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Reflexive, Symmetric, Transitive, and Substitution Properties

Reflexive Property

The Reflexive Property states that for every real number $x$ , $x=x$ .

Symmetric Property

The Symmetric Property states that for all real numbers $x\text{and}y$ ,

if $x=y$ , then $y=x$ .

Transitive Property

The Transitive Property states that for all real numbers $x,y,\text{and}z,$

if $x=y$ and $y=z$ , then $x=z$ .

Substitution Property

If $x=y$ , then $x$ may be replaced by $y$ in any equation or expression.