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.
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 changing the size or position of a shape.
How do we translate shapes?
In translations, we slide a shape around on a grid. We use the letter "T" to represent translations. We move every point of the shape a certain distance left or right, and up or down, to create a new shape that’s the same size and shape as the original.
Similar
What does it mean to translation in math?
Answer will be: 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.
How do you translate an object in math?
Answer: In geometry, a translation is the shifting of a figure from one place to another without rotating, reflecting or changing its size. This is done by moving the vertices of the figure the prescribed number of spaces on a coordinate plane and then drawing the new figure.
What does translating a shape mean?
Response will be: Translating a shape means 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.
What is the translation of shape C to shape D?
Response: The translation of shape C to shape D is described as the 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.
What does 'translation' mean In geometry?
In Geometry, "Translation" simply means 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.
How do you translate a shape horizontally and vertically?
The response is: When asked to translate a shape both horizontally and vertically, complete the horizontal translation first and then move these points in the vertical direction separately. We first move each of the corners of the square 3 squares to the right. We mark the position of the corners after they have been translated 3 squares right.
What does translating a shape mean?
Response to this: Translating a shape means 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.
What does 'translation' mean In geometry?
As an answer to this: In Geometry, "Translation" simply means 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.
What is the translation of shape C to shape D?
The translation of shape C to shape D is described as the 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.
How do you translate a shape horizontally and vertically?
Response will be: When asked to translate a shape both horizontally and vertically, complete the horizontal translation first and then move these points in the vertical direction separately. We first move each of the corners of the square 3 squares to the right. We mark the position of the corners after they have been translated 3 squares right.
