The given property states:
\[
\text{If } a = b \text{ and } b = c, \text{ then } a = c.
\]
This is called the Transitive Property of equality.
### Explanation of other options:
- Reflexive Property: \( a = a \), which is different.
- Trichotomy Property: Compares two numbers (\( a<b \), \( a = b \), or \( a>b \)), which is unrelated.
- Symmetric Property: States \( a = b \Rightarrow b = a \), which does not match.
Thus, the correct answer is Transitive Property.