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 coordinates of the image are typically related to the coordinates of the preimage through a specific transformation, which can include translations, rotations, reflections, or dilations. For example, if a transformation is defined by a function or a matrix, the coordinates of the image can be calculated by applying that function or matrix to the coordinates of the preimage. Thus, the relationship depends on the nature of the transformation applied.
A translation of shape on the coordinated grid moves it in the same distance and in the same direction
The three types of dilations are an enlarged image (the image is larger than the preimage), a reduced image (the image is smaller than the preimage) and an equal image (the image is the same size as the preimage).
R'
(3, 2)
The coordinates of the image are typically related to the coordinates of the preimage through a specific transformation, which can include translations, rotations, reflections, or dilations. For example, if a transformation is defined by a function or a matrix, the coordinates of the image can be calculated by applying that function or matrix to the coordinates of the preimage. Thus, the relationship depends on the nature of the transformation applied.
Translation.
true
A translation
up
70
true
answer
Yes.
(-2, -5)
It is called an image.
how does translation a figure vertically affect the coordinates of its vertices