What geometric property do similar shapes share?

Similar shapes share the property that they have the same shape but not necessarily the same size. This means that while the angles of similar figures are equal, the lengths of corresponding sides are in proportion but not necessarily identical. For example, if you have two triangles that are similar, the angles of both triangles are congruent, and the sides are proportional to each other; however, one triangle can be larger or smaller than the other.

In geometry, similarity is a fundamental concept that often appears in various applications, such as in modeling real-world objects, understanding scale factors, or applying the principles of similarity to solve for unknown lengths and angles in figures. This property helps in making comparisons between different shapes while recognizing that they retain their respective proportions and angles, even when they differ in overall size.