contraction
rotation, translation, and reflection
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.
The identity transformation.
A translation, a reflection and a rotation
rotationtranslationreflectionshifts (trig)
rotation, translation, and reflection
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.
Please don't write "the following" if you don't provide a list. We can't guess that list.
The identity transformation.
A dilation would produce a similar figure.
congruence transformation
A translation, a reflection and a rotation
rotationtranslationreflectionshifts (trig)
A rotation or a reflection.
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.
A transformation: there are many different types of transformations.
A congruence transformation, or isometry, is a transformation that preserves distances and angles, such as translations, rotations, and reflections. Among common transformations, dilation (scaling) is not a congruence transformation because it alters the size of the figure, thus changing the distances between points. Therefore, dilation is the correct answer to your question.