**Core Concept**
The quadrilateral cartilage, also known as the major alar cartilage, is a key component of the nasal skeleton. It plays a crucial role in maintaining the shape and structure of the nose. The quadrilateral cartilage is attached to other cartilages and bones in the nasal cavity.

**Why the Correct Answer is Right**
Since the correct answer is not provided, let's discuss the general attachments of the quadrilateral cartilage. The quadrilateral cartilage is attached to the nasal bones, the septal cartilage, and the lateral cartilages. However, without the correct answer, we cannot determine which option is correct.

**Why Each Wrong Option is Incorrect**
**Option A:** Without knowing the specific options, it's challenging to determine why each option is incorrect.
**Option B:** Similarly, without the options, we cannot assess their accuracy.
**Option C:** The same applies to this option.
**Option D:** This option's correctness depends on the specific attachments of the quadrilateral cartilage.

**Clinical Pearl / High-Yield Fact**
The quadrilateral cartilage is a crucial structure in rhinoplasty procedures, as it provides the primary support for the nose. Understanding its attachments and relationships with other nasal structures is essential for surgeons.

**Correct Answer:** Not provided.