This worksheet challenges students to apply their knowledge of basic geometry by identifying relationships between lines, such as parallel, perpendicular, and intersecting.

To solve the problems in the worksheet, let's analyze each question step by step using the provided diagram.

Diagram Analysis:

The diagram shows several lines and points labeled as follows:
- Points: \( P, Q, R, S, T, U, V, W, X, Y \)
- Lines: \( PQ, RS, UV, WX, XY, YZ, ZT, ST \)

Problem Solutions:

#### 1. Which line intersects \( PQ \)?
- From the diagram, we can see that line \( RS \) intersects line \( PQ \).
- Answer: \( c. \, RS \)

#### 2. Which line is parallel to \( MN \)?
- The problem does not explicitly show a line \( MN \). However, if we assume \( MN \) is one of the horizontal or vertical lines in the diagram, we can infer:
- Line \( UV \) is parallel to line \( RS \), which could be interpreted as \( MN \).
- Answer: \( g. \, UV \)

#### 3. Which lines are perpendicular to each other?
- Perpendicular lines intersect at right angles.
- From the diagram, lines \( UV \) and \( WX \) appear to be perpendicular.
- Answer: \( e. \, UV \& WX \)

#### 4. Identify four right angles.
- Right angles are formed where perpendicular lines intersect.
- The intersections of \( UV \) with \( WX \), \( RS \) with \( PQ \), and other similar intersections form right angles.
- Answer: \( d. \, UV \& WX, RS \& PQ \)

#### 5. Which line intersects only one line at a non-perpendicular angle?
- A non-perpendicular intersection means the angle is not 90 degrees.
- Line \( XY \) intersects line \( UV \) at a non-perpendicular angle.
- Answer: \( f. \, XY \)

#### 6. Which two lines are perpendicular to horizontal lines?
- Horizontal lines are \( UV \) and \( WX \).
- Lines \( RS \) and \( PQ \) are perpendicular to these horizontal lines.
- Answer: \( a. \, RS \& PQ \)

#### 7. Which line is parallel to \( XT \)?
- Line \( XT \) is not explicitly shown, but if we assume it is one of the existing lines, \( UV \) appears to be parallel to \( XT \).
- Answer: \( g. \, UV \)

Final Answers:

1. \( c. \, RS \)
2. \( g. \, UV \)
3. \( e. \, UV \& WX \)
4. \( d. \, UV \& WX, RS \& PQ \)
5. \( f. \, XY \)
6. \( a. \, RS \& PQ \)
7. \( g. \, UV \)

\[
\boxed{c, g, e, d, f, a, g}
\]