It seems you have uploaded images of your homework on parallel lines, transversals, and angles. Let's work through the key questions from the sheets.

Image 1: Transversals and Angle Relationships

1. Naming the transversal and angles:

   • A transversal is a line that crosses at least two other lines.
   • Corresponding angles are on the same side of the transversal and in corresponding positions.
   • Alternate interior angles are between the two lines and on opposite sides of the transversal.
   • Alternate exterior angles are outside the two lines and on opposite sides of the transversal.
   • Consecutive (same-side) interior angles are on the same side of the transversal and inside the two lines.
   • Consecutive exterior angles are on the same side of the transversal and outside the two lines.

2. For example:

   • Using the diagrams in the image, if we assume the two lines are parallel:
     • Corresponding angles would be like ∠1 and ∠5.
     • Alternate interior angles: ∠3 and ∠6.
     • Alternate exterior angles: ∠1 and ∠8.
     • Consecutive interior angles: ∠3 and ∠5.
     • Consecutive exterior angles: ∠1 and ∠7.

Image 2: Parallel and Perpendicular Lines in 3D

1. Identifying segments:

   • For example, in the first figure, segments parallel to XY could be WZ and ST, since they lie along the same axis/direction.
   • A plane parallel to UVW could be any plane that lies on the same flat surface but does not intersect it.
   • Skew segments are non-parallel and do not intersect.

2. For the parallelism and skewness:

   • Example relationships:
     • In the cube figure, AB and BC are intersecting, while AE and BF are parallel.

Would you like me to clarify any specific part, or dive deeper into any of these sections? Here's a quick list of further related questions you could consider:

1. How can you tell if two angles are corresponding just by looking at them?
2. What is the difference between consecutive interior and alternate interior angles?
3. How can we identify if two segments in space are skew?
4. How do you determine the relationship between a plane and a line?
5. Why are corresponding angles always congruent when lines are parallel?

Tip: Always check for the parallel condition in geometry problems involving transversals, as many properties depend on it.