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The problem is asking which property is illustrated by the statement:

"If \(\triangle HXA \cong \triangle RGI\), then \(\triangle RGI \cong \triangle HXA\)."

This is an example of the **Symmetric Property of Congruence**. The symmetric property states that if one figure is congruent to another, then the second figure is congruent to the first. In this case, if \(\triangle HXA \cong \triangle RGI\), then it naturally follows that \(\triangle RGI \cong \triangle HXA\), illustrating symmetry.

So, the correct answer is:
- **A. Symmetric**

Would you like more details on congruence properties or any other clarification?

Here are some follow-up questions you may find useful:
1. What is the reflexive property of congruence in geometry?
2. Can the transitive property be applied to triangles in geometry?
3. How is the commutative property different from the symmetric property?
4. In what other situations is the symmetric property used in mathematics?
5. Why is the concept of congruence important in geometry?

**Tip**: The symmetric property is not just for geometry—it also applies to numbers and algebraic expressions, reinforcing equality or congruence in different contexts.

Which property is illustrated by the following statement? If △HXA ≅ △RGI, then △RGI ≅ △HXA.

Understand the symmetric property of congruence in geometry through the triangle problem: If △HXA ≅ △RGI, then △RGI ≅ △HXA. Learn why the symmetric property is important in geometry.

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