What is referred to when one figure can be perfectly matched to another using one or more rigid motions?

The term that refers to one figure being able to be perfectly matched to another using one or more rigid motions is congruence. When two figures are congruent, it means they are identical in shape and size. Rigid motions include transformations such as translations (sliding), rotations (turning), and reflections (flipping), which do not alter the dimensions of the figures. Thus, if you can align one figure to another through these motions, they are said to be congruent. This concept is fundamental in geometry and is used to establish the equality of geometric figures without the need for altering their size or shape.

In contrast, similarity involves figures that may have the same shape but can differ in size; equivalence does not specifically pertain to geometric figures, and proportionality relates to the ratio between dimensions rather than the equality of shapes.