The correct option is d.
The statement given is an example of the Symmetric Property, as it shows that if triangle HXA is congruent to triangle RGI, then triangle RGI is also congruent to triangle HXA. The order of the congruency doesn't change the truth of the statement.
Let's analyze the statement and the properties listed:
The statement is: "If triangle HXA is congruent to triangle RGI, then triangle RGI is congruent to triangle HXA."
Now let's define the properties listed in the options to find which one is illustrated by the statement:
A. Reflexive Property: This would mean something is congruent or equal to itself. This is not what the statement is saying.
B. Transitive Property: If one thing is equal to a second thing, and the second thing is equal to a third thing, then the first and third things are also equal. This property relates three elements.
C. Commutative Property: This property would mean you can change the order of something without changing the outcome, usually used in the context of addition or multiplication.
D. Symmetric Property: If one thing is equal to another, then the second thing is equal to the first. This is a two-way relationship.
Therefore, the correct answer is Symmetric