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In the problem shown, you are asked to identify the corresponding parts of two quadrilaterals. Both figures have the same shape and proportions, indicating that they are congruent or similar figures.

### Explanation of the Corresponding Parts:
1. **∠A ≅ ∠U**: Angle \( \angle A \) corresponds to angle \( \angle U \), as they are in the same relative position in both quadrilaterals. Both angles are marked identically.
   
2. **CB ≅ ST**: Side \( CB \) (37 inches) corresponds to side \( ST \) (also 37 inches). Both are opposite to the longest sides of the quadrilaterals.

3. **∠C ≅ ∠T**: Angle \( \angle C \) corresponds to angle \( \angle T \). Both angles are located at the vertex opposite the shortest side in each quadrilateral.

4. **AD ≅ RS**: Side \( AD \) (13 inches) corresponds to side \( RS \) (also 13 inches). These are the shortest sides of the quadrilaterals.

These selected options correctly identify the corresponding angles and sides of the figures.

Would you like more details or explanations about this problem? Here are 5 questions to help you dive deeper:

1. How can you determine whether two shapes are similar or congruent?
2. What criteria must be met for two polygons to be considered congruent?
3. What role do corresponding angles and sides play in identifying similarity?
4. How can you use proportions to verify similarity between two figures?
5. How do transformations (like rotations or reflections) affect corresponding parts?

**Tip:** When comparing corresponding parts, ensure that both the angles and the sides match in relative position and measurement.

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

Learn how to identify corresponding parts of two similar quadrilaterals. This problem involves congruent angles and proportional sides. Suitable for students in Grades 7-9.

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