The correct answer is Elastic cartilage.

- Elastic cartilage is distinguished by the presence of abundant elastic fibers within its extracellular matrix.
- These elastic fibers provide the cartilage with both strength and exceptional flexibility, allowing it to maintain shape while tolerating repeated bending.
- This type of cartilage is primarily found in structures that require flexibility, such as the external ear (auricle), epiglottis, and parts of the larynx.

In contrast:
- Hyaline cartilage contains a matrix made up of primarily type II collagen fibers and a relatively homogeneous, glassy appearance without visible elastic fibers. It provides support with some flexibility and is found in the nose, trachea, and articular surfaces of bones.
- Fibrocartilage is characterized by dense bundles of type I collagen fibers which provide tensile strength, making it ideal for areas such as intervertebral discs and the menisci of the knee.
- Calcified cartilage refers to cartilage that has undergone mineralization, typically seen in the zone of cartilage transitioning to bone during endochondral ossification, and it does not contain elastic fibers.

Key points:
- Elastic cartilage contains abundant elastic fibers.
- Provides both strength and flexibility.
- Found in structures requiring shape maintenance with flexibility (e.g., external ear, epiglottis).

Reference: Gray's Anatomy, 41st Edition, Volume 1, Chapter 5 / Page 127