Geometry Worksheets | Lines Worksheets - Free Printable

To solve the problem, we need to identify whether each pair of lines is parallel, perpendicular, or intersecting. Let's analyze each pair step by step based on the given image.

Key Definitions:

1. Parallel Lines: Lines that never intersect and are always the same distance apart.
2. Perpendicular Lines: Lines that intersect at a 90-degree angle.
3. Intersecting Lines: Lines that cross each other at any angle (not necessarily 90 degrees).

Analysis of Each Pair:

#### 1) Line FQ and Line HT
- Line FQ runs vertically from point F to point Q.
- Line HT runs horizontally from point H to point T.
- These lines intersect at a 90-degree angle.
- Answer: Perpendicular

#### 2) Line FQ and Line YG
- Line FQ runs vertically from point F to point Q.
- Line YG runs vertically from point Y to point G.
- These lines are parallel because they never intersect and are always the same distance apart.
- Answer: Parallel

#### 3) Line DZ and Line YG
- Line DZ runs horizontally from point D to point Z.
- Line YG runs vertically from point Y to point G.
- These lines intersect at a 90-degree angle.
- Answer: Perpendicular

#### 4) Line CN and Line HT
- Line CN runs horizontally from point C to point N.
- Line HT runs horizontally from point H to point T.
- These lines are parallel because they never intersect and are always the same distance apart.
- Answer: Parallel

#### 5) Line FQ and Line MW
- Line FQ runs vertically from point F to point Q.
- Line MW runs horizontally from point M to point W.
- These lines intersect at a 90-degree angle.
- Answer: Perpendicular

#### 6) Line DZ and Line FQ
- Line DZ runs horizontally from point D to point Z.
- Line FQ runs vertically from point F to point Q.
- These lines intersect at a 90-degree angle.
- Answer: Perpendicular

#### 7) Line CN and Line FQ
- Line CN runs horizontally from point C to point N.
- Line FQ runs vertically from point F to point Q.
- These lines intersect at a 90-degree angle.
- Answer: Perpendicular

#### 8) Line YG and Line HT
- Line YG runs vertically from point Y to point G.
- Line HT runs horizontally from point H to point T.
- These lines intersect at a 90-degree angle.
- Answer: Perpendicular

#### 9) Line CN and Line YG
- Line CN runs horizontally from point C to point N.
- Line YG runs vertically from point Y to point G.
- These lines intersect at a 90-degree angle.
- Answer: Perpendicular

#### 10) Line HT and Line MW
- Line HT runs horizontally from point H to point T.
- Line MW runs horizontally from point M to point W.
- These lines are parallel because they never intersect and are always the same distance apart.
- Answer: Parallel

Final Answers:

1. Perpendicular
2. Parallel
3. Perpendicular
4. Parallel
5. Perpendicular
6. Perpendicular
7. Perpendicular
8. Perpendicular
9. Perpendicular
10. Parallel

Boxed Answer:

\[
\boxed{
\begin{array}{ll}
1. & \text{Perpendicular} \\
2. & \text{Parallel} \\
3. & \text{Perpendicular} \\
4. & \text{Parallel} \\
5. & \text{Perpendicular} \\
6. & \text{Perpendicular} \\
7. & \text{Perpendicular} \\
8. & \text{Perpendicular} \\
9. & \text{Perpendicular} \\
10. & \text{Parallel} \\
\end{array}
}
\]