Final answer:
The nonrigid transformations among the options B and E are dilation and stretch. These transformations alter the size or shape of the figure, unlike rigid transformations such as rotation, reflection, and translation.
Step-by-step explanation:
The question aims to identify which of the given transformations are nonrigid transformations. A transformation is considered nonrigid if it changes the shape or size of the figure it's being applied to. On the other hand, a rigid transformation maintains the figure's shape and size after the transformation. The types of transformations listed are rotation, dilation, reflection, translation, and stretch.
Rotation and reflection are examples of rigid transformations because they do not alter the size or shape of a figure. A translation moves a figure in a certain direction which is also a rigid transformation as it retains the figure's size and shape intact. Dilation changes the size of the figure while maintaining its shape, making it a nonrigid transformation. Lastly, a stretch alters the shape of the figure by expanding or compressing it in one or more directions, so it is considered a nonrigid transformation as well.
Therefore, the nonrigid transformations from the given options are dilation and stretch.
In conclusion, options B. dilation and E. stretch are the correct choices for nonrigid transformations.