The correct answer is option (E):
Rafter
Let's analyze the relationship between the first pair of words: Bracket: Shelf. A bracket is a supporting structure for a shelf. It provides a means to hold the shelf in place.
Now let's examine the options and how they relate to the word "Strut". We are looking for something that acts as a support, similar to how a bracket supports a shelf.
* Bucket: A bucket is a container, not a support.
* Valve: A valve controls the flow of something. It doesn't act as a supporting structure.
* Girder: A girder is a large supporting beam, often used in construction. This could work, but let's see if another choice is closer.
* Hammer: A hammer is a tool for hitting things. Not a supporting element.
* Rafter: A rafter is a structural component of a roof, similar to a beam, providing support.
Comparing the options, a rafter acts as a structural component to support a roof. This mirrors the role of a bracket in supporting a shelf. Both are elements designed for support. Although a girder can be used as a supporting structure, the relationship between "Strut" and "Rafter" is most directly analogous to the relationship between "Bracket" and "Shelf."