## Core Concept
The management of liver injuries, especially in the context of trauma, depends on the severity of the injury, the hemodynamic stability of the patient, and the presence of associated injuries. The liver injury scale, often using the American Association for the Surgery of Trauma (AAST) grading system, helps in standardizing the assessment. A 1 cm deep laceration extending from the dome more than halfway through the parenchyma of the liver would be classified as a Grade II injury according to the AAST liver injury scale.

## Why the Correct Answer is Right
For hemodynamically stable patients with liver injuries, especially those that are not severe (Grade I or II), non-operative management (NOM) is often recommended. This approach includes close monitoring of the patient's vital signs, serial abdominal examinations, and repeat imaging studies. The goal is to avoid surgical intervention unless absolutely necessary, thereby reducing the risk of complications. Given that the patient is hemodynamically stable (pulse rate of 80/min and BP of 110/70 mm Hg) and the injury is relatively minor (1 cm deep laceration), non-operative management with close monitoring is appropriate.

## Why Each Wrong Option is Incorrect
- **Option A:** Immediate surgical intervention is generally reserved for patients who are hemodynamically unstable due to liver injury or have severe injuries that cannot be managed conservatively. This patient is stable, making immediate surgery not immediately necessary.
- **Option B:** While certain liver injuries may benefit from angiographic embolization, especially if there's evidence of active bleeding or a pseudoaneurysm, this patient's stability and the nature of the injury make this not immediately necessary.
- **Option C:** This option seems to suggest a treatment but is incomplete. However, if it implies a more invasive approach without specifying the need for stability or failure of non-operative management, it would be incorrect for this scenario.

## Clinical Pearl / High-Yield Fact
A key point to remember is that non-operative management of liver injuries is contingent upon the patient's hemodynamic stability and the availability of close monitoring and serial imaging. The AAST liver injury scale helps guide management but does not replace clinical judgment.

## Correct Answer Line
**Correct Answer: D. Non-operative management.**