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The image shows a problem involving angle congruence, specifically that \( \angle WXY \cong \angle WXY \), meaning the two angles are congruent. Since it is the same angle on both sides of the congruence symbol, this is an example of the **Reflexive Property of Congruence**, which states that any geometric figure is congruent to itself.

This reflexive property applies to angles, line segments, and other geometric figures. It is commonly used in geometric proofs when showing that a particular element in the diagram is congruent to itself.

Would you like further clarification on reflexive properties or geometric congruence?

Here are five related questions for further practice:
1. What is the Reflexive Property of Congruence and how is it used in proofs?
2. Can you explain the difference between congruence and equality in geometry?
3. What is the Supplement Theorem, and how does it relate to angle congruence?
4. How does the Reflexive Property apply to segments and triangles?
5. What are the other properties of congruence, such as the Symmetric and Transitive Properties?

**Tip:** When solving geometry problems, always look for relationships like congruence or parallelism that may be implicitly indicated by the properties of the shapes.

Prove that \( \angle WXY \cong \angle WXY \).

This problem demonstrates the use of the Reflexive Property of Congruence, which states that any geometric figure, including angles, is congruent to itself. Suitable for students in Grades 9-10, it serves as a foundational concept for geometric proofs.

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