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Which transformation will create an image that is not congruent to the original?
An enlargement but the angle sizes will remain the same.
What three transformations have isometry?
The three transformations that have isometry are translations, rotations, and reflections. Each of these transformations preserves the distances between points, meaning the shape and size of the figure remain unchanged. As a result, the original figure and its image after the transformation are congruent.
A mapping for which the original figure and its image are congruent?
Isometry
What are transformations that result is an image that is the same shape and size as the original?
They are translation, reflection and rotation. An enlargement changes the size of the image.
What is Isometry?
An isometry is a transformation in which the original figure and its image are congruent. Shape remains constant as size increases.
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.
What sequence of transformation produces an image that is not congruent to the original figure?
A sequence of transformations that produces an image not congruent to the original figure typically involves a dilation combined with one or more rigid transformations (such as translation, rotation, or reflection). Dilation changes the size of the figure without altering its shape, resulting in a similar but not congruent figure. For example, if you dilate a triangle by a factor greater than 1 and then translate it, the resulting triangle will not be congruent to the original.
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 will create an image that is not congruent to the original?
An enlargement but the angle sizes will remain the same.
Why under transformation a figure is always congruent to its image?
A figure is always congruent to its image under transformation because congruence means that the two figures have the same shape and size. Transformations such as translations, rotations, and reflections preserve the lengths of sides and the measures of angles, ensuring that the original figure and its image maintain their geometric properties. Therefore, any transformation applied will result in an image that is congruent to the original figure.
What three transformations have isometry?
The three transformations that have isometry are translations, rotations, and reflections. Each of these transformations preserves the distances between points, meaning the shape and size of the figure remain unchanged. As a result, the original figure and its image after the transformation are congruent.
What transformation is not a congruent image?
A transformation that is not a congruent image is a dilation. Unlike rigid transformations such as translations, rotations, and reflections that preserve shape and size, dilation changes the size of a figure while maintaining its shape. This means that the original figure and the dilated figure are similar, but not congruent, as their dimensions differ.
In any combination of transformations that include translation, rotation and/or reflection, what kind of relationship between the original shape and the final image exists?
choose one of these answers correctly? The final image is smaller than the original shape. The original shape and the final image are congruent. The final image is bigger than the original shape. There is no way to know what that relationship would be.
Which type of transformation are the pre-image and the image congruent figures?
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.
What transformations are similar to the original image?
The result of any of the following transformations, or their combinations, is similar to the original image:translation,rotation,enlargement,reflection.
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.
A mapping for which the original figure and its image are congruent?
Isometry
