**Core Concept**
In flexion injuries causing supracondylar fractures, the distal fragment displacement is influenced by the mechanism of injury, which involves a combination of bending and axial loading forces. The distal fragment displacement in these fractures is a result of the imbalance of forces acting on the elbow joint during the injury.

**Why the Correct Answer is Right**
During a flexion-type supracondylar fracture, the distal fragment is typically displaced posteriorly due to the forceful bending of the elbow joint. This displacement occurs because the posterior aspect of the distal fragment is subjected to a greater force than the anterior aspect, causing it to move posteriorly with respect to the proximal fragment. The medial and lateral condyles of the humerus are often affected differently, with the lateral condyle being more commonly displaced posteriorly.

**Why Each Wrong Option is Incorrect**
* **Option A:** This option is not a recognized displacement direction for the distal fragment in flexion-type supracondylar fractures.
* **Option B:** While the distal fragment can be displaced in a posterior direction, it is not typically displaced anteriorly in flexion-type supracondylar fractures.
* **Option D:** This option is incorrect as the distal fragment can be displaced in multiple directions, but posterior displacement is more common than anterior displacement.

**Clinical Pearl / High-Yield Fact**
In flexion-type supracondylar fractures, the posterior displacement of the distal fragment can lead to a characteristic "posteromedial" displacement of the fracture fragments, which is an important consideration for accurate diagnosis and treatment planning.

**Correct Answer: C**.