A transformation in which size is preserved is called an isometry. Isometries maintain the distances between points, ensuring that the original shape and size of an object remain unchanged. Examples of isometric transformations include translations, rotations, and reflections. These transformations alter the position or orientation of a shape without affecting its dimensions.
A transformation that will not produce a congruent figure is a dilation. Dilation changes the size of a figure while maintaining its shape, meaning the resulting figure is similar but not congruent to the original. In contrast, congruent figures have the same size and shape, which is not preserved during dilation. Other transformations that maintain congruence include translations, rotations, and reflections.
A rigid transformation is when a shape is moved with no changes to its shape whereas a size transformation is when a shape is moved with its shape becoming smaller or larger.
No, dilation is not a rigid motion transformation. Rigid motion transformations, such as translations, rotations, and reflections, preserve distances and angles. In contrast, dilation changes the size of a figure while maintaining its shape, thus altering distances between points. Therefore, while the shape remains similar, the overall dimensions are not preserved.
transformation
It could be transformation.
A isometry is a transformation where distance (aka size) is preserved. In a dilation, the size is being altered, so no, it is not an isometry.
In any energy transformation energy is preserved.
A transformation that will not produce a congruent figure is a dilation. Dilation changes the size of a figure while maintaining its shape, meaning the resulting figure is similar but not congruent to the original. In contrast, congruent figures have the same size and shape, which is not preserved during dilation. Other transformations that maintain congruence include translations, rotations, and reflections.
transformation
A rigid transformation is when a shape is moved with no changes to its shape whereas a size transformation is when a shape is moved with its shape becoming smaller or larger.
size
The size of the shape changes with a similarity transformation (enlargement), whereas it does not with a congruence transformation.
A rigid transformation means it has the same size and shape so it would be a dilation
No, dilation is not a rigid motion transformation. Rigid motion transformations, such as translations, rotations, and reflections, preserve distances and angles. In contrast, dilation changes the size of a figure while maintaining its shape, thus altering distances between points. Therefore, while the shape remains similar, the overall dimensions are not preserved.
Dilation
transformation
It could be transformation.