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 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 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.
The same figure. A translation simply moves the figure somewhere else, without changing its shape or size.
A transformation that slides a figure horizontally is called a translation. A transformation that slides a figure vertically is also called a translation.
how does translation a figure vertically affect the coordinates of its vertices
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.
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.
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).
translation 2 units up g(1,-2), l(3,3), z(5,0), s(3,-3)
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.
slide
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.
The y-coordinates.The y-coordinates.The y-coordinates.The y-coordinates.
Translated means "slide." The y coordinates are increased
The original figure is called the pre-image. After the transformation it becomes the image.
It is (-1, 3).