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).
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.
reflection
No figure is changed by a translation so the last part of the question is irrelevant. Any figure with a horizontal line of symmetry will not be changed by a horizontal reflection.
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.
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
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).
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.