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In this problem, you're identifying corresponding parts in two congruent triangles, where each side and angle in one triangle matches a side and angle in the other. Based on the information in the image:

### Triangles and Corresponding Parts
- The triangles \( \triangle ABC \) and \( \triangle WXY \) have matching sides and angles, as follows:

1. **Sides:**
   - \( CA \cong WX \): Both are the longest sides at 29 ft.
   - \( AB \cong XY \): Both are 12 ft.
   - \( CB \cong WY \): Both are 21 ft.

2. **Angles:**
   - \( \angle A \cong \angle W \): Both angles are marked as congruent.
   - \( \angle B \cong \angle Y \)
   - \( \angle C \cong \angle X \)

The correct selections from the options are:
- \( \angle A \cong \angle W \)
- \( CA \cong WX \)
- \( AB \cong XY \)

These alignments are essential in congruence because each triangle's corresponding sides and angles must match in size and measure.

Would you like more details or have any questions?

### Related Questions:
1. What are the properties of congruent triangles?
2. How do you determine the congruence of triangles using different postulates (SSS, SAS, ASA)?
3. Why is it important to match corresponding angles and sides when proving congruence?
4. How can side lengths and angles in one triangle predict measurements in a congruent triangle?
5. What are common mistakes to avoid when identifying corresponding parts of congruent triangles?

### Tip:
When comparing triangles, pay close attention to how each angle and side corresponds to ensure accuracy in identifying congruent parts.

What are the corresponding parts of the figures below? Select all that apply.

Learn how to identify corresponding parts of congruent triangles by matching sides and angles. This geometry problem involves recognizing congruent angles and corresponding sides in triangles with given measurements. Suitable for students in Grades 8-10.

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