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12.8: Study Guide

Difficulty Level: At Grade Created by: CK-12

Keywords: Define, write theorems, and/or draw a diagram for each word below.

1st\begin{align*}1^{st}\end{align*} Section: Exploring Symmetry

Line of Symmetry

Line Symmetry

Rotational Symmetry

Center of Rotation

Angle of Rotation

Homework:

2nd\begin{align*}2^{nd}\end{align*} Section: Translations

Transformation

Rigid Transformation

Translation

Homework:

3rd\begin{align*}3^{rd}\end{align*} Section: Reflections

Reflection

Line of Reflection

Reflection over the y\begin{align*}y-\end{align*}axis

Reflection over the x\begin{align*}x-\end{align*}axis

Reflections over a horizontal line

Reflections over a vertical line

Reflection over y=x\begin{align*}y = x\end{align*}

Reflection over y=x\begin{align*}y = -x\end{align*}

Homework:

4th\begin{align*}4^{th}\end{align*} Section: Rotations

Rotation

Center of Rotation

Angle of Rotation

Rotation of 180\begin{align*}180^\circ\end{align*}

Rotation of 90\begin{align*}90^\circ\end{align*}

Rotation of 270\begin{align*}270^\circ\end{align*}

Homework:

5th\begin{align*}5^{th}\end{align*} Section: Compositions of Transformations

Composition (of transformations)

Glide Reflection

Reflections over Parallel Lines Theorem

Reflection over the Axes Theorem

Reflection over Intersecting Lines Theorem

Homework:

Extension: Tessellating Polygons

Tessellation

Homework:

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