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 is vertical.
- Line HT is diagonal.
- They do not intersect in the given diagram.
- Answer: Parallel

#### 2) Line FQ and Line YG
- Line FQ is vertical.
- Line YG is horizontal.
- They intersect at a 90-degree angle.
- Answer: Perpendicular

#### 3) Line DZ and Line YG
- Line DZ is horizontal.
- Line YG is horizontal.
- They are parallel (same direction, no intersection).
- Answer: Parallel

#### 4) Line CN and Line HT
- Line CN is horizontal.
- Line HT is diagonal.
- They intersect at a non-90-degree angle.
- Answer: Intersecting

#### 5) Line FQ and Line MW
- Line FQ is vertical.
- Line MW is vertical.
- They are parallel (same direction, no intersection).
- Answer: Parallel

#### 6) Line DZ and Line FQ
- Line DZ is horizontal.
- Line FQ is vertical.
- They intersect at a 90-degree angle.
- Answer: Perpendicular

#### 7) Line CN and Line FQ
- Line CN is horizontal.
- Line FQ is vertical.
- They intersect at a 90-degree angle.
- Answer: Perpendicular

#### 8) Line YG and Line HT
- Line YG is horizontal.
- Line HT is diagonal.
- They intersect at a non-90-degree angle.
- Answer: Intersecting

#### 9) Line CN and Line YG
- Line CN is horizontal.
- Line YG is horizontal.
- They are parallel (same direction, no intersection).
- Answer: Parallel

#### 10) Line HT and Line MW
- Line HT is diagonal.
- Line MW is vertical.
- They intersect at a non-90-degree angle.
- Answer: Intersecting

Final Answers:

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

Boxed Answer:

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