Final answer:
The correct answer is option A. Symmetric Property. The equation demonstrates the Symmetric Property, which indicates that values can be expressed in either order when they are equal.
Step-by-step explanation:
This is a concept from mathematics, illustrating that the order of terms does not affect the sum in an equation. This property of equality states that if two values are equal, they can be expressed in either order. For example, the notation mZUZR + mZHZL = mZRZU + mZLZH shows that the sums are equal regardless of the order in which terms are written, similar to how A + B = B + A.
This is exemplified in the commutativity of addition where 2 + 3 yields the same result as 3 + 2. Not to be confused with the Commutative Property which specifically refers to the ability to change the order of the numbers being added or multiplied while maintaining the same result.
The Symmetric Property states that if two angles or geometric figures are equal to each other, then they can be swapped or interchanged without changing their equality. In the given equation, mZUZR + mZHZL is equal to mZRZU + mZLZHA, which demonstrates the Symmetric Property. This property applies to angles in geometry and can be used to solve equations involving angles.