
- A scale factor, \( n \), determines how much the figure is enlarged or reduced.
- If \( n \) is greater than 1 (\( n > 1 \)), the figure is enlarged.
- If \( n \) is between 0 and 1 (\( 0 < n < 1 \)), the figure is reduced.
2. Given Scale Factor:
- The given scale factor is \( n = \frac{1}{3} \).
3. Analyzing the Scale Factor:
- The value of \( n \) is \( \frac{1}{3} \).
- Since \( \frac{1}{3} \) is between 0 and 1 (i.e., \( 0 < \frac{1}{3} < 1 \)), the triangle will be reduced in size.
4. Determining the Correct Statement:
- Considering \( 0 < \frac{1}{3} < 1 \), we can conclude that the dilation results in a reduction of the size of the triangle.
Therefore, the correct statement is:
- "It is a reduction because \( 0 < n < 1 \)."
So, the true statement regarding the dilation is that:
- It is a reduction because [tex]\( 0 < n < 1 \)[/tex].
1. Understanding Dilation and Scale Factor:
- Dilation is a transformation that changes the size of a figure but not its shape.
- A scale factor, \( n \), determines how much the figure is enlarged or reduced.
- If \( n \) is greater than 1 (\( n > 1 \)), the figure is enlarged.
- If \( n \) is between 0 and 1 (\( 0 < n < 1 \)), the figure is reduced.
2. Given Scale Factor:
- The given scale factor is \( n = \frac{1}{3} \).
3. Analyzing the Scale Factor:
- The value of \( n \) is \( \frac{1}{3} \).
- Since \( \frac{1}{3} \) is between 0 and 1 (i.e., \( 0 < \frac{1}{3} < 1 \)), the triangle will be reduced in size.
4. Determining the Correct Statement:
- Considering \( 0 < \frac{1}{3} < 1 \), we can conclude that the dilation results in a reduction of the size of the triangle.
Therefore, the correct statement is:
- "It is a reduction because \( 0 < n < 1 \)."
So, the true statement regarding the dilation is that:
- It is a reduction because [tex]\( 0 < n < 1 \)[/tex].
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.