Which symbol is used when comparing objects that are the same?

The symbol used when comparing objects that are the same is the congruence symbol, which is represented as ≅. This symbol indicates that two geometric figures have the same shape and size, which is a key concept in geometry when discussing congruence. For example, if two triangles are congruent, we can denote them as triangle ABC ≅ triangle DEF, which means that all corresponding sides and angles are equal.

The symbol for similarity (∼) indicates that figures have the same shape but may differ in size, meaning they are proportionate but not necessarily identical. The equality symbol (=) is used to show that two quantities are exactly the same, which can also be applied in geometry but does not specifically address the congruence of figures. The greater than or equal to symbol (≥) is used to compare numerical values rather than geometric objects. Therefore, the congruence symbol is the correct choice when discussing figures that are identical in both shape and size.