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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).
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How are coordinates of the image related to the coordinates of the preimage?
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.
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 a figure is translated on a coordinate grid what conclusion can you draw fromn the preimage and image?
A translation of shape on the coordinated grid moves it in the same distance and in the same direction
What are the three types of dilations in math?
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).
what- One triangle shown is the preimage and the other triangle is the image.If R is the name of a point in the preimage, fill in the blank with the name of the image.image?
R'
How are coordinates of the image related to the coordinates of the preimage?
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.
What transformation that has the orientation as the preimage?
Translation.
Is preimage and image are congruent in a translation?
true
Identify the transformation where the image has the same orientation as the preimage?
A translation
Given a preimage and image, which transformation appears to be a translation?
up
What is the preimage for (46) under a (-24) translation?
70
The figure shows the preimage and image of three points that have been translated by a vector, plus the preimage of quadrilateral RSTU. Is this statement true or falseAA' can be used as the translation vector?
true
Given the preimage of a quadrilateral and the translation vector shown at right, which of these diagrams shows the image constructed in the plane?
answer
True or false a translation is a transformation in which every point of the preimage is moved the same distance in the same direction?
Yes.
what- Given a preimage point B(-2, 5) what are the coordinates B' if B is reflected in the x-axis?
(-2, -5)
If a transformation is performed on a polygon the resulting polygon is called what A compound transformation A translation A preimage A rigid transformation An image?
It is called an image.
How does translating a figure vertically affect the coordinates of its vertices?
how does translation a figure vertically affect the coordinates of its vertices
