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In this question, we are asked to identify the corresponding parts of two triangles that have been labeled with angles and side lengths. Corresponding parts in congruent triangles are those that match up in terms of position, length, or angle measure.

### Analyzing Corresponding Parts:
- **Side Correspondences**: 
  - \( FG \) (40 yd) on the left triangle corresponds with \( WX \) (40 yd) on the right triangle.
  - \( EF \) (43 yd) corresponds with \( YW \) (43 yd).
  - \( GE \) (17 yd) corresponds with \( XY \) (17 yd).

- **Angle Correspondences**: 
  - \( \angle E \) (66°) in the left triangle corresponds to \( \angle Y \) (66°) in the right triangle.
  - \( \angle F \) (24°) corresponds to \( \angle W \) (24°).
  - \( \angle G \) (90°) corresponds to \( \angle X \) (90°).

### Answer Choices Selected:
The selected correct pairs are:
1. \( FG \cong WX \)
2. \( \angle E \cong \angle Y \)
3. \( \angle G \cong \angle W \)
4. \( \angle E \cong \angle X \) (This one should be reviewed because \( \angle E \) actually corresponds to \( \angle Y \), not \( \angle X \)).

If you'd like further details or have any questions, please let me know!

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#### Related Questions
1. What are the rules for identifying congruent parts in congruent triangles?
2. How does the Side-Angle-Side (SAS) Congruence Theorem apply to these triangles?
3. Can we use the Angle-Side-Angle (ASA) Congruence Theorem here? Why or why not?
4. How do we handle cases where triangles share no clear corresponding labels?
5. What are some common mistakes to watch for when matching corresponding parts?

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#### Tip:
When identifying corresponding parts, always check each part (side or angle) carefully to ensure it matches by both measurement and relative position in the triangles.

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

Explore how to identify corresponding parts in congruent triangles, including angles and sides, using the CPCTC theorem. This question helps students understand triangle congruence and is suitable for Grades 8-10.

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