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For each figure below, determine if it has rotational symmetry. If it does, give the smallest angle of rotation needed for the figure to appear unmoved. Rotational symmetry? O Yes O No Rotational symmetry? Yes No Angle? Angle?

For each figure below, determine if it has rotational symmetry. If it does, give the smallest angle of rotation needed for the figure to appear unmoved. Rotational symmetry? O Yes O No Rotational symmetry? Yes No Angle? Angle?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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### Understanding Rotational Symmetry Rotational symmetry refers to a condition where a figure looks the same after a certain amount of rotation. To determine if a shape has rotational symmetry, you need to look for angles of rotation where the figure appears unchanged. #### Instructions for Evaluating Rotational Symmetry For each figure below, determine if it has rotational symmetry. If it does, provide the smallest angle of rotation needed for the figure to appear as though it hasn't moved. --- #### Figures and Analysis 1. **Pentagon Shape (Left Figure)** - **Rotational Symmetry?** - Options: Yes or No - **Angle?** - Text box for input. 2. **Equilateral Triangle Shape (Right Figure)** - **Rotational Symmetry?** - Options: Yes or No - **Angle?** - Text box for input. --- #### Additional Interface Elements - Three buttons are present at the bottom of the interface: - **X:** Likely denotes a cancel or close option. - **↻:** Possibly for refreshing or resetting the form. - **?:** Usually indicates help or additional information. - There is also a **Continue** button to proceed to the next step after evaluating the figures for rotational symmetry. By assessing these shapes, users can deepen their understanding of rotational symmetry and recognize how certain angles bring a figure back to its original orientation.
Transcribed Image Text:### Understanding Rotational Symmetry Rotational symmetry refers to a condition where a figure looks the same after a certain amount of rotation. To determine if a shape has rotational symmetry, you need to look for angles of rotation where the figure appears unchanged. #### Instructions for Evaluating Rotational Symmetry For each figure below, determine if it has rotational symmetry. If it does, provide the smallest angle of rotation needed for the figure to appear as though it hasn't moved. --- #### Figures and Analysis 1. **Pentagon Shape (Left Figure)** - **Rotational Symmetry?** - Options: Yes or No - **Angle?** - Text box for input. 2. **Equilateral Triangle Shape (Right Figure)** - **Rotational Symmetry?** - Options: Yes or No - **Angle?** - Text box for input. --- #### Additional Interface Elements - Three buttons are present at the bottom of the interface: - **X:** Likely denotes a cancel or close option. - **↻:** Possibly for refreshing or resetting the form. - **?:** Usually indicates help or additional information. - There is also a **Continue** button to proceed to the next step after evaluating the figures for rotational symmetry. By assessing these shapes, users can deepen their understanding of rotational symmetry and recognize how certain angles bring a figure back to its original orientation.
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