Which of the following is NOT one of the four main types of transformations?

The choice indicating that "Equalizations" is not one of the four main types of transformations is correct.

Transformations are fundamental concepts in geometry that change the position, size, or orientation of figures. The four main types of transformations include translations, which involve sliding a figure from one position to another without rotation or reflection; rotations, which involve turning a figure around a fixed point; reflections, which involve flipping a figure over a line; and dilations, which change the size of a figure while maintaining its shape.

"Equalizations" does not pertain to any standard transformation in geometry and does not have a recognized definition or application in this context, thereby making it the outlier among the provided options. This understanding is key for differentiating between various geometric transformations and reinforcing the foundation of geometry principles.