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what is translation in geometry

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I'm sure @Compassionate can tell you, as I don't remember. However, for future reference, it's usually a good idea to post math questions in the math section.
\(\Huge{\color{purple}{\textbf{W}} \color{orange}{\cal{E}} \color{green}{\mathbb{L}} \color{blue}{\mathsf{C}} \color{maroon}{\rm{O}} \color{red}{\tt{M}} \color{gold}{\tt{E}} \space \color{orchid}{\mathbf{T}} \color{Navy}{\mathsf{O}} \space \color{OrangeRed}{\boldsymbol{O}} \color{Olive}{\mathbf{P}} \color{Lime}{\textbf{E}} \color{DarkOrchid}{\mathsf{N}} \color{Tan}{\mathtt{S}} \color{magenta}{\mathbb{T}} \color{goldenrod}{\mathsf{U}} \color{ForestGreen}{\textbf{D}} \color{Salmon}{\mathsf{Y}} \ddot \smile }\) Hi, my name is Compassionate. Nice to meet you! :) A translation is a type of transformation that simply moves a figure from one location to another. The translation rule will tell you how the image has moved. The rule (x, y) → (x + 1, y - 2) means all x-coordinates of the pre-image are moved 1 unit right while all y-coordinates are moved 2 units down to create the image. Remember that a translation can also be seen as a function which is a type of input/output machine. • If you had a point at (2, 3) and wanted to translate it using the rule (x+1, y-2), you first use the x-coordinate rule of x+1 as the input to find the output. o →If 2 is placed in for x and then, by following the rule of x+1, add 1 to the x-coordinate, the output is 2+1 which equals 3. o →If 3 is placed in for y and then, by following the rule of y-2, subtract 2 from the y-coordinate, the output is 3-2 which equals 1. Please, come back to OpenStudy, ask questions, get answers, and have fun! OpenStudy Ambassador: Compassionate
If there's anything he hasn't covered in his post, please visit http://www.mathsisfun.com/geometry/translation.html for further explanation.

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