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11) What transformation is represented by the figure below? A. Dilation B. Rotation C. Translation F Reflection

11) What transformation is represented by the figure below? A. Dilation B. Rotation C. Translation F Reflection

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section2.5: Vectors: A Geometric Approach
Problem 42PS
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### Understanding Geometric Transformations #### Question: What transformation is represented by the figure below? #### Options: - **A. Dilation** - **B. Rotation** - **C. Translation** - **D. Reflection** #### Explanation: In the accompanying figure, there are two identical letter "A"s, where one is positioned directly below the other. The transformation is indicated by the red cross marked over the option "D. Reflection," suggesting that out of the multiple-choice options, reflection is not the correct answer for the given geometric transformation. #### Analysis: When looking at transformations involving geometric figures, it's important to understand the different types. Here is a brief overview: 1. **Dilation**: This transformation changes the size of a figure but not its shape. There is no indication that the size has changed in the given figure, so this is not the correct transformation. 2. **Rotation**: This involves turning the figure around a point. The given figure does not seem to have rotated around any axis. 3. **Translation**: This transformation slides a figure from one position to another without turning it. The two "A"s in the figure directly align without rotation, resizing, or flipping. 4. **Reflection**: This flips the figure over a line, creating a mirror image. As mentioned, reflection is not considered the correct transformation here. Given the representations, the correct answer is likely "C. Translation," as it best describes the movement observed in the figure provided. #### Conclusion: Understanding how to identify geometric transformations is essential in geometry. By identifying the features of translation – where figures move without rotation or resizing – we can better grasp this fundamental concept.
Transcribed Image Text:### Understanding Geometric Transformations #### Question: What transformation is represented by the figure below? #### Options: - **A. Dilation** - **B. Rotation** - **C. Translation** - **D. Reflection** #### Explanation: In the accompanying figure, there are two identical letter "A"s, where one is positioned directly below the other. The transformation is indicated by the red cross marked over the option "D. Reflection," suggesting that out of the multiple-choice options, reflection is not the correct answer for the given geometric transformation. #### Analysis: When looking at transformations involving geometric figures, it's important to understand the different types. Here is a brief overview: 1. **Dilation**: This transformation changes the size of a figure but not its shape. There is no indication that the size has changed in the given figure, so this is not the correct transformation. 2. **Rotation**: This involves turning the figure around a point. The given figure does not seem to have rotated around any axis. 3. **Translation**: This transformation slides a figure from one position to another without turning it. The two "A"s in the figure directly align without rotation, resizing, or flipping. 4. **Reflection**: This flips the figure over a line, creating a mirror image. As mentioned, reflection is not considered the correct transformation here. Given the representations, the correct answer is likely "C. Translation," as it best describes the movement observed in the figure provided. #### Conclusion: Understanding how to identify geometric transformations is essential in geometry. By identifying the features of translation – where figures move without rotation or resizing – we can better grasp this fundamental concept.
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