# 12.7: Chapter 12 Review

Difficulty Level: At Grade Created by: CK-12

## Keywords & Theorems

Exploring Symmetry

• Line of Symmetry
• Line Symmetry
• Rotational Symmetry
• Center of Rotation
• Angle of Rotation

Translations

• Transformation
• Rigid Transformation
• Translation

Reflections

• Reflection
• Line of Reflection
• Reflection over the \begin{align*}y-\end{align*}axis
• Reflection over the \begin{align*}x-\end{align*}axis
• Reflection over \begin{align*}y = x\end{align*}
• Reflection over \begin{align*}y = -x\end{align*}

Rotations

• Rotation
• Center of Rotation
• Angle of Rotation
• Rotation of \begin{align*}180^\circ\end{align*}
• Rotation of \begin{align*}90^\circ\end{align*}
• Rotation of \begin{align*}270^\circ\end{align*}

Compositions of Transformations

• Composition (of transformations)
• Glide Reflection
• Reflections over Parallel Lines Theorem
• Reflection over the Axes Theorem
• Reflection over Intersecting Lines Theorem

Extension: Tessellating Polygons

• Tessellation

## Review Questions

Match the description with its rule.

1. Reflection over the \begin{align*}y-\end{align*}axis - A. \begin{align*}(y, -x)\end{align*}
2. Reflection over the \begin{align*}x-\end{align*}axis - B. \begin{align*}(-y, -x)\end{align*}
3. Reflection over \begin{align*}y = x\end{align*} - C. \begin{align*}(-x, y)\end{align*}
4. Reflection over \begin{align*}y = -x\end{align*} - D. \begin{align*}(-y, x)\end{align*}
5. Rotation of \begin{align*}180^\circ\end{align*} - E. \begin{align*}(x, -y)\end{align*}
6. Rotation of \begin{align*}90^\circ\end{align*} - F. \begin{align*}(y, x)\end{align*}
7. Rotation of \begin{align*}270^\circ\end{align*} - G. \begin{align*}(x, y)\end{align*}
8. Rotation of \begin{align*}360^\circ\end{align*} - H. \begin{align*}(-x, -y)\end{align*}

## Texas Instruments Resources

In the CK-12 Texas Instruments Geometry FlexBook, there are graphing calculator activities designed to supplement the objectives for some of the lessons in this chapter. See http://www.ck12.org/flexr/chapter/9697.

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