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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.
Is a figure and its slide image always congruent?
no
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 term describes a transformation that does not change a figure's size or shape?
The term that describes a transformation that does not change a figure's size or shape is "isometry." Isometric transformations include translations, rotations, and reflections, which maintain the original dimensions and angles of the figure. As a result, the pre-image and image of the transformation are congruent.
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
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.
Is a figure and its slide image always congruent?
no
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 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'
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
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
A figure resulting from a transformation?
A figure resulting from a transformation is called an IMAGE
What is true about the result of a rigid transformation?
The object and its image are congruent.
What is The new figure that is produced in a transformation?
It is the image from the transformation.
Is rotation always creates a congruent image to the original figure?
Figures are congruent if and only if they are related by a translation, reflection, or rotation, or some combination of these transformations.
