Which of these properties are not preserved by a dilation?

Dilation, a transformation that scales a figure from a fixed point, preserves certain properties, but not others. For instance, angles measure the same before and after dilation, meaning that angle congruence is preserved. However, it’s important to note that distances and lengths are not preserved; all sides are scaled proportionally, so the original lengths of sides of geometric figures change in size.

Additionally, while the geometric shape and angles of figures remain unchanged, the area does not maintain its original value. For instance, if a figure is dilated by a scale factor of 2, the area increases by a factor of 4! This can lead to some surprising results in geometric calculations!