Question:

If \( a = b \) and \( b = c \), then \( a = c \). This property is called:

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The Transitive Property applies to equality and inequalities. If \( a = b \) and \( b = c \), then \( a = c \).
Updated On: Mar 25, 2025
  • Reflexive
  • Transitive
  • Trichotomy
  • Symmetric
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The Correct Option is B

Solution and Explanation

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.
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