Compound sentence:

A compound sentence is a sentence that consists of two or more independent clauses joined together by a coordinating conjunction such as "and," "but," or "or."

Explanation:

The given statement "I like playing basketball, and my brother likes playing tennis" can be classified as a compound sentence. Let's break it down to understand why.

- Independent clauses:
- "I like playing basketball"
- "my brother likes playing tennis"

Both of these clauses can stand alone as separate sentences because they express complete thoughts and have a subject and a verb.

- Coordinating conjunction:
- "and"

The coordinating conjunction "and" is used to join the two independent clauses together.

Therefore, the given statement "I like playing basketball, and my brother likes playing tennis" is a compound sentence because it consists of two independent clauses ("I like playing basketball" and "my brother likes playing tennis") joined by the coordinating conjunction "and."

Why it is not a simple sentence:

A simple sentence consists of only one independent clause and does not contain any conjunctions to join multiple clauses. In the given statement, we have two independent clauses joined by the conjunction "and," which makes it a compound sentence rather than a simple sentence.

Why it is not a complex sentence:

A complex sentence consists of one independent clause and at least one dependent clause. In the given statement, there are no dependent clauses present. Both clauses express complete thoughts and can stand alone as separate sentences, making it a compound sentence rather than a complex sentence.

Why it is not a compound-complex sentence:

A compound-complex sentence consists of two or more independent clauses and at least one dependent clause. In the given statement, there are no dependent clauses present. Therefore, it cannot be classified as a compound-complex sentence.

Hence, the correct answer is option 'B' - Compound.

D