In geometry, which term describes two shapes that can be transformed into each other by rotation, translation, or reflection?

The term that describes two shapes that can be transformed into each other by rotation, translation, or reflection is "congruent." Congruent shapes have the same size and shape, meaning that when one shape is manipulated through these transformations, it will perfectly overlap with the other shape. This concept is fundamental in geometry, where congruence is often denoted by the symbol "≅."

In contrast, the term "similar" refers to shapes that may have the same shape but are different in size, which means they cannot become identical through rotation, translation, or reflection alone. "Dissimilar" is not a standard geometric term; it generally indicates a lack of similarity, but it does not convey any of the properties of transformation. "Equivalent" can imply a relationship in terms of area or value but does not specifically refer to the geometric transformations that define congruence. Therefore, understanding that congruence hinges on shape and size being identical, with transformations allowing for their alignment, emphasizes why "congruent" is the correct choice for this question.