Question
A translation is a transformation
- That moves same distance in same direction
- Changes size of image
- Changes direction
- Rotates
Hint:
The translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.
The correct answer is: That moves same distance in same direction
We have been asked where is translation possible as a transformation.
Now as we said that in translation, a point or a figure can move up, down, right, left, or anywhere else in the coordinate system. Any point can be located using a Cartesian coordinate system or coordinate system, and that point can be displayed as an ordered pair (x, y) known as Coordinates.
In cartesian plane there are 4 quadrants:
1st Quadrant
2nd Quadrant
3rd Quadrant
4th Quadrant
The sign patterns are in this way:
I- quadrant (+, +)
II-quadrant (-, +)
III-quadrant (-, -)
IV-quadrant (+, -)
Lets take an example:
(x, y) --> (x - 4, y + 3)
(x, y) --> (x + 2, y + 1)
So with these examples, we can see that it moves the same distance in the same direction.
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. A translation is a transformation that moves the same distance in the same direction.
Related Questions to study
Translation is possible
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. Translation is possible both horizontally and vertically.
Translation is possible
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. Translation is possible both horizontally and vertically.
Which translation rule is applicable for the image below?
![](data:image/png;base64,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)
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. Translation is 4 units left and 2 units up.
Which translation rule is applicable for the image below?
![](data:image/png;base64,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)
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. Translation is 4 units left and 2 units up.
Which translation rule is applicable for the image below?
![](data:image/png;base64,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)
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. Translation is 6 units right.
Which translation rule is applicable for the image below?
![](data:image/png;base64,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)
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. Translation is 6 units right.
What is the pre-image of the points (12, 7) if it has moved 4 units to the right and 3 units up?
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. So the algebraic representation will be: (12,7) → (8,4).
What is the pre-image of the points (12, 7) if it has moved 4 units to the right and 3 units up?
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. So the algebraic representation will be: (12,7) → (8,4).
An algebraic translation when an image is changing its position 4 units to the left
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. So the algebraic representation will be: (x, y) → (x - 4, y).
An algebraic translation when an image is changing its position 4 units to the left
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. So the algebraic representation will be: (x, y) → (x - 4, y).
An algebraic representation of translation of a point 6 units to the right and 3 units up
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same.
An algebraic representation of translation of a point 6 units to the right and 3 units up
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same.
The image of the point (1, 2) after moving 5 units right is
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. The algebraic representation is: (1,2) → (6,2).
The image of the point (1, 2) after moving 5 units right is
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. The algebraic representation is: (1,2) → (6,2).
The polygon before translation is
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, and its size remains the same. The polygon before translation is Pre-image.
The polygon before translation is
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, and its size remains the same. The polygon before translation is Pre-image.
If the image is moving right, the translation is for
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same.
If the image is moving right, the translation is for
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same.
In translation if the image moves vertically, then it moves
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same.
In translation if the image moves vertically, then it moves
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same.
In translation if the image moves to the right, then it moves
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same.
In translation if the image moves to the right, then it moves
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same.