Answer:

The common characteristic of the vitamins given above in the pie-chart is that they are all fat-soluble.

Explanation:

Definition of fat-soluble vitamins:
Fat-soluble vitamins are a group of vitamins that are soluble in fat or lipids. This means that they can be dissolved and stored in the body's fatty tissues. These vitamins are mainly absorbed through the intestines along with dietary fat and are transported through the bloodstream with the help of proteins.

Examples of fat-soluble vitamins:
The vitamins mentioned in the pie-chart are Vitamin A, Vitamin D, Vitamin E, and Vitamin K. These vitamins are all fat-soluble.

Functions of fat-soluble vitamins:
1. Vitamin A: Vitamin A is essential for good vision, healthy skin, and immune function. It also plays a role in growth and development.
2. Vitamin D: Vitamin D is important for the absorption of calcium and phosphorus, which are necessary for strong bones and teeth. It also helps regulate the immune system and may have a role in preventing certain diseases.
3. Vitamin E: Vitamin E is an antioxidant that protects cells from damage caused by free radicals. It also helps with immune function and plays a role in blood clotting.
4. Vitamin K: Vitamin K is necessary for blood clotting and bone health. It also has a role in regulating calcium levels in the body.

Characteristics of fat-soluble vitamins:
1. Storage: Fat-soluble vitamins can be stored in the body's fatty tissues and liver for future use. This means that excessive intake of these vitamins can lead to toxicity, as they are not easily excreted from the body.
2. Dietary requirements: Fat-soluble vitamins are found in foods that contain fats or oils. Therefore, a diet that includes healthy fats is important for the absorption and utilization of these vitamins.
3. Transport: Fat-soluble vitamins require the presence of dietary fat for proper absorption and transport in the body. They are transported through the bloodstream with the help of proteins.

In conclusion, the common characteristic of the vitamins given above is that they are all fat-soluble. This means that they can be dissolved and stored in the body's fatty tissues and are absorbed and transported with the help of dietary fat.