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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.
What else can I help you with?
Does dilation always make a congruent figure?
No it makes the figure bigger or smaller than the original
What is The original figure in a transformation?
It is the figure before any transformation was applied to it.
What type of transformation can change the size of an image from the original figure?
Dilation.
What is definition of image in math?
The figure that results from some transformation of a figure. It is often of interest to consider what is the same and what is different about a figure and its image EX: original Image
What marks used on a figure to indicate congruent angles?
marks used on a figure to indicate congruent
Which of the following transformation will always produce a congruent figure?
The identity transformation.
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.
What is Isometry?
An isometry is a transformation in which the original figure and its image are congruent. Shape remains constant as size increases.
What type of tranformation does not result in a figure that is congruent to the original one?
An enlargement. In general, a non-linear transformation.
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 is the transformation that reduces or enlarges a figure?
congruent figure
What transformation always produce a congruent figure?
Reflections, translations, rotations.
Does dilation always make a congruent figure?
No it makes the figure bigger or smaller than the original
What transformation will produce a figure that is similar but not congruent?
A transformation that produces a figure that is similar but not congruent is a dilation. Dilation involves resizing a figure by a scale factor, which increases or decreases the size while maintaining the same shape and proportional relationships of the sides and angles. As a result, the new figure will have the same shape as the original but will differ in size, making them similar but not 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 of the following transformation will always produce a congruent figure a rotation b contraction c dilation d expansion?
A. Rotation
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.
