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.
A non-rigid transformation is one that alters the shape or size of a figure, such as dilation or stretching. Unlike rigid motions, which preserve distances and angles (like translations, rotations, and reflections), non-rigid transformations can change the proportions and overall dimensions of an object. For example, scaling a shape to make it larger or smaller is a non-rigid transformation.
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.
A transformation that does not preserve distance and angle measures is a non-rigid transformation, such as a dilation or a shear transformation. In a dilation, the distances from a center point are scaled, changing the size of the figure but not maintaining the original shape. In a shear transformation, the shape is distorted by slanting it in one direction, altering both distances and angles between points. These transformations result in figures that are not congruent to their original form.
Dilation
Flexing is one such transformation.
A rigid transformation means it has the same size and shape so it would be a dilation
dilation (APEX)
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.
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.
A transformation that does not preserve distance and angle measures is a non-rigid transformation, such as a dilation or a shear transformation. In a dilation, the distances from a center point are scaled, changing the size of the figure but not maintaining the original shape. In a shear transformation, the shape is distorted by slanting it in one direction, altering both distances and angles between points. These transformations result in figures that are not congruent to their original form.
Dilation.
Dilation
Dilation
Dilation
Transformation
Dilation