Symmetric Property of Equality

Topic

Equations

Definition

The Symmetric Property of Equality states that if a = b, then b = a.

Description

The Symmetric Property of Equality is a basic principle in mathematics. It asserts that the equality relation is symmetric, meaning that if one quantity equals another, then the second quantity equals the first. For example, if 

x = y

then

y = x

This property is used to justify steps in solving equations and proving mathematical statements.

In real-world applications, the symmetric property underlies the concept of equality and is fundamental in logical reasoning and proofs. Understanding this property helps students build a strong foundation in algebra and develop rigorous mathematical arguments.

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