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Let's go through the different sections and solve the problems step by step.

### Section 1: Identifying Segments and Planes
1. **One pair of perpendicular segments**:
   - Perpendicular segments intersect at a 90-degree angle. In the 3D figure, **segment AD** and **segment AB** are perpendicular.
   
2. **One pair of skew segments**:
   - Skew segments are non-parallel and non-intersecting. In the diagram, **segment AB** and **segment EF** are skew.

3. **One pair of parallel segments**:
   - Parallel segments do not intersect and are equidistant. **Segment AB** and **segment EF** are parallel.

4. **One pair of parallel planes**:
   - Parallel planes do not intersect and are equidistant. **Plane ABCD** (top face) and **plane EFGH** (bottom face) are parallel.

### Section 2: Identifying Angle Pairs (from the intersecting lines)
6. **Alternate interior angles**:
   - These angles are on opposite sides of the transversal and inside the parallel lines. **Angle 6** and **angle 3** are alternate interior angles.
   
7. **Alternate exterior angles**:
   - These angles are on opposite sides of the transversal and outside the parallel lines. **Angle 1** and **angle 8** are alternate exterior angles.

8. **Corresponding angles**:
   - These angles are on the same side of the transversal, one inside and one outside the parallel lines. **Angle 5** and **angle 1** are corresponding angles.

9. **Same-side interior angles**:
   - These angles are on the same side of the transversal and inside the parallel lines. **Angle 5** and **angle 3** are same-side interior angles.

### Section 3: Identifying the Transversal and Classifying Angle Pairs
10. **∠1 and ∠2**:
   - The transversal is line \( m \), and these are **adjacent angles** (because they share a common side).

11. **∠2 and ∠3**:
   - The transversal is line \( n \), and these are **alternate interior angles**.

12. **∠2 and ∠4**:
   - The transversal is line \( n \), and these are **corresponding angles**.

13. **∠4 and ∠5**:
   - The transversal is line \( m \), and these are **alternate exterior angles**.

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Would you like more details or explanations on any of these problems?

### Five Related Questions:
1. What are the properties of skew lines and how do they differ from parallel lines?
2. Can two lines that are neither parallel nor intersecting ever be coplanar?
3. What are supplementary angles and how do they relate to adjacent angles?
4. How can you identify the transversal in a set of intersecting lines?
5. How do you determine if two planes are parallel or intersecting?

### Tip:
When identifying angle pairs in diagrams involving transversals, always look for clues such as the position (inside or outside) of the angles relative to the parallel lines.

Identify perpendicular segments, skew segments, parallel segments, and angle pairs with transversals based on the provided 3D figure and intersecting lines diagram.

Learn how to identify perpendicular, skew, and parallel segments using 3D diagrams and classify angle pairs (alternate interior, alternate exterior, corresponding, and same-side interior) with transversals in geometry. Suitable for Grades 6-8.

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