The property of equality that justifies the statement ‘if a = b, then b = a’ is known as the Symmetric Property of Equality.
This property states that if two values are equal, then they can be expressed in either order. In other words, if you have two quantities, say ‘a’ and ‘b’, and you know that ‘a’ is equal to ‘b’, it follows that ‘b’ is also equal to ‘a’. This concept is fundamental in mathematics, as it helps maintain equality regardless of the position of the figures being compared.