An example of a condition that is only true if both components are the same is:

A bi-conditional statement is characterized by its requirement that both components of the statement must be equivalent for the entire statement to be true. In logical terms, a bi-conditional statement typically takes the form "P if and only if Q," meaning that for the statement to hold true, both P and Q must either be true at the same time or false at the same time. This condition signifies a direct relationship between the two components, ensuring that they mirror each other's truth value.

In contrast, the other types of statements do not require such stringent equivalence. For instance, a conditional statement only asserts that if one component is true, the other must also be true; this does not mean they are necessarily the same in all instances. A disjunction allows for one of the components to be true without the necessity of the other being true as well. Lastly, a conjunction requires both components to be true for the whole statement to be true but does not necessitate their truth values to be the same. Hence, the nature of a bi-conditional statement distinctly highlights the condition where both components must align perfectly to validate the statement as a whole.