Which of these properties are not preserved by a dilation?

Dilation is a transformation that alters the size of a figure without changing its shape. While the angles of the figure remain the same in a dilation, the actual lengths of the sides do not. This means that properties like distance and perimeter are not preserved during dilation. So, while angles stay constant, any measurements that involve distance will change based on the scale factor used. Dilation can be applied in various real-world scenarios, such as in architecture and graphic design. For instance, when creating scaled models of buildings, architects use dilation to ensure that the proportions remain the same as the actual structure, allowing them to visualize and communicate design concepts effectively. This transformation is also essential in computer graphics for resizing images without losing their original shape.