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How are the coordinates of a pre-image affected by a translation?

When a pre-image undergoes a translation, each coordinate of the pre-image is adjusted by adding a fixed value, known as the translation vector. This means that every point of the pre-image moves the same distance and direction, resulting in a new set of coordinates for the image. The relative positions of the points remain unchanged, preserving the shape and size of the figure. For example, if a point (x, y) is translated by (a, b), its new coordinates will be (x + a, y + b).


In a translation the original figure is called what?

In a translation, the original figure is called the "preimage." The figure that results after the translation is referred to as the "image." A translation involves moving the preimage to a new location in the coordinate plane without changing its shape or size.


What happens to a figure when the coordinates are added?

When the coordinates of a figure are added, the figure is translated or shifted in the coordinate plane. For example, if you add a constant value to each coordinate of the figure's points, it moves uniformly in the direction of that value. This transformation does not change the shape, size, or orientation of the figure; it simply relocates it to a different position.


What figure is formed by a translation of another figure?

The same figure. A translation simply moves the figure somewhere else, without changing its shape or size.


What is a transformation that slides a figure horizontally and vertically called?

A transformation that slides a figure horizontally is called a translation. A transformation that slides a figure vertically is also called a translation.

Related Questions

How does translating a figure vertically affect the coordinates of its vertices?

how does translation a figure vertically affect the coordinates of its vertices


How to translate the coordinates of a point?

Here's an example: In the coordinate plane, the point is translated to the point . Under the same translation, the points and are translated to and , respectively. What are the coordinates of and ? Any translation sends a point to a point . For the point in the problem, we have the following. So we have . Solving for and , we get and . So the translation is unit to the right and units up. See Figure 1. We can now find and . They come from the same translation: unit to the right and units up. The three points and their translations are shown in Figure 2.


How do you rotate a figure 180 degrees clockwise about origin?

To rotate a figure 180 degrees clockwise about the origin you need to take all of the coordinates of the figure and change the sign of the x-coordinates to the opposite sign(positive to negative or negative to positive). You then do the same with the y-coordinates and plot the resulting coordinates to get your rotated figure.


How are the coordinates of a pre-image affected by a translation?

When a pre-image undergoes a translation, each coordinate of the pre-image is adjusted by adding a fixed value, known as the translation vector. This means that every point of the pre-image moves the same distance and direction, resulting in a new set of coordinates for the image. The relative positions of the points remain unchanged, preserving the shape and size of the figure. For example, if a point (x, y) is translated by (a, b), its new coordinates will be (x + a, y + b).


How do you find the coordinates of the vertices of each figure after the given transformation?

translation 2 units up g(1,-2), l(3,3), z(5,0), s(3,-3)


What is a translation of a figure?

A translation of a figure is when a figure changes it's position, And can be in the direction of up, down, left, right, and maybe diagonal.


Translation from the solid figure to the dashed figure?

slide


In a translation the original figure is called what?

In a translation, the original figure is called the "preimage." The figure that results after the translation is referred to as the "image." A translation involves moving the preimage to a new location in the coordinate plane without changing its shape or size.


When reflecting a figure in the x-axis will you change all of the figures X coordinates or the y coordinates?

The y-coordinates.The y-coordinates.The y-coordinates.The y-coordinates.


What happens to the x and y coordinates when a figure is translated up?

Translated means "slide." The y coordinates are increased


When you change coordinates of points of a figure to get another figure the original figure is called what?

The original figure is called the pre-image. After the transformation it becomes the image.


What are the coordinates of another vertex of the figure A figure has a vertex at (-1 -3). If the figure has line symmetry about the x-axis.?

It is (-1, 3).