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What transformation is not an isometry?
Dilation - the image created is not congruent to the pre-image
A mapping for which the original figure and its image are congruent?
Isometry
Why is a dilation not an isometry?
Because the image is not the same size as the preimage. To do a dilation all you do is make the image smaller or larger than it was before.
What is Isometry?
An isometry is a transformation in which the original figure and its image are congruent. Shape remains constant as size increases.
Which type of transfoemation does not necessarily result in the image being congruent to the preimage?
An enlargement transformation
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 of the following properties refers to the corresponding side lengths of the preimage and image in an isometry?
distance
Is preimage and image are congruent in a translation?
true
What type of transformation are the pre-image and the image congruent figures?
isometry
What transformation is not an isometry?
Dilation - the image created is not congruent to the pre-image
A mapping for which the original figure and its image are congruent?
Isometry
Is a preimage and image are always congruent in a reflection?
Yup
Why is a dilation not an isometry?
Because the image is not the same size as the preimage. To do a dilation all you do is make the image smaller or larger than it was before.
What is Isometry?
An isometry is a transformation in which the original figure and its image are congruent. Shape remains constant as size increases.
A preimage and image are congruent in a rotation always sometimes or never?
Sometimes
Which type of transfoemation does not necessarily result in the image being congruent to the preimage?
An enlargement transformation
