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A translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction. Learn about the definition, properties, applications, and examples of translations in Euclidean geometry, physics, and mathematics.
Learn what translation in math is, how to apply it to shapes and functions, and how to graph it on the coordinate plane. Find out the preimage and image of a translation, the rules of translation, and the matrix representation of translation.
Illustrated definition of Translation: Sliding: moving a shape without rotating or flipping it. The shape still looks exactly the same, just in a...
Learn what translation means in geometry, how to translate shapes and points, and how to write down the translation as a formula. See interactive graphs and examples of translation in different directions and distances.
Learn what a translation is in geometry and how to perform it using vectors or coordinates. See examples of translating shapes and points in the plane.
Learn what translation math is, how to translate 2D shapes and how to describe translations using column vectors. See examples, practice questions and teaching tips for geometry and algebra students.
A translation \(\alpha\) (also known as "slide") is a bijective mapping from \(\mathbb{R}^{2}\) to \(\mathbb{R}^{2} \) that sends point \((x,y)\) to \((x',y')\) such that the \(\alpha\) has equations \(\small \begin{cases} x' = x+a \\ y'=y+b \end{cases}\) for some \(a, b \in \mathbb{R} \).
