https://file.aiquickdraw.com/mathbot/file/17280588347509nv8kqnd.jpg

Let's analyze the image and complete the information based on the congruent triangles.

### Congruent Angles:
We have two congruent triangles (as indicated by the marks on the sides and angles). Here are the corresponding congruent angles:

- \( \angle A \cong \angle X \)
- \( \angle B \cong \angle Z \)
- \( \angle C \cong \angle Y \)

### Congruent Sides:
The corresponding sides of the triangles are congruent as well:

- \( AB \cong XZ \)
- \( AC \cong XY \)
- \( BC \cong ZY \)

### Triangle Congruence Statement:
The two triangles are congruent, so the complete triangle congruence statement is:

\[
\triangle CAB \cong \triangle YXZ
\]

Would you like more details or clarifications?

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Here are 5 related questions that expand upon this information:
1. What are the different criteria for triangle congruence (SSS, SAS, ASA, etc.)?
2. How would you prove two triangles are congruent using the Side-Angle-Side (SAS) postulate?
3. If two triangles are congruent, what other properties (like perimeters or areas) are equal?
4. How can congruence be used to solve real-world geometry problems, such as construction?
5. Can congruence help in determining symmetry in geometric figures?

**Tip:** When determining triangle congruence, always ensure you are comparing corresponding sides and angles in the correct order.

Name all the corresponding congruent angles and sides, then complete the triangle congruence statement for the given triangles.

Learn how to identify congruent triangles by naming corresponding angles and sides. This example covers triangle congruence and provides a detailed solution with step-by-step congruence statements. Ideal for students in Grades 7-9 studying geometry.

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