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 and y,

if x = y, then y = x.

 

Transitive Property

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