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 xandy ,

if x=y , then y=x .

 

Transitive Property

The Transitive Property states that for all real numbers x,y,andz,

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.