The image shows a geometric problem involving a rectangular prism. You need to determine the relationship between line segments or planes, specifically whether they are parallel, skew, or perpendicular.

Let's analyze the statements one by one:

1. $\overline{AB}$ and $\overline{FB}$ are:

   • These two line segments are perpendicular because $\overline{AB}$ is vertical, and $\overline{FB}$ is horizontal.

2. $\overline{CD}$ and $\overline{EF}$ are:

   • These segments are parallel because they are on opposite sides and run in the same direction.

3. $\overline{GH}$ and $\overline{AE}$ are:

   • These segments are skew because they are not parallel and do not intersect, existing in different planes.

4. Plane $CDH$ and plane $ABF$ are:

   • These planes are perpendicular because the vertical side and horizontal base meet at a right angle.

5. Plane $GEF$ and plane $AEG$ are:

   • These planes are perpendicular since one plane is a vertical face, and the other is a horizontal top face of the prism.

Would you like any additional details or explanations?

Here are some related questions:

1. How can you identify skew lines in a 3D figure?
2. What are the properties of parallel planes?
3. How do perpendicular lines and planes interact in a three-dimensional shape?
4. What is the difference between skew lines and parallel lines?
5. How do you determine the relationships between planes in three-dimensional geometry?

Tip: To determine if lines are skew, check if they lie in different planes and do not intersect.