Topic: Redundancy,

Best Answer Explained in Below-:

In English, the phrase "to show resemblance" is conventionally paired with the preposition "to." When we say that two people, such as brothers, resemble each other, we imply that they share similar characteristics or features. The preposition "to" serves to establish a connection between the two subjects, indicating that one is being compared to the other.

Let's examine the other options to understand why they are incorrect:

- **A) with**: While "with" can signify association, it doesn't imply comparison or similarity in the same way "to" does. Saying "show resemblance with" is not standard in English.

- **C) at**: This preposition denotes a specific location or point in time rather than a relationship of similarity. Therefore, it is ill-suited for this context.

- **D) for**: This suggests a purpose or reason, which does not align with the meaning of similarity or likeness.

Thus, "to" is the appropriate choice because it correctly conveys the idea of comparing the two brothers and highlights their shared attributes. Therefore, the complete and accurate sentence is: "The two brothers show resemblance to each other."