Which is an example of a non-rigid transformation?

A non-rigid transformation alters the size or shape of a figure without preserving its distance and angles. Dilation is an example of a non-rigid transformation because it involves resizing a figure by a scale factor, expanding or contracting it relative to a center point. This means that while the proportions of the figure remain unchanged, the actual dimensions do change, leading to either an increase or decrease in size.

In contrast, transformations like translation, reflection, and rotation are all rigid transformations. These types maintain the size and shape of the original figure throughout the transformation process. For instance, translation shifts a figure from one place to another without altering its shape or size, reflection flips the figure over a line, and rotation turns it around a central point—all preserving the distances and angles of the figure's components.