A translation, a reflection and a rotation
translation
The identity transformation.
An enlargement transformation will give the result of a similar shape.
A similar figure has the same interior angles as a congruent figure but its sides are in proportion to a congruent figure.
It is an enlargement
A dilation would produce a similar figure.
translation
Please don't write "the following" if you don't provide a list. We can't guess that list.
Translation, rotation, reflection.
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.
Yes
Figures are congruent if and only if they are related by a translation, reflection, or rotation, or some combination of these transformations.
Two transformations that can be used to show that two figures are congruent are rotation and reflection. A rotation involves turning a figure around a fixed point, while a reflection flips it over a line, creating a mirror image. If one figure can be transformed into another through a combination of these transformations without altering its size or shape, the two figures are congruent. Additionally, translation (sliding the figure without rotation or reflection) can also be used alongside these transformations.
The identity transformation.
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.
An enlargement transformation will give the result of a similar shape.
A similar figure has the same interior angles as a congruent figure but its sides are in proportion to a congruent figure.