Final answer:
The property that verifies the statement 'if kl=mn, then mn=kl' is the Symmetric Property of Equality, demonstrating that the elements of an equation can be reversed while maintaining the equation's truth.
Step-by-step explanation:
The property that justifies the statement if kl=mn, then mn=kl is known as the Symmetric Property of Equality. This property states that if two things are equal, then one can be swapped for the other without changing the truth of the equation. In simpler terms, if one quantity equals another, their places can be exchanged, and the equation remains valid.
This is similar to understanding various mathematical principles and logic arguments. For example, if we have a logical syllogism based on assumptions like All gazintz are gazatz, and All gazatz are garingers, we can conclude that All gazintz are garingers. Similarly, when we understand that certain mathematical statements are true, we know that related equations and properties will also hold true.