Parallel lines are a pair of lines that lie on the same plane and never intersect. In other words, they are always the same distance apart and will never meet, no matter how far they are extended. They have some distinct characteristics that set them apart from other types of lines.

Properties of Parallel Lines:
1. Same Plane: Parallel lines always lie on the same plane. A plane is a flat, two-dimensional surface that extends infinitely in all directions.

2. Distance: The distance between two parallel lines remains constant at every point. This means that if you measure the distance between any two points on one line and compare it to the distance between the corresponding points on the other line, they will always be the same.

3. No Intersection: Parallel lines never intersect or cross each other. They maintain the same distance apart from each other from beginning to end.

4. Same Slope: Parallel lines have the same slope. Slope is a measure of how steep a line is, and it is determined by the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line. If two lines have the same slope, they are parallel.

Examples of Parallel Lines:
1. Railroad Tracks: The two tracks of a railroad are parallel to each other. No matter how far you follow the tracks, they will never intersect.

2. Sides of a Rectangle: The sides of a rectangle are parallel to each other. They are always the same distance apart and never cross each other.

3. Ladder Rungs: The rungs of a ladder are parallel to each other. They are evenly spaced and do not intersect.

Parallel lines have various applications in real life, including architecture, engineering, and geometry. Understanding parallel lines is essential for solving problems involving angles, triangles, and geometric shapes.

Parallel lines