Description

what is translation in math ?

In mathematics, translation refers to the movement of a shape or object without changing its size, shape, or orientation. It’s essentially a shift of the entire object to a new position.

Think of it like sliding a piece of paper across a table. The paper remains the same size and shape, but its location has changed due to the translation.

Here’s a visual example:

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shape being translated to a new position

In mathematical terms, translation is often represented by a vector. The vector specifies the direction and distance the object should be moved.

For example:

• If the vector is (2, 3), it means the object should be moved 2 units to the right and 3 units up.

Translation is a fundamental concept in geometry and has applications in various areas of mathematics, such as:

• Coordinate geometry: Finding the new coordinates of points after a translation.
• Transformations: Combining translations with other transformations like rotations and reflections.
• Vectors: Using vectors to represent translations and other transformations.

https://www.bbc.co.uk/bitesize/topics/zbnygk7/articles/zqrkpbk

https://www.bbc.co.uk › bitesize › topics › zbnygk7 › articles › zqrkpbk
Translation – KS3 Maths – BBC Bitesize – BBC Bitesize
Maths Symmetry and transformations Key points A translation is a type of transformation . A translation moves a shape from one location to another. The new shape is congruent to the original…

https://fr.wikipedia.org/wiki/Translation

https://fr.wikipedia.org › wiki › Translation
Translation — Wikipédia
En géométrie, une translation est une transformation géométrique qui correspond à l’idée intuitive de « glissement » d’un objet, sans rotation, retournement ni déformation de cet objet. En géométrie classique, la notion de translation est très fortement liée à celle de vecteur, qu’elle suit ou précède.

https://www.cuemath.com/calculus/translation-math

https://www.cuemath.com › calculus › translation-math
Translation Math – Geometry, Graph, Rules, Functions
A translation in math (also called an isometry) is a transformation of a shape in a plane that preserves length, which means that the object is transformed without getting its dimensions affected. i.e., it may just be shifted to left/right/up/down.

https://en.wikipedia.org/wiki/Translation_(geometry)

https://en.wikipedia.org › wiki › Translation_(geometry)
Translation (geometry) – Wikipedia
In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system.

https://www.lumni.fr/video/c-est-quoi-une-translation

https://www.lumni.fr › video › c-est-quoi-une-translation
C’est quoi une translation ? – Vidéo Maths | Lumni
27 sept. 2021Translation : définition. La translation est un déplacement : en partant d’une forme géométrique, on en obtient une autre, son image. Celle-ci a exactement les mêmes propriétés géométriques, mais elle est placée à un endroit différent de la première. De plus, la translation est obligatoirement un déplacement rectiligne.

https://www.bbc.co.uk › bitesize › guides › z9jpv9q › revision › 5

https://www.bbc.co.uk › bitesize › guides › z9jpv9q › revision › 5
Translation – Transformations – Edexcel – GCSE Maths Revision – BBC
A translation moves a shape up, down or from side to side but it does not change its appearance in any other way. Translation is an example of a transformation. A transformation is a way of…

https://www.khanacademy.org › math › cc-eighth-grade-math › geometric-transformations › translations-8th › a › translations-review

https://www.khanacademy.org › math › cc-eighth-grade-math › geometric-transformations › translations-8th › a › translations-review
Translations review (article) | Translations | Khan Academy
A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction. This translation maps triangle {XYZ} X Y Z onto the blue triangle. The result is a new figure, called the image. The image is congruent to the original figure.

https://tutors.com › lesson › translation-in-geometry

https://tutors.com › lesson › translation-in-geometry
Translation in Math | Definition, Rules, Formula & Examples
11 janv. 2023A translation is a rigid transformation (a.k.a. an isometry) because it does not change the size or shape of the original figure. Translations are the simplest transformation in geometry and are often the first step in performing other transformations on a figure or shape.

https://study.com › learn › lesson › translation-math-overview-terms-examples.html

https://study.com › learn › lesson › translation-math-overview-terms-examples.html
What is Translation in Math: Graphs and Examples – Study.com
2 mars 2022Translation in math is a form of transformation where no change in size or shape takes place. What is the definition of translation in math? Translation is the movement of a pre-image via…

https://phrase.com › blog › posts › translation

https://phrase.com › blog › posts › translation
What Is Translation? (Definition, Types, Examples) | Phrase
10 mars 2023Translation is the process of converting the meaning of a written message (text) from one language to another. Translators must strike a fine balance between staying true to the original meaning and making a text sound natural in the target language—to ensure that the final text communicates the same message, feeling, and tone as the original.

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