In maths, translate means to move an object from one location to another without changing its shape or size.

## More comprehensive response question

In mathematics, translation involves moving an object from one location to another while maintaining its original size, shape, angles, and orientation. Translation is a fundamental concept in geometry and is essential in transformations, which involve the movement of an object in a coordinate plane. It is a vector operation that can be used to change the position of shapes or points in space.

“Translation is the soul which gives the image its life.” – Lao Tzu

Some interesting facts about translations in mathematics include:

- In three-dimensional space, translations involve moving an object in any direction along a vector. In two dimensions, translations are limited to up, down, left, or right.
- Translations can be described by coordinate geometry by using vector notation to indicate the direction and distance of movement.
- Translations are a type of isometry, which is a transformation that preserves distance and angles.
- Translations can be combined with other transformations, such as reflections or rotations, to create more complex geometric movements.
- Translations are used in many areas of math, including algebra, calculus, and trigonometry.

Here is an example of a translation table:

Object | Starting Position | Translation Vector | Ending Position |
---|---|---|---|

A | (1, 2) | (3, 4) | (4, 6) |

B | (-2, 5) | (-4, 1) | (-6, 6) |

C | (0, 0) | (0, 3) | (0, 3) |

In the table, Object A is translated three units to the right and four units upwards, resulting in a new position of (4, 6). Object B is translated four units to the left and one unit downwards, resulting in a new position of (-6, 6). Object C is translated three units upwards but does not move horizontally, resulting in a new position of (0, 3).

In conclusion, translations are an essential concept in mathematics, particularly in geometry and transformations. They involve moving objects while preserving their original characteristics and are used in many areas of math. As Lao Tzu said, “Translation is the soul which gives the image its life.”

## Video response to “What does translate mean in maths?”

This video explains the concept of translations in geometry, which involves sliding a figure from one location to another without changing size or orientation. This movement is denoted by the notation T, with the a and b values corresponding to the x and y coordinates of the point being translated. The video provides examples of translating a line segment and a triangle on a graph and demonstrates how to determine the new coordinates of the vertices using the values of translation. Finally, the video emphasizes that translations do not change size or orientation, and encourages viewers to subscribe to their channel and visit their website for more content and practice activities.

## There are additional viewpoints

What is a translation? A translation is

a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

Translation in math is a transformation of a shape that moves it to a different position without changing its size or orientation. It is an example of an isometry, which means that the length of the sides and the angles of the shape are preserved. Every point in the shape is translated the same distance in the same direction.

Translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Every point in the shape is translated the same distance in the same direction.

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.

## Fascinating Facts

**Interesting fact:**This means that a translation is an isometric transformation which means that the preimage and image are congruent figures, as ck-12 accurately states. So how do we represent translations mathematically? We use vectors to represent a translation. Which means we need direction (up, down, left, or right) and magnitude (length of units).

**It is interesting:**An object that looks the same before and after translation is said to have translational symmetry. A common example is a periodic function, which is an eigenfunction of a translation operator. Wikimedia Commons has media related to Translation (geometry).

**Interesting fact:**In translation notation, the first number represents how many units in the x direction, the second number, how many in the y direction. Both numbers tell us about how far and in what direction we are going to slide the point.

## I am sure you will be interested in these topics

Simply so, **How do you translate in math?**

Okay you can slide it right if you add to the X. You’ll slide it left if you subtract from the X it’ll. Slide up if you add to the Y. And then it will slide down if you subtract from the Y.

Then, **What does translation mean in math for kids?** In geometry translation means moving a shape into a different position, without changing it in any way. In Year 5 children are introduced to shape translation by giving them shapes on squared paper; they then need to be moved a certain number of squares up, down, left or right.

Then, **What is a translation in math example?** A translation is *a transformation that moves every point in a figure the same distance in the same direction*. For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written ( x , y ) → ( x + 5 , y + 3 ) .

In this way, **What does it mean to translate a line in math?** As an answer to this: When you translate something in geometry, you’re simply moving it around. You don’t distort it in any way. If you translate a segment, it remains a segment, and its length doesn’t change.

One may also ask, **What is the definition of translation in math terms?**

The reply will be: Translation math definition is the rigid transformation on a pre-image using a horizontal, vertical, or slanted movement on a plane. This movement is also described as a slide.

**What is reflection and translation in math?** Reflections: transformation representing flip of a figure *in *a point, a line, or a plane. Translation: transformation that moves all points of a figure the same distance *in *the same direction. Show Video Lesson. Try the free Mathway calculator and problem solver below to practice various math topics.

Just so, **What is the translation formula?**

What Is the Formula for Translation? Translation Math: Formula. The translation math formula for any function, (f(x)) is given by: ( f(x) = f(x + k) + C ) where, k = Number of units for translation in x-axis. C = Number of units for translation in y-axis. or, Any function f(x,y), after translation can be represented as: (f(x pm k, y pm l))