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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.
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.
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
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
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 transformation does not always result in an image that is congruent to the original figure?
A dilation (or scaling) is a transformation that does not always result in an image that is congruent to the original figure. While translations, rotations, and reflections always produce congruent figures, dilations change the size of the figure, which means the image may be similar to, but not congruent with, the original figure.
When a transformation of a slide a flip or a turn is performed is the resulting image congruent or similar to the original?
Congruent in all three cases.
Which transformation will create an image that is not congruent to the original?
An enlargement but the angle sizes will remain the same.
Which type of transfoemation does not necessarily result in the image being congruent to the preimage?
An enlargement transformation
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 sequence of tranformations may result in an image that is similar but not congruent to the original figure?
The transformation process is an 'enlargement'
Dilation is a transformation whose preimage and image are A. similar B. adjacent C. complementary D. congruent?
similar
Which sequence of transformation produces an image that is not congruent to the original figure?
A translation of 4 units to the right followed by a dilation of a factor of 2
