To translate a shape in math means to move or slide it in a specific direction without changing its size or shape.

## So let’s look deeper

To translate a shape in math means to move or slide it in a specific direction without changing its size or shape. This process is also known as a rigid transformation. This means that the shape’s orientation and size remain the same, but its position changes.

A famous example of a translated shape is the game of Tetris. Each piece can be moved left, right, up, or down without changing its shape or size. This is a translation.

According to the National Council of Teachers of Mathematics, “Translating a geometric figure involves moving all of the points of the figure the same distance in the same direction.” For example, if we wanted to translate a rectangle two units to the right, all its points would need to be moved two units to the right.

Shapes can also be translated on a coordinate plane. This means that the shape is moved along the x-axis and/or the y-axis. The amount the shape is translated will depend on the x and y values given for the transformation. A translation can be represented using a vector, which specifies the direction and the distance moved.

There are many practical applications for translating shapes in math, including in architecture, engineering, and computer graphics. In these fields, translating shapes is often necessary to accurately design buildings or create computer-generated images.

A famous quote on the topic of translation is from the French mathematician and philosopher Blaise Pascal. He said, “The art of persuasion consists in being able to make your interlocutor see the geometric truth without laborious measurements and demonstrations.”

Here is a visual representation of a translated shape:

Original Shape | Translated Shape |
---|---|

## There are alternative points of view

Definition: In math, a translation moves a shape left, right, up, or down but does not turn. The translated shapes (or the image) appear to be the same size as the original shape, indicating that they are congruent. They’ve simply shifted in one or more directions.

To translate a shape in math means to move it left or right and/or up or down without rotating it or changing its size. The shape that has been translated is called the image and it is congruent to the original shape, which is called the object. The translation can be described by the distance and direction of the movement. For example, translating a shape 3 right means to move it 3 squares right.

Translating a shape means to move it without rotating it or changing its size. All points in the shape move by exactly the same distance in the same direction. The original shape is called the object and the shape that has been translated is called the image. For example, translating a shape 3 right means to move it 3 squares right.

A translation in math

moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions. Since it is just moving of the shape from one place to other, there is no change in the shape.

## See the answer to your question in this video

The video tutorial titled “Translations – Corbettmaths” explains translations in mathematics, which is when a shape is moved without being rotated or reflected. The movement can be described using a vector or in words, and to carry out a translation, one can identify how each corner of the shape was moved to its corresponding location in the translated image. The video gives an example of translating a triangle using vector notation and teaches how to draw the resulting shape accurately using a ruler.

## People also ask

Similar

**to move it**. When a shape is translated it does not rotate or change size. Every point on the shape moves the same distance in the same direction. A translation 3 right means that the whole shape moves 3 squares right from its original position. When translating a shape it is easiest to move all of its corners first.

**vector**in the image. This translation is a combination of horizontal and vertical displacements. Decide on a reference point to help describe the translation. This is labelled P. From shape E to shape F, the reference point P has moved 7 squares to the left.

**Moving**… without rotating, resizing or anything else, just moving. in the same direction. To see how this works, try translating different shapes here: Note: You can translate either by angle-and-distance, or by x-and-y. Try both to see what happens.

**vector**in the image. This translation is a combination of horizontal and vertical displacements. Decide on a reference point to help describe the translation. This is labelled P. From shape E to shape F, the reference point P has moved 7 squares to the left.