Geometry worksheet focusing on identifying and matching definitions related to lines and angles.

To solve the problems in the worksheet, we need to analyze the given image and identify the relationships between the lines based on their orientations and intersections. Let's go through each question step by step.

Image Analysis:

The image shows a geometric figure with several labeled lines and points. The lines are labeled as follows:
- Horizontal lines: \( UV \), \( XY \), \( AB \)
- Vertical lines: \( MN \), \( PQ \)
- Diagonal lines: \( RS \), \( ST \), \( VZ \), \( GR \)

Problem Solutions:

#### 1. Which line intersects \( PQ \)?
- From the image, we can see that the horizontal line \( AB \) intersects the vertical line \( PQ \).
- Answer: \( AB \)

#### 2. Which line is parallel to \( MN \)?
- The line \( PQ \) is also vertical and does not intersect \( MN \), so it is parallel to \( MN \).
- Answer: \( PQ \)

#### 3. Which lines are perpendicular to each other?
- Perpendicular lines form right angles. From the image, the horizontal lines \( AB \), \( XY \), and \( UV \) are all perpendicular to the vertical lines \( MN \) and \( PQ \).
- Answer: \( UV \) and \( XY \), \( GX \) (Note: \( GX \) might be a typo or additional line not clearly visible; assuming \( UV \) and \( XY \) are correct.)

#### 4. Identify the four right angles.
- Right angles are formed where horizontal and vertical lines intersect. These intersections occur at points where \( AB \), \( XY \), and \( UV \) meet \( MN \) and \( PQ \).
- Answer: \( UV \) and \( XY \), \( GX \) (assuming \( GX \) is part of the intersection pattern)

#### 5. Which line intersects four other lines?
- The line \( RS \) intersects four other lines: \( UV \), \( XY \), \( AB \), and \( MN \).
- Answer: \( RS \)

#### 6. Which two lines are perpendicular to \( AB \)?
- The vertical lines \( MN \) and \( PQ \) are perpendicular to the horizontal line \( AB \).
- Answer: \( MN \) and \( PQ \)

#### 7. Which line is parallel to \( XY \)?
- The line \( UV \) is parallel to \( XY \) because they are both horizontal and do not intersect.
- Answer: \( UV \)

Final Answers:

1. \( AB \)
2. \( PQ \)
3. \( UV \) and \( XY \), \( GX \)
4. \( UV \) and \( XY \), \( GX \)
5. \( RS \)
6. \( MN \) and \( PQ \)
7. \( UV \)

\[
\boxed{AB, PQ, UV \text{ and } XY, GX, RS, MN \text{ and } PQ, UV}
\]