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The transformation in which the preimage and its image are congruent is called a rigid transformation or isometry. This type of transformation preserves distances and angles, meaning that the shape and size of the figure remain unchanged. Common examples include translations, rotations, and reflections. As a result, the original figure and its transformed version are congruent.
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When the preimage and image are congruent the transformation is called an isometry true or false?
True. An isometry is a transformation that preserves distances and angles, meaning that the preimage and image are congruent. Examples of isometries include translations, rotations, and reflections, all of which maintain the shape and size of geometric figures.
Dilation is a transformation whose preimage and image are A. similar B. adjacent C. complementary D. congruent?
similar
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 is true about the result of a rigid transformation?
The object and its image are congruent.
Which transformation does not produce a congruent image?
A transformation that does not produce a congruent image is a dilation. While dilations change the size of a figure, they maintain the shape, meaning the resulting image is similar but not congruent to the original. In contrast, transformations such as translations, rotations, and reflections preserve both size and shape, resulting in congruent images.
Which type of transfoemation does not necessarily result in the image being congruent to the preimage?
An enlargement transformation
Dilation is a transformation whose preimage and image are A. similar B. adjacent C. complementary D. congruent?
similar
Is preimage and image are congruent in a translation?
true
Is a preimage and image are always congruent in a reflection?
Yup
Given a preimage and image, which transformation appears to be a rotation?
answer
Given a preimage and image, which transformation appears to be a reflection?
answer
A preimage and an image are congruent in an isometry?
Yes. Being congruent is part of the definition of an isometry.
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
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.
A preimage and image are congruent in a rotation always sometimes or never?
Sometimes
The original figure in a transformation?
What is a preimage. (The new figure is called the image.)
