Vocabulary
Complete the chart.
Word  Definition 
Mapping Rule  ___________________________________________________________ 
_____________  the final figure 
Transformation  ___________________________________________________________ 
Translation  ___________________________________________________________ 
_____________  the original figure 
Graphs of Translations
A translation is a movement of a figure. When you perform a translation on a shape, the coordinates of that shape will change:
 translating ______ means you will add the translated unit to the \begin{align*}y\end{align*} coordinate of the \begin{align*}(x, y)\end{align*}points in the preimage
 translating ______ means you will subtract the translated unit from the \begin{align*}y\end{align*} coordinate of the\begin{align*}(x, y)\end{align*} points in the preimage
 translating ______ means you will add the translated unit to the \begin{align*}x\end{align*} coordinate of the \begin{align*}(x, y)\end{align*}points in the preimage
 translating ______ means you will subtract the translated unit from the \begin{align*}x\end{align*} coordinate of the\begin{align*}(x, y)\end{align*} points in the preimage
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Translate the following figures:
 2 units down and 3 units right

1 unit up and 5 units left

4 units down and 1 unit left
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Rules for Translations
A transformation is an operation that _____________, _____________, or _____________ a shape to create a new shape. There are two notations to write transformations:
 One notation looks like \begin{align*}T_{(3, \ 5)}\end{align*} . This notation tells you to add 3 to the \begin{align*}x\end{align*} values and add 5 to the \begin{align*}y\end{align*} values.
 The second notation is a mapping rule of the form \begin{align*}(x, y) \rightarrow (x7, y+5)\end{align*} . This notation tells you that the \begin{align*}x\end{align*} and \begin{align*}y\end{align*} coordinates are translated to \begin{align*}x  7\end{align*} and \begin{align*}y + 5\end{align*} .
Which notation is the most common? ____________________
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A "rule for translation" is just a way of saying how the image was changed. It is the rule to follow if you want to recreate that image.
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Write the mapping rule to describe the movement of the points in each of the translations below.
 \begin{align*}B(4, 2) \rightarrow B^\prime(2, 2)\end{align*}
 \begin{align*}A(2, 4) \rightarrow A^\prime(2, 6)\end{align*}
 \begin{align*}C(5, 3) \rightarrow C^\prime (3, 4)\end{align*}
Write the mapping rule that represents the translation of the preimage to the image for each diagram below.
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