Which of the following statements regarding vector graphics is true?

Vector graphics are defined by mathematical equations rather than a grid of dots, which is a characteristic of raster graphics. This means that each shape in a vector graphic can be adjusted or scaled independently of resolution without losing quality. The properties of shapes, such as lines, curves, and colors, are determined mathematically, allowing for infinite scaling without degradation. This mathematical representation also allows for more precise editing, as it is easier to manipulate individual elements based on their equations.

The choice about grid of dots describes raster graphics, emphasizing how they are made up of pixels. Resolution dependence refers to raster images as well; they can appear pixelated when enlarged because they lack the mathematical foundation for smooth scaling. Additionally, vector graphics are not limited to just black and white; they can represent a wide range of colors, making them versatile for various applications in design and illustration. Therefore, stating that each shape's properties are mathematically defined aligns perfectly with the intrinsic nature of vector graphics.