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The pre-image and the image are congruent figures when a rigid transformation is applied. Rigid transformations include translations, rotations, and reflections, which preserve the shape and size of the figures. Thus, the corresponding sides and angles remain equal, ensuring that the pre-image and image 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.
What is the transformation in which the preimage and it image are congruent?
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.
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.
How does the orientation of the image of the triangle compare with the orientation of the preimage?
The orientation of the image of the triangle can differ from the orientation of the preimage based on the type of transformation applied. For example, if the triangle undergoes a reflection, the image will have an opposite orientation compared to the preimage. However, transformations such as translations or rotations preserve the orientation, meaning the image will maintain the same orientation as the preimage. Thus, the orientation comparison depends on the specific transformation used.
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.
What is the transformation in which the preimage and it image are congruent?
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.
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
What type of transformation are the pre-image and the image congruent figures?
isometry
Is preimage and image are congruent in a translation?
true
Is a preimage and image are always congruent in a reflection?
Yup
A preimage and an image are congruent in an isometry?
Yes. Being congruent is part of the definition of an isometry.
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 image are congruent in a rotation always sometimes or never?
Sometimes
Identify the transformation where the image has the same orientation as the preimage?
A translation
