https://file.aiquickdraw.com/mathbot/file/17268707699549rngfk48.jpg

The problem is asking to identify pairs of skew lines in a given 3D figure. Skew lines are lines that do not intersect and are not parallel, typically existing in different planes.

### Let's analyze the options:
1. **BC and CD**: These two lines are not skew; they are connected at point **C**, which means they intersect.

2. **EF and AH**: These lines do not lie on the same plane, but they do not meet either. Therefore, they are skew lines.

3. **EF and FG**: These lines are connected at point **F**, which means they are not skew since they intersect.

4. **CD and BG**: These two lines lie in different planes and do not intersect. Hence, they are skew lines.

### Correct Answer:
- The correct answer chosen (and highlighted) is **CD and BG**, which indeed form a pair of skew lines.

### Additional insights:
- **BC and CD** are intersecting at point **C**, disqualifying them as skew.
- **EF and AH** are skew since they neither intersect nor lie on the same plane.
- **EF and FG** intersect at point **F**, so they are not skew.

Would you like further details or explanations?

### Here are five related questions:
1. What are the conditions for two lines to be considered skew?
2. Can parallel lines ever be skew lines?
3. How can you identify if two lines are skew based on their planes?
4. What other pairs of lines in this figure might also be skew?
5. How do skew lines differ from perpendicular lines?

### Tip:
When analyzing 3D figures, remember that lines in the same plane either intersect or are parallel. Skew lines must exist in different planes and never intersect.

Consider the lines that contain the segments in the figure and the planes that contain the faces of the figure. Choose the pairs of skew lines.

Understand how to identify skew lines in a 3D figure. This problem involves the concept of skew lines, which are lines that do not intersect and are not parallel, typically existing in different planes. Suitable for high school students in Grades 9-11.

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