# Transitive property

The transitive property is also known as the transitive property of equality. It states that if we have two equal values and either of those values is equal to a third value, that all the values must be equal. In variables:

If a = b and b = c, then a = c

The transitive property may be used in a number of different mathematical contexts. One example is algebra. You may have two expressions that are equal, that you are told are equal to a third algebraic expression, which may allow you to potentially solve for missing variables.

The transitive property does not necessarily have to use numbers or expressions though, and could be used with other types of objects, like geometric shapes.

Example

Say we have a circle, A, that we know is identical to another circle, B. If we are given a third circle, C, then told that this circle is identical to circle B, then we know that the third circle must also be the same as circle A: